From bcf0e1926b0de6db99bbf24cdf991538a2b526de Mon Sep 17 00:00:00 2001
From: nbgitpuller <nbgitpuller@example.com>
Date: Wed, 21 Jun 2023 16:57:23 +0000
Subject: [PATCH] WIP
---
index.ipynb | 7 +-
.../2_1_1_PO_observation.ipynb | 14 +-
.../2_2_1_PO_configuration_explorer.ipynb | 12 +-
tour2_constant_bond/fragmentation.ipynb | 6 +-
tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb | 2 +-
.../4_1_PO_multilinear_unloading.ipynb | 239 ++++++-
tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb | 583 ++++++++++++++++--
7 files changed, 773 insertions(+), 90 deletions(-)
diff --git a/index.ipynb b/index.ipynb
index e2e7ab4..0efc67b 100644
--- a/index.ipynb
+++ b/index.ipynb
@@ -168,7 +168,8 @@
"metadata": {
"pycharm": {
"name": "#%% md\n"
- }
+ },
+ "tags": []
},
"source": [
"<a id=\"tour2\"></a>\n",
@@ -206,9 +207,11 @@
{
"cell_type": "markdown",
"metadata": {
+ "jp-MarkdownHeadingCollapsed": true,
"pycharm": {
"name": "#%% md\n"
- }
+ },
+ "tags": []
},
"source": [
"### 2.3 - Multiple cracking - fragmentation\n",
diff --git a/tour2_constant_bond/2_1_1_PO_observation.ipynb b/tour2_constant_bond/2_1_1_PO_observation.ipynb
index d12b7d5..4bd0f9d 100644
--- a/tour2_constant_bond/2_1_1_PO_observation.ipynb
+++ b/tour2_constant_bond/2_1_1_PO_observation.ipynb
@@ -73,7 +73,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 1,
"metadata": {},
"outputs": [
{
@@ -92,10 +92,10 @@
" "
],
"text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f1ffe3af5e0>"
+ "<IPython.lib.display.YouTubeVideo at 0x7fb7bccdcd60>"
]
},
- "execution_count": 7,
+ "execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
@@ -244,7 +244,7 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
@@ -265,7 +265,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
@@ -283,13 +283,13 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "035be0ad6897436a808b9c1a668f7ba8",
+ "model_id": "a1c99f5be85a4e47b03fc60630307d7d",
"version_major": 2,
"version_minor": 0
},
diff --git a/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb b/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
index 2414623..63a8a2b 100644
--- a/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
+++ b/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
@@ -12,7 +12,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 1,
"metadata": {
"tags": []
},
@@ -33,10 +33,10 @@
" "
],
"text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7fb5a48dff70>"
+ "<IPython.lib.display.YouTubeVideo at 0x7fe1c43dca30>"
]
},
- "execution_count": 15,
+ "execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
@@ -88,7 +88,7 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 2,
"metadata": {
"tags": []
},
@@ -109,10 +109,10 @@
" "
],
"text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7fb5a4d45d90>"
+ "<IPython.lib.display.YouTubeVideo at 0x7fe1c4387cd0>"
]
},
- "execution_count": 16,
+ "execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
diff --git a/tour2_constant_bond/fragmentation.ipynb b/tour2_constant_bond/fragmentation.ipynb
index 458e0e1..729de02 100644
--- a/tour2_constant_bond/fragmentation.ipynb
+++ b/tour2_constant_bond/fragmentation.ipynb
@@ -23,7 +23,7 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 1,
"id": "5287f7df-3d9d-4aba-b454-8a199c9f2238",
"metadata": {},
"outputs": [
@@ -43,10 +43,10 @@
" "
],
"text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7fae983c3f10>"
+ "<IPython.lib.display.YouTubeVideo at 0x7f39885ff430>"
]
},
- "execution_count": 25,
+ "execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
diff --git a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
index 49aafac..43aafc8 100644
--- a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
+++ b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
@@ -36,7 +36,7 @@
" "
],
"text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f34a444c820>"
+ "<IPython.lib.display.YouTubeVideo at 0x7f80604028e0>"
]
},
"execution_count": 1,
diff --git a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
index 0cf8ad9..7386e1b 100644
--- a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
+++ b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
@@ -17,9 +17,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/html": [
+ "\n",
+ " <iframe\n",
+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/SCuoGg7_8GE\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f62343c09a0>"
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('SCuoGg7_8GE')"
@@ -94,7 +118,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
@@ -129,9 +153,24 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "a39a0163bc8a49dea1204e5a3c2a0fea",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"po_trc.loading_scenario.profile = 'cyclic-nonsym-const'\n",
"po_trc.loading_scenario.profile_.interact()"
@@ -147,7 +186,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
@@ -165,9 +204,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "4a67453e049b474e9f9d7949c7054ef2",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"po_trc.reset()\n",
"po_trc.run()\n",
@@ -192,9 +253,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "a442e215c89a429cb59e4e18f507d492",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"A_f = 16.67 # [mm^2]\n",
"A_m = 1540.0 # [mm^2]\n",
@@ -242,9 +325,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
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+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f5fec0f9be0>"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"YouTubeVideo('btj1SgUjBeA')"
]
@@ -320,6 +427,104 @@
" <a href=\"4_2_BS_EP_SH_I_A.ipynb#top\">4.2 Basic concept of plasticity</a> <img src=\"../icons/next.png\" alt=\"Previous trip\" width=\"50\" height=\"50\"> </div> "
]
},
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
{
"cell_type": "code",
"execution_count": null,
diff --git a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
index 2cfe39c..bd276dc 100644
--- a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
