2025-02-27 16:37:22 +08:00
|
|
|
{
|
|
|
|
"cells": [
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 5,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"import sympy as sm\n",
|
|
|
|
"import sympy.physics.mechanics as me\n",
|
|
|
|
"sm.init_printing()"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 6,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"q1, q2, q3, q4 = sm.symbols('q1:5')\n",
|
|
|
|
"l1, l2, l3, l4 = sm.symbols('l1:5')"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 7,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"N, A, B, C = sm.symbols('N, A, B, C', cls=me.ReferenceFrame)"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 8,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"A.orient_body_fixed(N, (q1, q2, 0), 'ZXZ')\n"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 9,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"B.orient_axis(A, q3, A.x)"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": 10,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"C.orient_body_fixed(B, (q3, q4, 0), 'XZX')"
|
|
|
|
]
|
|
|
|
},
|
|
|
|
{
|
|
|
|
"cell_type": "code",
|
|
|
|
"execution_count": null,
|
|
|
|
"metadata": {},
|
|
|
|
"outputs": [],
|
|
|
|
"source": [
|
|
|
|
"r_P1_P2 = l1 * A.z\n",
|
|
|
|
"r_P1_P2"
|
|
|
|
]
|
|
|
|
}
|
|
|
|
],
|
|
|
|
"metadata": {
|
|
|
|
"kernelspec": {
|
|
|
|
"display_name": "blade",
|
|
|
|
"language": "python",
|
|
|
|
"name": "python3"
|
|
|
|
},
|
|
|
|
"language_info": {
|
|
|
|
"codemirror_mode": {
|
|
|
|
"name": "ipython",
|
|
|
|
"version": 3
|
|
|
|
},
|
|
|
|
"file_extension": ".py",
|
|
|
|
"mimetype": "text/x-python",
|
|
|
|
"name": "python",
|
|
|
|
"nbconvert_exporter": "python",
|
|
|
|
"pygments_lexer": "ipython3",
|
|
|
|
"version": "3.10.16"
|
|
|
|
}
|
|
|
|
},
|
|
|
|
"nbformat": 4,
|
|
|
|
"nbformat_minor": 2
|
|
|
|
}
|