vault backup: 2025-03-12 14:13:42

多体+耦合求解器/yaml 解析.md

@@ -0,0 +1,8 @@
+
+# 问题
+
+## 水动 joints 个数未知、airfoils个数未知 vec
+
+## 材料个数位置，材料结构是否相同？vec
+
+## reference_axis 直接引用之前的坐标系 没问题

补课/多体动力学/06_Vector_differentiation.ipynb

@@ -256,7 +256,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Turtle",
+   "display_name": "TagUIFocus5",
    "language": "python",
    "name": "python3"
   },
@@ -270,7 +270,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.8"
+   "version": "3.12.4"
   }
  },
  "nbformat": 4,

补课/多体动力学/13_mass_distribution.ipynb

@@ -0,0 +1,76 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import sympy as sm\n",
+    "import sympy.physics.mechanics as me\n",
+    "me.init_vprinting()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "m1, m2, m3, m4 = sm.symbols('m1, m2, m3, m4')\n",
+    "N = me.ReferenceFrame('N')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "r1 = 3*N.x + 4*N.y\n",
+    "r2 = 3*N.y + 4*N.z\n",
+    "r3 = 4*N.x + 4*N.z\n",
+    "r4 = 3*N.y + 4*N.z"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "first_moment = m1*r1 + m2*r2 + m3*r3 + m4*r4"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "zeroth_moment = m1 + m2 + m3 + m4"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "MinerU",
+   "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
+}

补课/多体动力学/13_mass_distribution.py

@@ -0,0 +1,25 @@
+import sympy as sm
+import sympy.physics.mechanics as me
+me.init_vprinting()
+
+m1, m2, m3, m4 = sm.symbols('m1, m2, m3, m4')
+N = me.ReferenceFrame('N')
+
+r1 = 3*N.x + 4*N.y
+r2 = 3*N.y + 4*N.z
+r3 = 4*N.x + 4*N.z
+r4 = 3*N.y + 4*N.z
+
+first_moment = m1*r1 + m2*r2 + m3*r3 + m4*r4
+
+zeroth_moment = m1 + m2 + m3 + m4
+
+mass_center = first_moment / zeroth_moment
+print(mass_center)
+
+Ix = (m1 * me.cross(r1, me.cross(N.x, r1))
+      + m2 * me.cross(r2, me.cross(N.x, r2))
+      + m3 * me.cross(r3, me.cross(N.x, r3))
+      + m4 * me.cross(r4, me.cross(N.x, r4)))
+
+print(Ix)