+++ b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
@@ -17,9 +17,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 1,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/html": [
+ "\n",
+ " <iframe\n",
+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/OLMa5bYffSA\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f691462a670>"
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('OLMa5bYffSA')"
@@ -77,9 +101,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 2,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "3b784325f6914082a86ab0db6fb26d6f",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"%matplotlib widget\n",
"from plastic_app.bs_model_explorer import BSModelExplorer\n",
@@ -99,9 +145,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 3,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: Update progress bar from model - not implemented yet\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "07122a5af6934c32a55b744748c77e99",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"bs.s_1 = 3 # load to 3 mm\n",
"bs.run()\n",
@@ -157,9 +225,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 4,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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\n",
+ "text/html": [
+ "\n",
+ " <iframe\n",
+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/BlsIRMT7SEo\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f66cd6f5b20>"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"YouTubeVideo('BlsIRMT7SEo')"
]
@@ -223,9 +315,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 5,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/QOALP75E4uU\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
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+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f66cd6f5700>"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"YouTubeVideo('QOALP75E4uU')"
]
@@ -246,7 +362,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "skip"
@@ -322,13 +438,29 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
+ ],
+ "text/plain": [
+ " _______\n",
+ " ╱ 2 \n",
+ "-τ_Y + ╲╱ \\tau "
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"tau = sp.symbols(r'\\tau')\n",
"tau_Y = sp.symbols(r'tau_Y', real=True, nonnegative=True)\n",
@@ -362,13 +494,27 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 8,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle E_{b} \\left(s - s_{pl}\\right)$"
+ ],
+ "text/plain": [
+ "E_b⋅(s - sₚₗ)"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"s, s_pl = sp.symbols('s, s_pl') # total slip and plastic slip\n",
"E_b = sp.symbols('E_b', positive=True) # E modulus\n",
@@ -449,13 +595,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}$"
+ ],
+ "text/plain": [
+ " _______\n",
+ " ╱ 2 \n",
+ "\\lambda⋅╲╱ \\tau \n",
+ "──────────────────\n",
+ " \\tau "
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"lambda_ = sp.symbols(r'\\lambda', nonnegative=True)\n",
"dot_s_pl_ = lambda_ * f_tau_.diff(tau)\n",
@@ -561,13 +725,27 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 10,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)$"
+ ],
+ "text/plain": [
+ "E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_tau = sp.Symbol(r'\\dot{\\tau}') # will be used later just to display the derived expressions next to this symbol\n",
"dot_s, dot_s_pl = sp.symbols(r'\\dot{s}, \\dot{s}^\\mathrm{pl}') # control slip and plastic slip rates\n",
@@ -589,13 +767,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\frac{E_{b} \\left(\\dot{s} \\sqrt{\\tau^{2}} - \\lambda \\tau\\right)}{\\tau}$"
+ ],
+ "text/plain": [
+ " ⎛ _______ ⎞\n",
+ " ⎜ ╱ 2 ⎟\n",
+ "E_b⋅⎝\\dot{s}⋅╲╱ \\tau - \\lambda⋅\\tau⎠\n",
+ "───────────────────────────────────────\n",
+ " \\tau "
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_f_ = f_tau_.diff(tau) * dot_tau_.subs(dot_s_pl, dot_s_pl_)\n",
"sp.simplify(dot_f_)"
@@ -614,13 +810,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\frac{\\dot{s} \\tau}{\\sqrt{\\tau^{2}}}$"
+ ],
+ "text/plain": [
+ "\\dot{s}⋅\\tau\n",
+ "────────────\n",
+ " _______ \n",
+ " ╱ 2 \n",
+ " ╲╱ \\tau "
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"lambda_solved = sp.solve( dot_f_, lambda_)[0]\n",
"lambda_solved"
@@ -680,13 +894,27 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\dot{s}\\right\\}$"
+ ],
+ "text/plain": [
+ "{\\dot{s}__\\mathrm{pl}: \\dot{s}}"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"{dot_s_pl : dot_s_pl_.subs(lambda_, lambda_solved) }"
]
@@ -727,13 +955,27 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{\\tau} : 0\\right\\}$"
+ ],
+ "text/plain": [
+ "{\\dot{\\tau}: 0}"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"{dot_tau: sp.simplify(dot_tau_.subs(dot_s_pl, dot_s_pl_).subs(lambda_, lambda_solved))}"
]
@@ -749,9 +991,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 15,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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EgFhFhN5By7FfrTT6VSkGMJJxg+aRYA9PStTVugO0mrs2lrThLpdMWjh1rLWeq6mjOAfBB81zcjxHQVxMRdpkubdzRtMqUNW0HUgCS9wMgm2Jx3dS6Ghac+vo9R1RgYQ6IE5WO/rU/Jr7FS/P/cVvaX9W743rtWWkaMagZBiBxifDJZDR3B+MOJOENwkwBG8WVOn16tNlPZMLiTBgG3JmTANrcN62dBqPfRpuqDC8tBcIiDF7HJcxhiJtZmZimo/VhdRFElsAkzBuTP3ZtnxWQ1eRTqU5BDzJMZdm/vHRC26TnkuxNAAPJgzIha+lVqjagDAS3DeGzhvmOJ6P+l0hQ0EUy5zQC50Am4gQBbPhvVWj6r2bmuDpLYgXAsHDp5++clt6Y5wpuLPOHwfBRojyQ6XB8GA4CJsD+5QU1tBL6Zpl2EFxfIuZJLhEjcSL9Cwq6DUNRzxVIDsNhI6HWmLjtnfZZ4n7b6x0Yo2eERHGYlbGlPe2mTTaHvtDSYm977rIKNF0E03l20c4REGe+5+JV9Ok4Pc4ukHIcFa2YE2K1NCrV3VKoq0wxjXRTIPnCTfPgB3oNCvSdjfyXecdx4qvZO5ru4rr6U94jB/aTfgYy3qys5wY4sGJwBwiYk7hKDibJ3Nd3FNk7mu7iuzo73kHaMDTJgAzI3FVac+sANi1rjDpxbju8fYg5eydzXdxTZO5ru4rddpGkzIoiA7KRJHK6bRDe9QNJ0oD6nHc7w0kTaL57o6M7oNPZO5ru4psnc13cV19GfUIdtGgEG0ZFW03OIlwwnhM+KDh7J3Nd3FNk7mu7it2q+t84AGLDOWHk4eTeYjLHvBkCBxv1jVrNa3Ysxuc4A/0gzLsx0IOXsnc13cU2Tua7uK7GibTZjaxjvMZZ28IV6DgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iunWr1WvcG08QiQckZpbwRtGBjbySbCwi5te6DmbJ3Nd3FNk7mu7iugNKrXOw7MXX/jxVukveDYuHJthbMngbWGXDMoNLRGuioBZ0WkZG8SE0HTi97qThymTLpF4MXAy6OIvZX0fravWFfCD4H5P1mMrONR7WAsIBdlMgx4Lc1zpNM6M1rarKj8bSQ3oBE+K4+gaBU0l+CkAXATcxb4KnTtW1dHdhqgNO68yOgriYjNbuJnLT67Ummso6voueTcuAAEknEbALfGmMrUXuYTaxBEEHgQuXqfQzV0DRi12B9NznNMSJxHMLoUtDNKlVL346lQ4nGIHCwXbh1abeSLnILLB0lRT80dQWaDDB0lMHSVmiDDD0lMHSVkiCis7CRLnC4EC8kqmnWaT9fMEgyW3IAJGW4GbK6vSxFpyLXBwtPQfAla9LVrGEQX2IN43BoAy3YGoLG1MVMOa8uaRIc25PUALqGHG1pZVdBAOQkjjBFpU/NyKeyBOHDhxTygMrWhWU6WHeTYC4G6eAHFBU6q3EW7YgiJEttMwLj4hWU6ofOF+KCQYORGYVFXVrHFxJfefHFIy343d9oV7aZbOG4JJvum5i3Wgwa/aAlj3iJF2xB6nCd6zcCASahEDMxbpyWNCiabQ0EuHF2fTkBPHtUuoSwMJcSMPK3y0gg5RMieCCkaS3DiNeGnCRcCzsp65Vj3YIxViMToE4b/0iyqZq1jRAL7AAZWjDfLPkN6LLYdTLomRBBBGdusIMWuBNqs3Npb1R4jvWTTAkvJAFzaLZlUM1YxrsQL5xTuvdpva/mN6bK91AFhYZggid90FTtJZhLtsA2JmRYAxN925ZVHhjcTqxAJaASWxfKLb1gNXsvd/KDgcvvZnLPw6FbUpF4wumJBBGctIIOUZhBAeJP8UWdxFugqHgiG7V+IgwSBw6o6VWdWsxF0vkmTlxJjLK/XYK51IucxzvuEkATmRGfaUE4HR9Y7rt/hSxrhm8nKMlnCQgxAN+Uf8ACmDxKmEhBEHiUg8SphIQRB4lIPEqYRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiVmG9JWKsbkg0KX1tXrCvVNL62r1hXoPP/khUO3q8rCdnYzH3gul8pnPGi/xHtfFRuCCJAgzPh3L4+hoz6rsLG4jn1DiSbAdKz0jQKlIBzmjCbBzXBwnhLSb9CxnBeLNbqMWlPRPkq6dAon8f95XR0v6t3xvXzuqK1VmqaBpAES7GZu1uMyR/ncupodV79GcXyR9xxzcOnj1781s5dmn5o6gs1hT80dQWaAsXGATwCyUEIK31SJt92c+GayxXI4R4ps28B3KcI4IMNJqljZAklzWj8xAnsmexVV9KLajGBslxyGcb3dAEi/ZmQrNIpFzQAYIc1w7CDHaAR2qG6IwVHVBOJxEnEbwIAicujK5O9BaHXI4LU0fWTalN1RrTgGISLyQYsB8X61t4c879J8OC1qWrqTGljAWtIaIDnDzAA3fnAAnfF0Gy14LQ7dE3sq6WkNe0OEwTGRWdOnhmCTPEk7o39Sxp0GsY1jZDWgAcozbK+ZQV19MDKjacS5zXOF480gR1nF4FWVquFoIvJAHaY+OpQ7Rml+O+KALOIsDIELBuiBtNrAScJDgT0GfjrQWMrtOK9mmCdyOrNDS6RAzMoyg1uKB5xl03kxG/oAR9BpaWxDTmBb2INenpT3vIayGibmc4tPD/AJVlLSsTqcDk1GFwPCIt24vAq+IEDcLLXpaLhdTg8mmwtA4kxB7A0+sUGyiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiDRpfW1esK9UUvravWFeg86+T5BZUaIx4g477YSGuI3ta4gnhIO5b+tXsNCq7NpaWgyDJkYGyBcghzugda+Up48Y2ZcHzYtJB7CFnpNes4jbPqOIyxkmOqVK0S3ovyR/l1H8/wDe5dPS/q3dX7rk/JOoBq6gTP38gT993BdSu8OpOIntBHgVVW6ZpBpaOagAJa0WKs0OsalJjyILmgwOlaut/sb/AMI9oV2qvs1H8DfYtKjJftnc/qV6baIizaChSiAi5muyQKF4G15Uuc0Rs3+cW7pjthUnTarBhpMD+QXtjE4ENBls7ziwet0IOyi4Z02rjDpxNbIxBrg1zSaUmOgOffoPSp+e1HuDhdpcA1uEiQKwbin8MdG/JB20XFoadpFQsaC0Yi3E7Zu5JLHucyCcwWtv/Ura+n1RQoPDQ11RoLiWkhpLZiJG/wDxmUHVRcKvrSu3c0O5X8PA4m1IvBDt8kZR0ZgrLSta1BjNO4Bdh5BIcGtYYmd5c7IHLoQdpFxWaXVaXS777gXlpOBu0dFgb2w3/qByCspaZXJDiG4RgBGAy7ESC7ORkDF0HXULS1VpL6rCakEgi4bAyBMXM3ngdxC3kEIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIg0aX1tXrCvVFL62r1hXoPgfkdoNGsau0eA8Foa0OAcRviexXfKnVdLRxhYDDmlwxGYIXy7dHcQDA4rZqNrvDQ95cAIGJxMDt3LTD+SYiuzPFgidX3PyVoh+raAPF+4H77uPWupUohlFwGWeQHsAWj8k2xq+iDmMf97l0tL+rd8b1m0Ya3+xv/CPaFdqr7NR/A32KnW/2N/4R7QrtVfZqP4G+xa+P7wx8vzltoiLJsIiIChausNLNJrS1uIk3EE8kXcYHRbrIVZ1m3Z1HgTgdBgzPbkg3lK03aeAG4gAXOc0y4RyTBg7zwC1m67Yd247/i0Zk+KDqoufW1mGsa4Nu5pcATHdxzvwF1Gk6yNNzWEDEQw8BynYSBxPAdBQb7mAlpIktMjoMEewnvUrlHXbS2Q25DiJPBpcPZB6eOat0jWoZUeyByMzO6A423ecO4oOgi5TtdDCS0CQN7v68B8cpiehWO1pcBrQbkRiE2IEdBk5HiEHRUrRqaxGw2rACCbSdxyPaIIHSEo6xxVRSLYcZm/X3+b4hBuouadcAXwGJA7b4hPEFpb1hYDXF2jCDLSSAbyGzluHWg6qLQp6zDnuZhgta8m4+5EwOHKsegrDyw2JwiBFw4ReTY/lI64CDpIuc7W7QQMMySLEWggX4G+R3T1LLR9ZtqGAPuF2c5GD2IN9FoU9ZtLHugcghpva5iSdw74HTZY+VheGTGfKFgASZ6eSY4yEHRRc1utsgWAGcNnWmG5cfPFuh3C+FLXII5Tb33wPOwgmd3EoOqi5rda2YS0HHSa+Ab3BJgbxZZ1tYEbPC0EVGlwl0GARHg6UG+i59PWrXNqODTDCBcxmcN+GU9UKvy00G4G+Ljc3Fnkd9+pB1EXMbrgSeS2Nxxf0h1yYjMgcbZK3SNZbN5bgJAMSD+Hd/wD0b49obyLmP1uMfJDXM5NwZuXEGOOXtWI1yLnCMIDTYyJcSPOG7Ldx4IOqi1G6cDRdUgtGTQbkncIG+TESsK+sww0xhLjUAIIyvbuksH5gg3kXNpa1nDiaAThnlAC7cWZ6N3HvWVPWR2IqFnKtIB4sx+xB0EXOfrZrZBEOBiC4cSJ6uT4qKmtcLGvhsF5bGK8YC4dpjLpQdJFpU9YhzXFrDIeGQTFyYvw6VV5YaRIYTacxIABJnh5pjjZB0kWjpGshTJ5BgQJNrniImN8qmprtjWlxbAwzBcJym43Wy4oOoi5vlYAOxNyL4wmfNub9StqacTQFSmBiLmtjPNwbxHGRcIN1FzX6zIIbhGIOAd3GeSCYytcyFHlpstGAnEQAQQReN/W5jet3Qg6aLmeWAKYeWWIkXAmASerKwXTQEREGjS+tq9YV616P1tXrC2EHnWrKNMsO0k8kRGYt7V0quzq6GZAmiIY4CLWsfjNfPUtLDQLkEALN2n4hBcYWE4L/AJif2/16oxfiye/73fVaDtTquk2iXh7nvbyRnL3Zn7o6V0tBq1n6ITXBDpIk2JE7xFlj8lTOgUj01P73Lo6X9W743rd5WGt/sb/wj2hXaq+zUfwN9ip1v9jf+Ee0K7VX2aj+BvsWvj+8MfL85baIiybChSoQU6RpTaeHFPKMCAT8Zo3TKZmHizcR6omfEd4WVWi15bizaZFyLj2qunoFJuItbGIQYJyiONsggl2m0xm6LTkeMZcZIt0qaemU3EBrwScvjsJ6YVTNWUWkEMgjLlO4g8eICzZoFJrw8NhwsDJ4R7EEnTacxive0GbRu7R3hQdPpBodjGE3B6Ime66wOraQDsILSd+I8QePFo7lDNV0g0CHHk4budlhwm0wJHBBYdOpc8dxzmI65tGaUNKpOcQw3JnI3sLz1R3dCjyfSxYsHKmZk54sU58f8ZKaeg0mua4NMty5TrWw5TwQZN0umXYQ68kRfdH+R3hYP02niwF178bbs+3PoKinq2i0ghpkHEOU7OImJ6EGraOIuwmSZPLdeTJkTETuyQKWl0A3kuaAIEDqtbqFuiFnW0tjKe0Jlp4Cd0/ssPJtGIwTYi7nHOBx4NEcNyz+ZswYCCW8MRtaM/jMoIoV6VmsI3wL8TOe+QenNQzWFItDsUAibjK2K/C11kzQ6bX7QNh17yd5JNu0qt2rKJiWGwjznZQG8eACCDpNAvdMSRBJG42j/wBb9V8ln8/pD7wj/H/F1DtXUS7EWkmZ852dzYTbMrL5jStychGZyjDx4IMvndOHHEOTAPaYHXeywbp9MuDcUEkgTvg4fbHeFDNXsAeDiIfEiTYAyAOAuVHk2lia4AjCDbEYMkOvxuEFztIaC4Xlgk2MR1myg6XTwF+LkgwTBUnRmnHOI4xDgXOjKLCYHYq3aupFjmFvJc7ERidcxEzPBBkdNpD74+9/659g4o/TaQdhLxPb0j9j3HgsDq2iZJaTJJMudme1S3QKQEYSc83OJvO8n+t3egh+mUXDDixYjhgTvgd3KF+lWUtKpuOFpvJERHmkg+w9yrZq6k2MLSIM2c7dBEibxAsrGaHTa7GAZknMxJmTGU3PegwOmUXDz2kSO/MR3SOxS3T6RxcoDCQL9ImywZqyi0ABkATHKNpjK/8ASOrcpOraO9k55k7wATnnDRf/ACUGb9MptDSXWcCQerO2f/Ss2zcQbNyJCrOhU4aMNmggXORsVPzRm0FSOWBAMnLqy3oMPn1FzfPBaQZ4RE36I71LdNpThDrjdB3T/g9x4FYnV1KIwmIiMTrgDCJveAFlU0Ck7NsyZzP9XT/W7vQQdPphrnzyWmOvkh1uw+BUt06kfvAGY7fgjvHFR5PpYMGE4ZnznTOHDnM5WQ6uomORkZFznbw5It0IA1hSmMW4HI75iOJMZDo4rNumUzMPBgSTuiJmeojvCw8n0uDjlcvdNpIvO6Ssm6HTAgNtBbmciAD/AGhBXU1nSaJxSL+bfIEnwBVrtLpgAl2cxYzYwbdZA6zCrbq2iBAZAmczwjjwWdTQqbhDmyL7z95wcfEAoIOn0s8Yi17xcTn1CehH6fSAJxZSbAnLP9u9Vu1VSJBgjKeU64ALQDfKCVkNW0RMNImZhzhnmM8rZILHaWwOwkwbG4O/L2exVfOqLajx5rh5xIIFhOasqaHTc4OIMwB5zsheDe/7pU0Km7FibOPzrm9o7EEnS6YaHYrGY7DB7ZICw+f0pjF8Zdt7W4FHaAwim2IawkgSbkgi5/MT1xwUN1bREwyJM2c4XmbXsgsZplM4eV5zWuA6HZT1/sVgdPpzAJOdwCQIjx5Qt0qXaBSOHknkNDW8p1gMt+fTmo8nUsOHCY/E7o3zP3W9yCKmk0HABzmkSOr/AKzW0tUatow0YTDYgYnWjt7+O9bLGwAJJjec0EoiINGl9bV6wr1RS+tq9YV6Dy3VWiio/lDfH7kxvXR03U7Doz67CBgkxhiYzyPSuHo2lOpGQt/TtfPrURRAwt+8S4uc7fnuE7lljia/56319d1wfkxxM4ZrK+1+SJ//AB1H8/8Ae5dPS/q3fG9cv5Ify6j+f+9y6ml/Vu+N61Rhrf7G/wDCPaFdqr7NR/A32KnW/wBjf+Ee0K7VX2aj+BvsWvj+8MfL85baIiybCIoQV1aZJaQ6InxVeg6O6kzC5+PpPx29pWwpQEREBERAREQEREBERAREQEREBERARFru0oCu2iWulzS4Oi1jBBPFBsIi1tPY91Mtp75B6iCLT0x2Sg2FK1NGYS9znTDQ1rQeI84jrkD8q2TUaDBInhKDJFCxpVQ9oc3IoM0REBERAREQEREBERAREQEREBERAREQFClEEIpRBoUvravWFeqKX1tXrCvQebag1ONIcQ5sncCYERMrb118n20KTnYMBbkQ6QbTC5eqNaHRibuBNwW58Fsay186tTc2XuLudkF6cE4P09a6fbYYoxZtL4fYfJD+XUPz/wB7l1NL+rd8b1y/kh/LqH5/73LqaX9W743rzN2Gt/sb/wAI9oV2qvs1H8DfYqdb/Y3/AIR7QrtVfZqP4G+xa+P7wx8vzltoihZNkoiIIUrX0wvDW4CQcTQYANiYOa1jp1TZh4pGcUFoBuMGLeBvt2FB0UXNOmVjSe4MhwIgQTYgd9yVZS0yoarabqRAvLhlvy7h6yDeRcrylVaxpdRLnReAea08LXce5TV1hVa4jYl0WgTne8kZGBEc4IOoi5ztNq4gBSzBO+N0TbPNKesXOFX+HdgaQJM3c5t7f0z29qDoouW3WNTE0GmeUAQCCDnkLZ33x2LZqaQ5rqlpDGSGwRJzziPjrQbaLmN1lUIkUpEkWxXILha2/CO/vzo6dUeKk0izDlne8WtxDuyDvQdBFz3afUFEvNI4gRDRJmWh3Dpjr7lNbT3NeWtZiENve07zbIR1oN9QuYdYVTlSLbtzBIgtJM2UjWNWG/wXE8kE9JE8OrtQdJSuZpOnVW1XNbTkNa85G5ABF4sDJFpy7FkNPqYi3ZEQ6ATMG8bgevtQdFRC5lLWFUhs0pJA4gXm+WVuu4VlfTqjRTiiXF2cTYzF7cS3sk7kHQWlrLSBTbP3oJEkgWz3qv59UNJz9i4FpMNOZ5M9O+yxOm1cRBpAgTuNodhnK439QKDOlULq5a0tLGkhxvmPutvcjeYgZZzG0/RWOeHkHEI+8d3RMLnDT3h4Jo4W4XTDXTMAjdvJI+IVw1hUxNGxN3Qc7Xi8jhe27vQbpoMLsWEYuMXShSDGBoJIG85rRqaZVa+p/DxNbkADORPbkO9Zv06oBTiiSXzN7C4AnrmexBvouY7WFUhuGk4SW2IMwXZkRa3aJUHWFTFamcPJizt84ibZCAg6iLQpabUIcTRNmFwAmSQGmLjfigdXdW3Wb5bipRJjflN3C0RA4/5QdJSuU/WVQ+bSI5M3DubMZZyQrW6fULgNlYmCeVa7RwzGInhye4Ogi5ztYPFRzRSdAc0TBuDIJy3QO8LoIJREQEREBERAREQEREBERAREQaFL62r1hXqil9bV6wr0HkWj6KahN4jx6B0qaujYQTiy3QppVYBkk5dwUVtKaWkAGSoPQvkh/LqH5/73LqaX9W743rlfI7+W0Pz/AN7l1dL+rd8b1Rhrf7G/8I9oV2qvs1H8DfYqdb/Y3/hHtCu1V9mo/gb7Fr4/vDHy/OW2iIsmwiIghERARSiCEUoghQ1gEwAJuY3rJEEQiIghrQBAAAG4KUUoISEUoIRSoQEUoghFKhARa1Nr8VU8q/m4sMW4RfvWWjirDsZbP3YuO2wQXrWdpY2opjpDjwOEO9hUVhWhoGFxxNJIGGGggkRNye72GNIwlxacJcWk2acWERaQZ3i3Sgu0SqalNryMOISBvAOU9KtWvo1faNdhIOElvmkCRnnnwt0jcmjiqMW0g8A0z+wQbKhUaHjDYqCHS42Mi5kDjkY7Ny2EEJClEEIpUICIpQFClEBERAREQEREBERAREQFBKlUab9TV/A72INaif4tXrC2Fo6ty/Kz+1byDxzEolS5RC5HpXyQ/l1D8/8Ae5dTS/q3fG9cv5Ify6j+f+9y6ml/Vu+N66GGt/sb/wAI9oV2qvs1H8DfYqdb/Y3/AIR7QrtVfZqP4G+xa+P7wx8vzltoiLJsIiIKdIr4ADhc6SBaMzYZkLGnptJwEPFzAE3nh4jvCtqUw4AHcQe0GQqDq+lia7DdkRfKIj2DuQTV0+kwwXiQYIF4zz7j3LIaZSty23iL8cvaO8LA6BTJmDMzmc7k+LiVDNXUmvxhsOmZn44DuQWO0ymDhLxMx2xP7FKemU3GA8EzHXYG3YQsH6vpuLiQZcZNzwI/dY0tW0mua4Nu2IkkxAAHsCC06XTGb296xdp9ICcYjr3cfjgVhU1bSdm0+cXZnMkE+wePFKmraTnYiDPEOI3R+6C1ml03GA4TMDpsDbvCsbUaSQCDGfQtdmrqQcHhvKBmSd/FY19AxF0OLQ/FiubkgAWyyEINh2kMD8BcA4xA4z/0sH6dSa7CXtBmM8jBN+49ymrojHvD3A4hEXO649qrfq6k4kkG5J8475nsOI9/Ugy+fUonGIib2tvN1Pz2l/uN459Me1VO1XSJJIMkEeccjFvALJ2rqRcXYeUTMzeZxT3oLG6XTLA/GA0gOkncd6j57SmC9o6z0A/uFi7QKZDRyoaIHKOXTxWJ1ZSwFsGCINz0f4CDN2n0g1rsYLXGARe4MHuKzbpVMzD22GI33RM9xHeqqegtDGtcS4tcXzJzLsXdKmnq+k3EWtguGEmTlEZ9gQZO02kBJe0WBz4kD2kDtCyp6VTcQGvacWUHP4hUt1ZSBBAMjK54g90tFlkzV9Jrw8N5QAAM8BA9p70GR0ykPvt37+ET7R3hDp1INDjUbhORm3FVeTKYktlrjeZJvIP/AMjuUM1XTDQDiMNw3cebhPeEFx02lE7Rvf0x7bLU2VKq52Cu4F0jkkTDsJOExNw0X6THRZ80oBxfFw6+c4sWP2+CtpaBTa5rgDLcrm1sPsQNGqUmgU2vaYsAIERFgBwBHeFtLTp6tpNcHAGQcWZzgCfALcQFClQgKVClBCKVCApUKUBERAREQEREBERAREQEREBYuaCCCJBsQskQc+g0CpVAEAEABbCopfW1esK9B44VClxuoXI9K+SH8uofn/vcuppf1bvjeuX8kP5dQ/P/AHuXU0v6t3xvXQw1v9jf+Ee0K7VX2aj+BvsVOt/sb/wj2hXaq+zUfwN9i18f3hj5fnLbREWTYREQEREBERAREQEREBERAREQQpREBERAREQQtelpjHAEmCT5pzzwiRuvbrWwRKo+aMx4o3NAGQGEkggdZQRU06m2oKZcMRi0jfkpqVxj2U3LC4kZi4A9p7lesdm2ZgTxi/xYINCjojGObaQ12PzT52HAIEWAatrStNp0oxmJmLjd1rX0dtfEC7khxBcLGOTeL8bdi6CCmrpAaWDe8wB+6qdp7A4i9sU24EDsF8z1rZdTaTJAJ6R2+0BVVtFY8EFovvAE5z+yCjym0kANdJwxIjPDn/5G+KtbpgLgMJgvLATvIBNvVKzbotMCMA64vu39g7gsxSaDIaBcm3E5nrQZoiIIREQFKhEEoiICIiAiIgIiICIiAiIgIiINCl9bV6wr1RS+tq9YV6Dx7CFEhCVjC5HpfyR/l1D8/wDe5dPS/q3fG9cv5Ify6h+f+9y6ml/Vu+N66gbDqTalPC8S0gSFnSphjQ1ohoEAdCU/NHUFml9kruIiIoiIgwq1WsALnBoJgSQL8EFRtuULkgXzIzHge5amtNANdoAeGETeCcxG4jjvkcQVp1dRPc6dubF5BwmRiLredEcu9t2Y3B2lC5lbVLnMpt2zgWUyyb3JLTJE5Q0iODjdUt1G4EOFd8jDflbsA539Dv8AyHtDsOcBmQJtdY1azGCXua0ZS4gLjD5PuLC12kOmGgOAIww5zjAJOeIDsXTdoxLMJI89rrA7nB0QSeCDYa4ESCCOIUki3TkuadVHECKhAxYiAMziLpzzvErOvq0vc4l+ZJFjIOEgXndMiy6qNxvzeN6LmHVbv93KbFpgzF3XubTNrwrG6ucGPbtJxODri1jMETecilRuN01G3uLWN9+ayXOfqoGm1hdMOxFxFzLS0nPO+azoauLKjnbQkFpAbe05AXyHBKjcb0iY3oSLdOS5DtVVBgAqAwRNiIAdMgA5xI7TxWx5O/hhmMwHA77jDhIz3mT2pUbjeLgMyLqVoVdWB2zkghgIuNxII39Cinq1wbVBrEl8XIygze9846glRuOiscYiZEcZXNOqnRG2O6LG1oJF85gjgQodqlxttBAmBhyJAE5/0261aw7jqIue3VhDg41JgyLHnAyb5kAgnpVWl6re7altW7pIBBiYIEkHdIg7oUqNx1UDgcjK5tTVj3ETVEA5YTlI6c4kdqhmqSMINSwiRBuMUlufm9H/AElRuOmoxDORnHbktGpq3E1gL/NZhmOjPPq7lSdVvNU4nBzJm8yeU1wbnlyT39KREbjqgoue3VpFNjBUu1+Muw58Zvn0qkamfhA27snCYO8ROedpPGUrDuOsi0Bq2GVGh8B/QYHLLspvYhvUOFlW7VLiCDVm2cEGYIBN90iOEdqVG46aAi/RmuW/VBJd/FcAbAAHkjFMC+USO1S3VJDT/Flx85xbnlMif6T3q1h3HTBUF44i375LnHVjtiKYqQ4OxF+HMxEm+c3noUHVJxA44HJmxkwZIJnI8OgJWHcdNCQM7LlHVDsLQKuGA4WbxBFr2zHcFb8wcW1WkgBz2lgNwGtIdBE7zi7COClRuOhKjGOI4Z71z6WrXBzC6oHBhkAtOcAG89Fuves/J5w1AHwXuxSAQe8GUqNxvJK0PJxLaYNS7JuBH3g6w3QGkdqy0PQTScXYgZAB5JyE5XMXM9cpUbjca8HIg9RUyJib8PjqXPGrIp1GB4Be4EnDwi0TfJKurS6DtIcGNbMZwHA79+OexKjcdAkDOyEgCTYBcsaoMAGrJBBu05DDECbEYT6xSnqghpBqkmIBg2sQTnvmVaw7jqJK5nk17XU8LpAILpncWkkdJwnvUu1WS8uL5BdijDuxAkTO+AOruUqNx0lK5LdUPAA2xPnXIN5aBxztJjNdHRqZYxrSZIETEeCTER0kWoiLkaFL62r1hXqil9bV6wr0HjiLINJUEGVyPSPkh/LqH5/73LqaX9W743rl/JD+XUPz/wB7l1NL+rd8b1Rt0/NHUFmsKfmjqCzVBERAREQa2lvqjDs2h0mHdAznwI7QtNtbSy2SwSN0Z2d0/ht0rc0vTG0sOIOOIxyRMcSeha7NcUyHEhwAjPDkQCDnwIXcXXQUNqaWZ5F5kAwBaN85HlWW5RrVNi41GOLwCYbYnOAJOdv+lQzXDSYFN/AThBJxFpGcC43qxms2uY97WOIa3EJgYh0XtlvhWYnYY6MyqKbicRe5zbEmGiRZs3gCbnMz0BY1DpRojdUm5AGRZOU7nGOxWHWjNmakOwtImYyImRHRuzUN1mHNc4U3WLBBgHlOwnuTXrQilU0jaAObycRBMbhkc7cVjUr6SCMLJ5RmwsJA517Endl2LLRtbNeWNLHhzgJsCGy0OEkHfP8A0nlZogOY4HFFoNsWEOzylKnYRo9fSMTdowBkXgXmSB+yw0vSdJbUhjOSTDThnJpPEZkBS7XLQR/DfBBP3ZnkmIB4OWflZswGPN4Hm3l2ARfiDnCtT1oVM0jSiRDAW4rkiPvRAvlF5/6RtfS8LiWCRECM5z39Q+JWxS1ox7XODXwGY91xwAnPrVPlpoLpY6BGWGYwYyTJ3QbCU12RdUdXFXkgYJEyN3IHG1i89nfQ52lBzy3lCSACBlLzIvwwLYrayaypgwvJ4iI+7OZnJ4VQ1zTxNaWvBcQBYb8rg9XrBSInYTWr18NNoaMbmOLhwIHXvmO1UvqaYQTgAs4Wg7rQCRN7dRV9XWzGOcCx9iR92+ES6L2gcY6FhU1w0TDHWxTMDzRM55JrsLK1SuDDW2ht4B4ScxfOyoq1NLwmGgEg5AckwYGe8xdX09aMc8MDXyTEwIB4EzxkdYKO1qwG7XZnm5Ahs58SOnoTXZVAfpQmGzwmDHJyz52/pV+PSAx5wtL7YRHEwRnuEFY+V2SAWPaTGeHecrHOLrEa6ZIGzqXDTkJElwMibRh8UqdkVg6W4tJ5E5gAEC7enhiW02tW2lIFkMLRjPAwZ38QB291Plgcn+G8AiTMTGEOsATNirK2tabAwkOh4JbAFx375HrBJiZ7KpdX0sAchptJtG4GM/xdw7a2aVpLwMLeSSeVhAMBxvE8AO/u2KGtMb8OzcBYYpG8AiRPTCx8rgF2Km8AOLREGTiLYzzMK67IxZV0uGjA22EEnfIk7+mOsFZaVXrte6G/wwRBjdhMnO94/wCFZW1qxjWuwvIc0OsBYEEiQSL2OSrq66pMPLD23ieTxIO/dhceppUiJ2DRa2kvBJAALCWy2IMNwzfeS/u78aNfSy5mKm0Au5XQLHjwJHW1XaPrLHUwGm5smASRnyrG/wDQVlo+sBUqNa1pALXOkxuwxYHeHprsqqpU0oOs1pBdwyEuA38A09vdgyrpRw4mBvLbOEbpbN5y86+/27uiaSKrS4EEYiAeIG//AJ3q9S67DRoPr7WHDkYnXIGUui8/gGW8rWFXTOSMEwBJMCThvv4kx1DLNddFIxehzsekupPluF2JuHDGUic+jepoP0naNa9rSyLui5sem18PeezoImb0OXUqaWASGtJgkCIvDSJvfNw7Fk+tpIBAZJkw6BESRxzy+LLpImb0NCtV0iWYWCC1pd0GeVefjp3V6DpNeoQSBgkDzYmxnfuIHeumiZtKoc+m7SOWCAOS7Da4MDDeeJd3KsVNLEQ0Ok7xcDE62fDD3rqImb0OfWq6SKjwxjSwRh6ZgTnuJJPQ3vrNXSg4EskAOkADO0b7339a6iJm9DlsqaUDds8o5gZYrDOwwnPoC3dDNTD/ABYxTmBE2ByvvJHYr0UmbEoiKAiIg0KX1tXrCvVFL62r1hXoPGpUSVkGqS3ohcj0n5H/AMuofn/vcuppf1bvjeuX8j/5dQ/P/e5dTS/q3fG9dDbp+aOoLNYU/NHUFmgIiglBKLA1BxUhwKA5gMSAYMiRkeKrbotMEkMbJM5DPI+xTUqhtyQB0qDWEgSJMwOMZoJ+bsiMDYiIwjLgsjTbcYRfO2ajHussX1g0SSLfugzFNosGjOct/FQKLQIDWxAEQMhkmIpiKCRSbIOESMjGW79lDqLDm1p6wFiyuHAEEQUFYEkSJFygydQYZljTIANhkMlOzbzR3dqwZWDgC0gggHsOSPrBvnECbXQGaLTa5zg0S4AHpA3RwQ6NTMSxvJMi2UCAj64aWgkAuMDpOf7IawBguEkExvgZlWxPzZm02mHlxE9CyFJoiGgRlbtWIf0hYiuC4tBGIXIUsZDR2X5DeUZNsyp2LOa298godVgSSAFidIFuULkgdMZ+xXVFmzbIOESJgxlOajYs5rc5yGeU9arGlNjFibEEz0DM9V1mKk7woqdi2ZwieMD43IKDBHIbbKwtv/cqG1ZmCLWPdP7hTiKCH6OwiC0ZRaxgiLEXCy2bYAgWytl8QFGIpiKCRSaMmjuUGi0yMLYMzYXnNMRTEUGL9GY5zXFoJbIHAT0ZLI0m35Lb3Nhe0exMRTEUsSGNmYE5zCCm0ZNAz3cc1GIpiKCWsAyAHZ8cAslhiKYigzRYYimIoM0WGIpiKDNFhiKYigzRYYimIoM0WGIpiKDNFhiKYigzRYYimIoM0WGIpiKDNFhiKzBsg0aX1tXrCvVFL62r1hXoPHQDwUEHes6TS7FBHJaXGSBYZxOZ6M1nX0V1OS4sMODeS9rrkYt26N+U2XKvQ/kh/LqH5/73LqaX9W743rl/JD+XUPz/AN7l1NL+rd8b10jbp+aOoLNUU67MI5bchvCy+cM57e8ILVi4SCOIWHzhnPb3hPnDOe3vCAaUzJ3Rl3qRT/bwUfOGc9veE+cM57e8INbT6THYS92GHCMrmRa++wyuqaGj0qZYGvBdJwglt4aGkf8AqJKt0sUqhaTUiD90i+RgzPAKujRpU4w1LtM3Lb8kNAmMoaOmyC11MbUPkB+GMOLMXz7zuVbtCBdUe50F4i0Ws0ZkX8xZ4ml4qYxIEBuIYb5nKZ/wpqPp1AWPcNxMOt32QXtJ3xHEHNU0qTKRgWNQntME+wFTipkBuIQ2PvRllfelVzHFp2gBa7EII4EewlVWpX0WkQC6tyWh5iRkcU23xJ7liNAotwjaRYEeb90kz1XPQnk2hDgarjiEElzZyjgszolISdq7eTBbckkk2HSbZdCiLNG0EUiHMcXQwMAJAEAATYf0jvK2CGVLHC4tIkZ4TmFXozmMY1gc3C1oAJcJgCBIgLJtWk3EQWgm5jMx7VYIRip1SHNIdsnnqnCQRP5t3BVODK0PxtEse0FrgZa6JIPRCtY9rLNc0guJMu4mT7VrP0Ok4NBquhrS0DE3Igt4Zw7wGagspaI2lyw4uwg2PSbmwJ6FbRBM1GkOFQAidwi0GJjM9pVTsGA0tpZ0y4ETcyZtAmSFaKo83aC0cqRJ7Ii/QgwrMZUcAX8prhYQYnd/6m+eaxomlLeWHHG8NtvN3DsnNG0aYcSKubgc27iTGWXKPSs6T6Ugh/mlxvbzjJz611blWWUsLW4uSaTmDkm4zkGImGlHauDnY9o6YAERGbTYfkHeehG02NwxWu1mBo5JHXx3Cb7grqdem1rWh1g23UB7Vy6Z0KGCbzZo7GiFaqvnLOcPj/pSNIYfvN70FiLDbM57e8Jtmc9veEGaLDbM57e8Jtmc9veEGaLDbM57e8KNuznt7wgsRV7dnPb3hNuznt7wgsRV7dnPb3hNuznt7wgsRV7dnPb3hNuznt7wgsRYbZnOb3hRt2c5veEFiKvbs57e8Jt2c9veEFiLDbM57e8KNuznt7wgsRYbZnPb3hNsznt7wgzRYbZnPb3hRt2c9veEFiKvbs57e8Jt2c9veEFiKvbM57e8Jt2c9veEFizbkFRt2c9veFm2uyPPb3hBrUvravWFetegQalUi4kLYQeP6M8N2mIxipuaOSHSTEC/m/iFwtnTK7Xh2F0zUDh/Cay2ACbZXthy35rh/OH8fAJ85fzvYoPWfkh/LqH5/wC9y6WmVsDRycQJgj/jevJtD+VGm0KbaVKthY2YGBhzMm5E5lX/AEz1j6R+nT91UekO0lgtsTMwLC9pVlF7HtJ2YbysMuFuvqXmf0z1j6R+nT91D8s9Y+kfp0/dQekV3Bri0BhjfC2aFNr2glgHYvLPpfp/+8P/ABU/dWX0z1j6R+nT91B6hWpgFobTBBN7dI7rEnsjeuN8odYP0d4FJtLzA6HNkmSQYuMoXxH0z1j6R+nT91YO+V+nuzrA9dKkf/lB6hQaHUqLsDSXhpdbi2THaqNZ1dkWBtNt95Ez0C4v39S84Hyy1j6R+nT91T9M9Y+kfp0/dQeqCi2JwCYyWrQLi4B1IRvOAjd275ErzX6Z6x9I/Tp+6n0z1j6R+nT91B6O6o8OP+mkDoMm/H/tbWkUmtaS1gJkWjpE5XyleXfTPWPpH6dP3U+mesfSP06fuoPSQ82nRwJPSY64Cl1QYGkUJcc2b29a81+mesfSP06fup9M9Y+kfp0/dQemsEziohsOaOIMugx8cFQ6o8E/6eQOAN72+L9i85+mesfSP06fup9M9Y+kfp0/dQeq/N2c0dybBnNHcvKvpnrH0j9On7qfTPWPpH6dP3UHquwZzR3JsGc0dy8q+mesfSP06fup9M9Y+kfp0/dQeq7BnNHctOo5zXOGwxCQBDSO8rzb6Z6x9I/Tp+6n0z1j6R+nT91B6PUr4RJ0cRunjuGXZ1q2oYdAoA3Im/Zuj442Xmf0z1j6R+nT91PpnrH0j9On7qD0fbO9GuACQJOYmMvjgm1dH2aD2x0bl5x9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7k+bs5o7l5V9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7k+bs5o7l5V9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7lo43hxB0cEAkWBE3MR2R28F5x9M9Y+kfp0/dT6Z6x9I/Tp+6g9L0Ylxh1DDneDBuYzHDj/hYY3AfUYjb7pb1jfl47t683+mesfSP06fup9M9Y+kfp0/dQekue4T/ppgxYm/TlksqZLntBoBoJMm+UGN1rgd+9eafTPWPpH6dP3U+mesfSP06fuoPTtMaGMxNY3O8jKx6t8DtU6G1r2YixvQQM/gyOxeYfTPWPpH6dP3U+mesfSP06fuoPTiBiIFIHlATBFjF5iDme5HM5Lv4YxB3NJ5OKJjfa8LzH6Z6x9I/Tp+6n0z1j6R+nT91B6WyTI2IEMJkgiXbhG7xz6Cth1FuEkMExMRvheWfTPWPpH6dP3U+mesfSP06fuoPRnVS1oLqLTIzgi/CCJ6FlSc4kA0ALiTB3mJHVmvN/pnrH0j9On7qfTPWPpH6dP3UHpBc7EYoAtvG64J333RuzBTG6/wDpso7csrdPgvN/pnrH0j9On7qfTPWPpH6dP3UHpJqG/wDp4gEyZjsEXW1VotDSW0w4gWHEryz6Z6x9I/Tp+6n0z1j6R+nT91B6ZLZp8htxy7ebbInIX4qrE7EYpNLcQghpuJO/LhfJecfTPWPpH6dP3U+mesfSP06fuoPSqs4iKbGEcmDhJzMG+VgmkSAMFNjzhOIAE8qLDoE8brzX6Z6x9I/Tp+6n0z1j6R+nT91B6a0NtiYwHE4OHBomD4Nv0qt74FV2xBDYLLecN9xPAnqIzXm30z1j6R+nT91PpnrH0j9On7qD0pukPAdgoRFjnnYi0T97rzW9TcS0EiCRccF5P9M9Y+kfp0/dT6Z6x9I/Tp+6g4KIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIP/2Q==\n",
+ "text/html": [
+ "\n",
+ " <iframe\n",
+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/Nu86DjtFKQk\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f66c54eecd0>"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"YouTubeVideo('Nu86DjtFKQk')"
]
@@ -795,13 +1061,29 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle - Z - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
+ ],
+ "text/plain": [
+ " _______\n",
+ " ╱ 2 \n",
+ "-Z - τ_Y + ╲╱ \\tau "
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"Z = sp.symbols('Z')\n",
"# X = sp.symbols('X') # prepared for kinematic hardening\n",
@@ -830,13 +1112,27 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{Z} : K \\dot{z}, \\ \\dot{\\tau} : E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)\\right\\}$"
+ ],
+ "text/plain": [
+ "{\\dot{Z}: K⋅\\dot{z}, \\dot{\\tau}: E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})}"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"K = sp.symbols(r'K', positive=True )\n",
"z = sp.symbols(r'z')\n",
@@ -890,13 +1186,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}, \\ \\dot{z} : \\lambda\\right\\}$"
+ ],
+ "text/plain": [
+ "⎧ _______ ⎫\n",
+ "⎪ ╱ 2 ⎪\n",
+ "⎨ \\lambda⋅╲╱ \\tau ⎬\n",
+ "⎪\\dot{s}__\\mathrm{pl}: ──────────────────, \\dot{z}: \\lambda⎪\n",
+ "⎩ \\tau ⎭"
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_s_pl_ = lambda_ * f_tau_Z_.diff(tau)\n",
"dot_z_ = - lambda_ * f_tau_Z_.diff(Z)\n",
@@ -926,13 +1240,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right) \\sqrt{\\tau^{2}} - K \\dot{z} \\tau}{\\tau}\\right\\}$"
+ ],
+ "text/plain": [
+ "⎧ _______ ⎫\n",
+ "⎪ ╱ 2 ⎪\n",
+ "⎨ E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})⋅╲╱ \\tau - K⋅\\dot{z}⋅\\tau⎬\n",
+ "⎪\\dot{f}: ────────────────────────────────────────────────────────────────⎪\n",
+ "⎩ \\tau ⎭"
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_f = sp.symbols(r'\\dot{f}')\n",
"dot_f_tau_Z_ = f_tau_Z_.diff(tau) * dot_tau_ + f_tau_Z_.diff(Z) * dot_Z_ # + + f_tau_Z_.diff(X) * dot_X_ \n",
@@ -953,13 +1285,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau} - E_{b} \\lambda - K \\lambda\\right\\}$"
+ ],
+ "text/plain": [
+ "⎧ _______ ⎫\n",
+ "⎪ ╱ 2 ⎪\n",
+ "⎨ E_b⋅\\dot{s}⋅╲╱ \\tau ⎬\n",
+ "⎪\\dot{f}: ────────────────────── - E_b⋅\\lambda - K⋅\\lambda⎪\n",
+ "⎩ \\tau ⎭"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_f_lambda_ = dot_f_tau_Z_.subs(dot_s_pl, dot_s_pl_).subs(dot_z, dot_z_) # .subs(dot_alpha, dot_alpha_)\n",
"{dot_f : sp.simplify(dot_f_lambda_)}"
@@ -978,13 +1328,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 21,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}$"
+ ],
+ "text/plain": [
+ " _______\n",
+ " ╱ 2 \n",
+ "E_b⋅\\dot{s}⋅╲╱ \\tau \n",
+ "──────────────────────\n",
+ " \\tau⋅(E_b + K) "
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"lambda_solved = sp.solve(dot_f_lambda_, lambda_)[0] # the solution is returned as a list with one entry, therefore [0] \n",
"sp.simplify(lambda_solved) "
@@ -1011,13 +1379,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 22,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{E_{b} \\dot{s}}{E_{b} + K}, \\ \\dot{z} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}\\right\\}$"
+ ],
+ "text/plain": [
+ "⎧ _______⎫\n",
+ "⎪ ╱ 2 ⎪\n",
+ "⎨ E_b⋅\\dot{s} E_b⋅\\dot{s}⋅╲╱ \\tau ⎬\n",
+ "⎪\\dot{s}__\\mathrm{pl}: ───────────, \\dot{z}: ──────────────────────⎪\n",
+ "⎩ E_b + K \\tau⋅(E_b + K) ⎭"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_s_pl_solved = dot_s_pl_.subs(lambda_, lambda_solved)\n",
"dot_z_solved = dot_z_.subs(lambda_, lambda_solved)\n",
@@ -1037,9 +1423,25 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 23,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/latex": [
+ "$\\displaystyle \\left\\{ \\dot{\\tau} : \\frac{E_{b} K \\dot{s}}{E_{b} + K}\\right\\}$"
+ ],
+ "text/plain": [
+ "⎧ E_b⋅K⋅\\dot{s}⎫\n",
+ "⎨\\dot{\\tau}: ─────────────⎬\n",
+ "⎩ E_b + K ⎭"
+ ]
+ },
+ "execution_count": 23,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"dot_tau_solved = dot_tau_.subs(dot_s_pl, dot_s_pl_solved)\n",
"{dot_tau: sp.simplify(dot_tau_solved)}"
@@ -1081,9 +1483,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 24,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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PKP8AEbqwsoorCLKICIiAiLCDKLCygIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICwsrCCjS97V7Qp1BS97V7Qp0BQ1feUu0rTSNOpUnNbUqNaXZAntudwtmt6vvKXaUF5ERAREQEREBERAUFb26X4j/AElTqCt7dL8R/pKCdEWEHP1p9o6lo/8AqOxPzHIZBOW84RG4ldBc/V/2lWtX2TwTM/ZYTJg73l3aAF0FUQ6YJpOETbINDvkbFTKDTRNJ4ibZFpd8hcqwooiIgIiICIiAiIgLCyiDCLKICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAsLKwgo0ve1e0KdV6XvavaFOg5etdT+kukvDYbDeSM5zJ2iNiucGGOoNBJAMXMnLeVZUNX3lLtKC8iIgIiICIiAiIgKCt7dL8R/pKnUFb26X4j/SUE6qazrup0XFnvHQxlieU4wMtkmfgrSoPHC6W0fdoNxHP23CB3Nn+IKwWtF0dtKkym32WNDRPUplhZUFfTvdPmMtsj+m/cp1DpropPMxbPFg/3bFMgyiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgLCysIKNL3tXtCmUNL3tXtCnQFDV95S7SplDV95S7SgvIiICIiAiIgIiICgre3S/Ef6Sp1BW9ul+I/0lBJVqBjXOcYa0EnsCq6qpEUsbxD6pNR3UXZD4CB8FprP7Q0qH+o6X5+wyCe84R8Sr6qCysLKioNMMUnRItsIHzNlModMBNJ0AkxsAPyNipkGUREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBYWVhBRpe9q9oU6gpe9q9oU6AoavvKXaVMoavvKXaUF5ERAREQEREBERAUFb26X4j/AElTLn65rupsYWe8c7AyxPKcCBIGwEyeoFBnQPtK1avsngmZ+ywmT8XT2gBX1FomjtpUmU2+yxoaPgpkBERBBprZpPETbLDi/wBu1TKDTo4J8xEbZ/437lOgyiwiDKLCIMosIgyiwiDKLCIMosLKAiLCDKKnrTWNPRKDq9WcDSJgSbkDL4qLV2vdF0qOBrscebMO/hN0HRREQEREBERAREQEREBERAREQEREBERAREQEREBYWUQUKXvavaFOoKXvavaFOgKGr7yl2lTKGr7yl2lBeREQEREBERAWCJELKIIPRW73/mP/AFVfSNCYX0ZxGHkiXuscLhIv1q+oK3t0vxH+koHord7/AMx/6p6K3e/8x/6qZEEPord7/wAx/wCqeit3v/Mf+qnRBAdEadr/AMx/6rDtGYASS4AZk1HfqrCo62YX0uDh2F5hzmGCwZ4gIM3AERtQSU6NN4lrnOHVUcf7rf0Vu9/5j/1XNoVauj0nPe3hXPqtaHEBjnglrGlwAz+AsNiuUNOxCpiYeQ/ByQXTYXAiYkkdoKCb0Vu9/wCY/wDVPRW73/mP/VQaFpuMuBbU9twBLHAAA74WmrqjjW0trnOcGVWhs7AabDA+JKC16K3e/wDMf+qeit3v/Mf+qnRBB6K3e/8AMf8Aqnord7/zH/qp0QQeit3v/Mf+qeit3v8AzH/qp0QQeit3v/Mf+qeit3v/ADH/AKqdEEHord7/AMx/6p6K3e/8x/6qdcTXWkVA5zqUPbRYeEpy5hl0FrmOiHOABt1hBn9otSnStDqUaToe4tgve4gQ4E79gXF1b/8ATqhTh2kVX1Xbm8hv6/ML2NIQ1oJJgC5zPb1rdBFo9BtNgYwENbYSSfmbqVEQEREBERAREQEREBERAREQEREBERAREQEREBERBQpe9q9oU6gpe9q9oU6AoavvKXaVMoavvKXaUF5ERAREQEREBERAWrmAkE5jL+S2RAREQEREBERBo+mHRIBgyJ2HesU6LWklrQMRkwMzn/MnvUiII6VINmNpLviVrS0ZjHOc1oDnXcRt7d+QUywgyiw1wIBBkHIhZQEREBERARYRBlaOpNJDi0EjIxcfFbogIiICIiAiIgIiICIiAiIgIiICLCAgiRcFBlERAREQEREBERAREQUKXvavaFOoKXvavaFOgKGr7yl2lTKGr7yl2lBeREQEREBERBSr16rahDWYmwDkd8EA77/JVm6wryfsXOzI5Dm/dBi4tebnPYrtfTqdMkOJBAk2OVr9l1p6yp4S4mBiw/GYHegio6ZUc9oewtbt5Dr7AZyF9mfwWHabVa4twSMeEEtIiTDb5OHZkAVYZp9NwcWmcIBNiM8lHU1jT4PhA1zg392D7GKb/u/zQRaVplZjntaxzrnCQwmOS2L5HlE9yHTawBPBG2YII2tEAx1kztw7srLNPplwbeSSBY5ixB+K19YsvIcIJBkbi4f8Sgh9LqvpscwCS8tMMdkJvGYy2relplUueDSIwsJBggEgD+cm2YjbK2GnswBzQS0uDWwM5biy7EbrSiRiDiRnIB6vMEFcafWt9k7lED3brCYJP8+wfFSaLplZzHF1IgtYD7JbiMXA7flkVIzWVMnaN1jlJGLskZ9a3bp9MsxyYkC7SLkAi3YR/wBoKx06sXYRScLTJa63JmJyJ2dqwNOrGpHBODRvY694idmRM5XUzdaUjblYubhJPy7QrjHBwDgZBEg9RQcujp9fC3FRdPJB5Bm4ud2zqiVLp75cWvkU2wZDTJJBkDsF7f2XQSEFdzxTpua2SWN5hd2WHtZZBR+lONN4bes1k+wQJiRyTf4K4oGaI1tZ9YTieAHf+OX80FU6XWBjg5zvhdsLhO77oMfvdV81NIr8C4hsPBEQ0mQYmy6Cygo0dKqmqGOp2vLgDG39BbrUDdYVgADSeTDZOB26/Vn2RfNdREHOraVWbTZDJe5rphjrOGVt3xvsWrdYVcYaaREk5tdJggW75xZLqLCDn19OqNe4Ck4gEXwOMjbGw/L4qSppVThHsawwGEtdhMSA2BO32j/D3XEQc5ulVgGywnlYScJnM3gWAsO9DplZrKX2Zc51PE44XAYouIuQukiDlDTa9zwZ2wCxwya0/MyB/dbVNNrYg0UznBOBxHtxIP4R8100QUKemVHUKjsBbUDSWtLTutbM3t1x1rRul1w6m00ycRu7CRAkZ7jcn4R1rorKDm1tNqhzw2mXYDhsCZJgzG2GuB7wsUNLrOqU2uYWgmXck5Q60xAghvWZXSAAyCyg5dLTK8Bppkvi7ixwGTT/AMnCJ+6su0ysYIpnO7cLpzFsREZSZ6+qV00QUaGlVXPaDThptOFw514OXsgX53ZODWeXkz9nwgYI3RJM9buSr61DQBAAA3IKlPTtlQEEk4QGu9kXBO24H+QpW6W07DENOR++SBbPYp4QAIOdpb8Tw2pLWCoMJDTyiQRE7L/23qw9/B0i1kywBt2Odu2DP4KzCIKbtLkANkva5gdySAcRg2O4SeqFpV02o10cG48uLMcbSbzlleQr8Ig550utwJcacPkZNcYlodlmbnCoxpmkEwKThBi7Te8XMZbZ6+qV1FlBzWadWcQBRIBgjE11gXC56wDcbISrp9UPe1tPEGmJDXGLA7BeZi2W1dJYQcutpteHYabhGL7hMxERvPXl25qYaZV4RreCOEuLSYOyL9QvI3wr6ICIiChS97V7Qp1BS97V7Qp0BQ1feUu0qZQ1feUu0oLyIiAiIgIiIIqmjMeSXMaSQBJGwZD5laehUv8ATblGXxUGl6zFGpgdTqEYS7EMJECBlinMjYpaOsKNR2BjwXRii8x+txbO6CRujUxMMaJABtsGSHRqeHDgbh3R1R/KyrHW1IOwuD2ugEBzCJnFA7eQ4p62pEhrcTnn7oFxLXOGdsmn4oLPotOQcDZBmY2kzPfdDotMzLG3M5bbme2SVDX1jTpAcJLXFhfgiXQ0SclodcaOJmqBGYg2sTe2zC6d2E7kFkaLTDQ0MbhFwIytH8lj0SnEYGx2f5uCiqazpMe5j3YS2MxYyJgHaerNY9baPAPCgg7gTsB2DcZ7JOwoJhodIR9m22VtyydFpluEsbh3RuEfyt2KrW1zo7GPdjnBMgAkmMUxv9h18rFbV9bUqdTA/EDaThMCQ4zPY09iCV+gUnZsbnOX+f4BuU7GhogCAq41jRLXuDwQww6ATBy+KidrigDGMxE4gCR8Dtz2IL6Kj63oSBjzIAsbklwiM/uFa1NcUREEuBOGWibhzW5Zm7xlKDoIqVHWtF7g0PEuMN/etMjqIy7Cset6ONzcXsxJgxcuFuoYDJy60F5FSGtqBnl5TPJdsjK180pa1ovcGh+ZAbaQZAIMjKZGaC6ih4f7TgwDIbiJ3AyB25FKekhz3NaCcNnHYDuQTIqTNYshxcC1oGKc5BcWiw7PmFmnrSg7Kp8iNrRu3vb3oLiKizW1F4lhLxgNQEAwQ2JgntC2pazovLGh4xPyaQQd8EbLd6C4iqDWVEuw4xiDi0iDYiJ2ZXF8rhYOtKAEl8CJuDle5taYMb9iC4ioeudHiTUiM5a796dmzA6d2Erc60oYsPCXxYYg526sri+SC4ioDXOjx7fKwh2HM3AOQzsRllK3Os6IwYn4S9ocGnOHAkf0nuQXEXNo67ovc1vKGLaRaSGECf8A8rb5K16YzE9oJL6YlzQDPw3oLCKm7WlFpIc/CQ4NIIIgkSB3XWrNbUCwPLiAdhaQbxaI6x3oLyKo3WNEte4PsyMVjtMC0XuCPgVqNbUCAeEsTAsReAd3WO9BdRUTrehE45tlBHfItNonORvQ630cAk1Iw52PXOy8YXZbigvIqztMa1jnvDmNacyJnrESohrehteBnnuEmZ2AhriN8FBeRc+trmgxpOIuwgkgNMiMWYO3kOEZ2Q65oAEueWYSQcQOzFfs5Dj1ReEHQRUa+taTGNfynNdiiGn7syDuNiFipreg2OUSTEANM3cGZRsJE7kF9FRq62osqOY8lpbMmJFsG7b9o2yy7W1ACcci4EAmSBMAxCC6iot1vQiS7D+IdRP8mnuWaWtaL3FodtAH704cvi9oQXUWEQUaXvavaFOoKXvavaFOgKGr7yl2lTKGr7yl2lBeRYWUBERAREQQ1dGY8y5smMPwkGO8BaUNDpMcXsaA42JBN73+Kq6fqo1nFwquYTGU5AOEZ73AzvaFAdROgtbXwsOIwGkZ8JtDv/k727EHTq6HTe8Pc0FwtN9zh/J7u8qKhq+gx+JjQHtOwkwYOybWee9Uquo3GcNdzZdiyJjlPItiiweB/wCIO6JNI1S59WpUbVw44thJyDRB5UEcndtzQXNJ0WlULTUAJEhsneN20xKgfqfR3EDDkcRAJvIcL9RxGd8mZuqnqJ5YGnSCXDDy8JklrMN5dcbfiRN5U+mapNSo57amAuDQYafuhwmQRflW3EbUFqtq+i9xc5kuOdzsyOdj15qP1TRJcS2cWEZxAaCBBF8ie2YUOlaqdVrGoaxDDEsg3AcwxM/ukZfeK1q6oqOZRb6Q4GnTwFwBlxwluKcVs525ILDtV6M8EYGkSQYJ2l0ix3vdI6ypH6FRqS4tDpGEmTkA4Rbqc4fFcsfs86D9uQTMYQ4ATwmQxbDUaf8AwHwlq6ke4uiuQHAiIPPxD73wjIzeUFw6Lo+F7IbhnG8YsiDM58mCEbqqgMqYiIFzERFrqlU1E5xJNfNuEktM5Ec6LzcR3ZqanqpwZWbwzjwhkEg8m5MRN842WACCd+raDsUsBkjFc7JMG/7xt1rV+rdHgvLQPvF2IjmmcU29hvcqbdQuBB4fMhz+RdxDWNM32hh/iK3o6kLaVama0ipS4McmzeThmJv1BBepauosc1zaYaW5RI2Rl2LT1XQk8gSbm567ROXKNsrqsNUPDy7hiRjxQQ6M3Gfa9rlROXJFlAP2ffmdIl174Nh4Mx7WU0yTvxd4dB2rqB5JYJziTNiL57wFtR1bRZGGmBERc/diO6AqtPVDgapNZxL6ZYHQcQnbim5GywyCaPqhzKrKhrE4T7IBAj7TkgYjA+0G/wBgfAL9JrQ55DsTjnlYZAdmfzWBQAfwhcSQDnhsO2Jj4rmeoYnDVwEz7LYsTUMRO+oP4e6Wtqx54BoqGGBweb3ESLTscGnsBG1Bc9Hpbm8sjbnBLrfGT3qMau0d0ODAYNiCdhFs97RbqVL1E+59IcTMiQbWcI9r9+NhgAdal9UODKLBVw8G4uJDTeXTETbdN0FlugUKQc7CGgh2IlxydEySf3R3Lajq6ixwc1kObkZJPxk3+OS57NROiKlbHYD2SBYUxMFxv9n/ALitqepqgdJ0gnlE5ERIbccrPk5/vG10Fxmq6DTIp3mczt2Z5WFsrDch1XQIgskRhuTlexveJMbtizq7RHUWYHVMY3wReTO02yt277W0FCtqig9wJbkSSATypxyD1faO71u3VdAEkUxJ6ztM77XCuIgpeqqF/s4mMiRkIG3cIW9TV1FxYXUwTTADTuggj5tCtIgps1XQbEUwIjadmGP/ANbP4QpaeiU2VHVGth7szJv8FOiCtU0Gk44nMBOLHMnMACe4ALT1XQkHBlEXOwyLT1DuCuIgrjQqQmGC8TnscXD5kn4qF+qKDh7ERkQTbLyjuV5EHPbqagI5JIDYgk36zvOXZAjJNK1NRqMwQWi92m98U3M543d66CIIq+jMqMwPEttaSMsslTfqWgXtdhMARh2GzhfabPdt2roogp+rKEEcGDOckmfazvf23d6P1ZQcINMEGRcnbin+t3eriIKz9BpOAaWWBc7M5umT8ZK0Oq6GIu4O5vMnOcU55yAfgriIKtbV1F5LnMkm5Mkc3cf3G9yw7VtExNMckki52kE/MBW0QUzquhaaYMAgSSbOib/ALHqyljpvAg03Yh1nDhkz1K6iAodMcRSqEGCGGD8FMtKjA5paciIPxQc3V7iZJMktaSfgrqraMwNe9oybAHYArKAoavvKXaVMoavvKXaUF1ZWFlAREQEREBFy9Ya34Co5kU+TTD+VUwl0lwwtGEyeT8wp62tKTMXtEtzAY4zcAgGIJE3AyQXUVWprCk0AlxvMclxycGG0c5wCzQ0+nUeWNJxCc2uHsmHQSIMGxhBZRUW62ol2HE6Zw+7eBOLDnERNpyWXa0oiZLpBAjg3yZmIESRyTcbkF1FSGtKJIAcZP7joE5AuiAeo3m2aN1pRyLoIEnkuj2Q6A6IJgzGfUguoq1PTqbmOeCYa7CZa4EG1oInaEOn0w8MklxMQGuMXi5AsJOZQWUVClrai4Nl0EtBJwuwiWY/aIA9m94KlpafSc17w4gU/bxNc0iwOTgDkQUFpFzaeuKZc8GWtaYu14cbU/uYZzqARnlEzac6ypDNzhycXsOsIJvaxsbG6C2iov1rRAN3EgExgdsBMTGcCYzUlHT6b3BoJDiJgtcNkxJETGzNBaRVHaypAuBceTY8hxkyBDTHKMkCBJlYGtKJLQHGXR9x1pcWgOtyTiBEGLoLiKj60pYQ8O5F5cWuFg0ultuUIGeSydaUwYOMDDik03j72GIiZnYguoqTda0C4NDjJj7joEuLQHGIacTSIMXELLdaUSC7GQAC6S1wkATIkXESQRnBjJBcRQVdLYwtDiZdlDXH4mByRfMwovWlGCcTswPYfeci23KFsxIQXEVCpramMOGXFxb91wAxHaYgHbBusU9bUzM2DczDr2YeTble8A35Wug6CKn60o8nlO5X7j7Xw8q3Jva8K4gIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICwsogoUve1e0KdQUve1e0KdAUNX3lLtKmUNX3lLtKC6srCygIiICIiCtW0NjzVJn7WmKbr/dGLLr5ZUB1RTl5BcC+bjDYkyXTGc75HUrb9IY12Eug/rl3wt8Q3oKfqtmLEXPMGQJEDlh5i3OaFLR0JjHBwmRji/8AqODnfMKfEM5CYxv6kFUauZES7Zt3Px/zVf1K1paWPe0ggk2mBijZcy7MzO2V0sY3jetRWaRIcCIlBRp6paHOl7iwkHDOZH3nWzxXst6mq2GnhBMzIJO3Bg2RsV0vA2rVldjohwMiR2f4Qgq0NAilUbUcSajsRINwYAEGP3Rs+Cx6qZLSXvcWuxySLmZnK190bslcNVoJEiREjtyQVGkkSLCT2X/QoKXqinwfBiSP3r5U+DvEWwrOjavIZVbVcXmqZdfLkhtjbdOz+6tmsyCcTYbnfKBN/glSq1rXOJ5LQSdsRdBT9UslxL6hc6ZcSLzgGUR/7bbRGe9ZbqpgbhDnhpbDgDANiJNuvIWytYK8XBa8K21xf/tBUdqqkahqQZcIOV+ThmYnLrhZ0fVlOnU4QEl3XhziC6QJkj4dStCq0kgOFrHt3LFSs1oLnOAA2koKztWtOLl1ACcQAdZri7FiAjPEJvO3eUZq2m2buJJaSScy15fPxc4q2HA5FMYmJ/woKLdUUxJxPkmZkDYRsFzDjc3NpJWPU1LCGy6B+HPEHTERYjKIuZBV1lZrohwMjEOzf8wtsY3jfmgpt1XTAi8cicvuPLxs3k/RR1NVAtpsDnFrXNPKcbNbMNAG8GDNyDeVedXY0wXAH9VkVBEyP+0EVbRQ94fic0gQcJjEJmD9FFS1axpBlxwxhBIhoGTRbK/bkrk3jagMoKXqtloc8CQ4gEQSMibLHqmnvfsi4sRggi2f2bSrdKq14lpkTE7+zetmvBmCDBgwdo2IKrdWsAMlxLhckiTysU5b1cUNLSWPcWtMkT8iQY7CIW3DNicQiYz2zEd9kEiLGIb1q6q0AkuAAzmyDdFriG8LDKjXAOBBBEg9qDdFriGchYNVoOEkSBPw/wACDdFriG8LHCNmJEoN0WnCNkCRJy61nGN470GyLXGN4WOEExIQboo31WjNw/y/9ltiG8INkWjqrQQCRJMAbzBMdwKMqtdkQf8Aqf5EIN0WnCNmJE7uxZxjeN+aDZFgEb1lAREQUKXvavaFOoKXvavaFOgKGr7yl2lTKGr7yl2lBdWVhZQEREBERBU0jQRUJONzQ6CQIzH6ixULtUMJnE7MnPfBjskT8Ss6ZT0hz/szDLRMRIcDO/YRCjc3SRysRwgZQ0n705Nz9mIsgmqasY6mKYJaA7EIjdCO1Yw0nU5IDomI2CJUZpV3tpHG9pg4sgfaaRIiJgHZtRo0kMfjdLjhwhoFr3j4RmM5QbP1SwunEReQLR7RdlukrVupqYbAJmImBOQG7cFpwelA2dnJPsn7oA7CCJtY3QUtKmcRvnds5NAi0C4JPaYlBJ6oZM4nZk7NoiMupanUtMtguda1oGyLwL2UtenpBeSx8Nmw5Mfc6p5/yUD6WklwfJGXJkbJmQgtVdAa5+MkzAGzYQZ+Sjo6saxr24nEPABmLQq7KWlRixGYbnhnbisIE3MfCVbYysKTg4h1Q2ExAsATA2ZmEELtTsIAxusI2c0N3bgpG6tYGPZidDzJvBzmJ71is2uGUhTsQBjy6rX6py/60e3ShOF2K23CJOExFt9zPw3ILFXQg9tMOcTg225XUbZSAbbgoBqhl4c6/ZvJ3byVrVo6STGMlszbCCOVll7OEdsrNShpGOo5jyJ9kEgjI7I2GEGWanYBGImwFwNgInLPlFYpaqApPpud7TpkAZBobuuYHzWatLSCxkP5YmTYfeESB1ZwtDT0vDIfLt0NHOz/ANozQT0tWsZVFQEyJtsuXHL/AMioKep24W4nGQdhttgdcAgfALHA6UA4Nde+EktP3QL235fNT1GV8LAHScRxHk3bNtlrbh+qDDNVsaHDEYcwsyEwYvMXy2oNVMxSTN5iGxNurLkiyr8FpduURERdp+64Gd+bTfarLqdY8ATDsMl+wzkOrImexBGzU7AQcTrRFhsJN7XuU9TU8OEkkRAsOa4Tlc8o9i6IPVCygrVtFx+04zhcwxazo+dglLRzSpllMybxi3kkk/NWUQVtG0Y0yAD9mGBgH4dvz+S2bowFQ1CSXZboG6Bn8ZU6IKtLQwx2JpOZsdziXEd5+SibqpgeX4nTOK/aD/xCvLKCg7VjS7Fjd7WIC1uU527e4rNXVbHve8ky7stZw/5fJXkQc86pZa5ERsGYjqytl8c1q3VDQGjG6GCGghp2QbRBXSRBRGq2Cm6mHOhzpJm9v+ll+rmOLS4k4Q0QYvhMq6iDmHUrIIxv2fIEf3Wz9UsIAxECCIgbRGKdhie8rorCClQ1a2m8ODjInONvXn8FWdqQQ4B9i2BIB3jdlfJdZEFEaqYNpmZJgb5jK18tywzVFMRcmIzA3k7usroIg5vqZnOdYYdmUBu7ct2aqYHB0kkGRYbC07s+QL5q+iCmzV7RU4STOLFkNuLqv7ZWtHVjWPa8OMt7OaG/2V5EFD1WyMzMQDDZGW2Lm2ZWnqhobyTLpkExvcYNspcV0kQUdA1a2icUkuwgHdkBYbPZCvIiAiIgoUve1e0KdQUve1e0KdAUNX3lLtKmUFYgPpkmBJQXllRekM57e8J6Qznt7wglRRekM57e8J6Qznt7wglRRekM57e8J6Qznt7wglWFH6Qznt7wnpDOe3vCCVFF6Qznt7wnpDOe3vCCVFF6Qznt7wnpDOe3vCCVFF6Qznt7wnpDOe3vCCRZUXpDOe3vCekM57e8IJUUXpDOe3vCekM57e8IJUUXpDOe3vCekM57e8IJUUXpDOe3vCekM57e8IJUUXpDOe3vCekM57e8IJUUXpDOe3vCw7SWAEhwJ3Bwv3lBI14JIBBIsepbLmUC6m0Na6n7BJ5QvUcZJ7JnvVijX5RxvZGFuRHtS6f7ILSxjE4ZGKJjbG9U6DWscSa2K2RcT/MqNjyHF4cwF9QFwLhZgbhjvv8AEoOiqmnPqYmBgtIJdeIxCRu9mTfqWKwa6oxwrQG7AW/os6VpTWiQ+bxDYP8AYoNBVfgNQuPKqtDY5uMNHeLz1q654ESQJMCdpzgdyoV6wLYxzFRm0ZBzTNhl+hWNYM4WMFWk2LtLrw4EEOsRuHz3oOgHCSJEi8dv/S2VOk4Co97qrSHAANnICf1up/SGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEEqKL0hnPb3hPSGc9veEFWl72r2hTqvRINSqQZEhWEBU9J0gB4aWYrSNv/Wy6+Y8c9Y9I8On5U456x6R4dPyoPo/prP8ARMgYiMImN0b1ZaGuDbNYC3FygD8Ny+X8c9Y9I8On5Vg/tlrE56R4dPyoPowr/usP/iuiKTea3uC+UD9sdYf64/Kp+VZ456x6R4dPyoPqLWfaFpptwgWOHs2/E93WuA/W1QaY2iG0TTNXAYZymjFFzOZ7F43jnrHpHh0/KtON2nzPDNnOeCpT/Sg+r8GMZGBuGJmNs5KjwzvSeD4JuD8OyPan/N2a+c8c9Y9I8On5U456x6R4dPyoPqVdgDZaxsyPuzabmBmoKTnFriaIBDZAwxJ3f4V80456x6R4dPypxz1j0jw6flQfS9HqOc8B1AAEm8ZAdo/RSaTyIw0g+QZtttF47e5fMOOesekeHT8qcc9Y9I8On5UH0o1XCZ0cWjKTPZydi2q1IdDKIe2JxCI7LA3XzPjnrHpHh0/KnHPWPSPDp+VB9OJ5M8EA6HHDE3BA+cqOhUc54DqAAJN4yjfI/RfNeOesekeHT8qcc9Y9I8On5UH1bgWc1vcE4FnNb3BfKeOesekeHT8qcc9Y9I8On5UH1bgWc1vcE4FnNb3BfKeOesekeHT8qcc9Y9I8On5UH1bgWc1vcFrVpANcWsaSAYttXyvjnrHpHh0/KnHPWPSPDp+VB9I4V8R6PJjPDA7oWza3KLTQAOEuA327Ph2r5rxz1j0jw6flTjnrHpHh0/Kg+lcK68aODAnaP+P+dq04dxEjRwQWyDG2/V2d3WF84456x6R4dPypxz1j0jw6flQfTKDy9wDqAYIJMjb3QrXAs5re4L5Txz1j0jw6flTjnrHpHh0/Kg+rcCzmt7gnAs5re4L5Txz1j0jw6flTjnrHpHh0/Kg+rcCzmt7gnAt5re4L5Txz1j0jw6flTjnrHpHh0/Kg+paSzCwllNrnWtGdxPyVUVXxfRxM7tmzZut2zkIXzfjnrHpHh0/KnHPWPSPDp+VB9MxE02u4INJNwWFxAvsETkO9amq68aMLf5u2L5rxz1j0jw6flTjnrHpHh0/Kg+lGq6Y9GEzE7O2cKm0YY8RdSDIMAEbI7P5L5fxz1j0jw6flTjnrHpHh0/Kg+kaXULKmFrGX9kYc7fO9rZZmyuV6YDHlrGlwaSBGZiwXyvjnrHpHh0/KnHPWPSPDp+VB9PzxxSFowkj2t9ossVrO5NMFscwmTeROyIGwzNl8x456x6R4dPypxz1j0jw6flQfSy50NPBAE4iRgJiMt1/59SsGkAz2Gl4bsFpjZ8V8s456x6R4dPypxz1j0jw6flQfSHVy1oLqLTIzgtvugiepbUqjyQDQAuJMRmYkW2Zr5rxz1j0jw6flTjnrHpHh0/Kg+lGo/EYoAtvBiLgnbfZGzMFDVdf/ANNl88rC3WvmvHPWPSPDp+VOOesekeHT8qD6Sazr/wDpxYTJB+QhW61MBpLaYc4CwgXXyvjnrHpHh0/KnHPWPSPDp+VB9OxtmnyWXHL5Ps2yJyF96hL34jFJhZisQwm0nbluvkvm/HPWPSPDp+VOOesekeHT8qD6XVLsRFNjCOTBwk5m98rDrTSHEAYGMecJxANnlRl1Cd9180456x6R4dPypxz1j0jw6flQfTmkWxMYDjIcLWaMUH5Nv1qN9UgVXcCC1t2W9obbid09hGa+a8c9Y9I8On5U456x6R4dPyoPpQ0l4xYKERY552OQE7e3OyvU3EtBIgkZbl8n456x6R4dPypxz1j0jw6flQcFERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREH/9k=\n",
+ "text/html": [
+ "\n",
+ " <iframe\n",
+ " width=\"400\"\n",
+ " height=\"300\"\n",
+ " src=\"https://www.youtube.com/embed/hfP8hcqWfbg\"\n",
+ " frameborder=\"0\"\n",
+ " allowfullscreen\n",
+ " \n",
+ " ></iframe>\n",
+ " "
+ ],
+ "text/plain": [
+ "<IPython.lib.display.YouTubeVideo at 0x7f68f152dc70>"
+ ]
+ },
+ "execution_count": 24,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"YouTubeVideo('hfP8hcqWfbg')"
]
@@ -1383,9 +1809,21 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 25,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([0. , 0.37674922, 0.74753308, 1.10648066, 1.44790846,\n",
+ " 1.76641039, 2.05694336, 2.31490712, 2.53621714, 2.71736924])"
+ ]
+ },
+ "execution_count": 25,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"import numpy as np\n",
"n_cycles, s_max, n_steps = 10, 3, 500 # load history parameters\n",
@@ -1397,9 +1835,20 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 26,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[<matplotlib.lines.Line2D at 0x7f68f14f1820>]"
+ ]
+ },
+ "execution_count": 26,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10,3))\n",
"ax.plot(t_arr, s_n1_arr)"
@@ -1429,7 +1878,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 27,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -1464,9 +1913,35 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 28,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "4b9eb26198744dca8b8b993ab664fe7e",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "image/png": 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",
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+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=1000.0/>\n",
+ " </div>\n",
+ " "
+ ],
+ "text/plain": [
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"%matplotlib widget\n",
"fig, (ax_t, ax_tau) = plt.subplots(1,2,figsize=(10,5))\n",
--
GitLab