vault backup: 2025-02-27 10:03:30
This commit is contained in:
parent
f8fe3e23c5
commit
aa6d2e654b
@ -1,7 +1,7 @@
|
||||
{
|
||||
"nodes":[
|
||||
{"id":"b698e88ca5fb9c51","type":"text","text":"状态指标：\n推进OKR的时候也要关注这些事情，它们是完成OKR的保障。\n\n\n","x":-96,"y":80,"width":456,"height":347},
|
||||
{"id":"58be7961ae7275a7","type":"text","text":"# 计划\n这周要做的3~5件重要的事情，这些事情能有效推进实现OKR。\n\nP1 必须做。P2 应该做\n\nP1 多体原理学习 YouTube课程\nP1 根据HEROWind数据结构更新多体模块结构体\nP1 公共模块整理与探讨\nP1 气动模块联合调试，跑通\n","x":-620,"y":-307,"width":450,"height":347},
|
||||
{"id":"58be7961ae7275a7","type":"text","text":"# 计划\n这周要做的3~5件重要的事情，这些事情能有效推进实现OKR。\n\nP1 必须做。P2 应该做\n\nP1 多体原理学习 YouTube课程\nP1 根据HEROWind数据结构更新多体模块结构体\nP1 公共模块整理与探讨\nP1 气动模块联合调试，跑通\nP1 多体动力学节点细化\n","x":-620,"y":-307,"width":450,"height":347},
|
||||
{"id":"2b068bfe5df15a72","type":"text","text":"# 目标：多体动力学模块完善\n### 每周盘点一下它们\n\n\n关键结果：建模原理、建模方法掌握 （5/10）\n\n关键结果：对标Bladed模块完成 （5/10）\n\n关键结果：风机多体动力学文献调研情况完成 （5/10）","x":-96,"y":-307,"width":456,"height":347},
|
||||
{"id":"01ee5c157d0deeae","type":"text","text":"# 推进计划\n未来四周计划推进的重要事情\n\n文献调研启动\n\n建模重新推导\n\n\n","x":-620,"y":80,"width":456,"height":347}
|
||||
],
|
||||
|
||||
Binary file not shown.
40
工作总结/团队周例会/25.2.25.md
Normal file
40
工作总结/团队周例会/25.2.25.md
Normal file
@ -0,0 +1,40 @@
|
||||
|
||||
推进设计流程编写，明确团队在设计流程中的位置，区分工作范围。20MW模型、设计好好规划一下。
|
||||
|
||||
跟曹老师再谈谈整机设计的
|
||||
|
||||
根据工作进展可以提前提报采购申请，团队的证据链清楚，申报时间，审批时间都很清楚，点到为止
|
||||
|
||||
培训计划，多次优化后断崖式领先其他团队，还是没被职能满意，
|
||||
|
||||
2025年任务分得比较清楚，还都在做，这个星期集中审查一次，两个半天，
|
||||
|
||||
软件组是标志性软件，比较重视软件，对科研来讲好开展，只要需求方参与，测试反馈，脑力要求比较高，基本功还是在专业上，规划的软件功能要清晰，界面友好，进度要有规划，尽可能早点，支撑科研任务，通过科研成果反馈校核迭代。软件工作要做规划，规划评审一下，开发者手册，框架、功能，早点评审，早点吸取建议
|
||||
|
||||
联培博士工作要重视，再找教授，看研究生部的要求，检查作业，学生向职业的转换过程中，确保能毕业
|
||||
|
||||
两重：要求全力以赴，全员参与，三个月了，可研报告有几稿了，是一个历练，知道可研工作怎么做，方案探讨工程，总结教训，能力不够，做的工作，科创部没法拍板，总结经验1 可研报告还没做完，就花大精力做ppt，不如把可研工作做扎实，有点投机取巧心理，不是踏踏实实做事情；2 可研报告大量注水，说的不痛不痒，通读不下去，主要内容看不到了，投机取巧心理；3 综合打捆，多个合一。失败损失的是信誉，以后做正确的也不会被相信。做什么事都要踏踏实实，投机取巧，害人害己。批下来后，怎么建设，怎么深化，招标方案，招标设计，招标设计，设计联络会，确定方案。
|
||||
|
||||
实验室月度例会：风电机组团队建设要加快，瞄准百人规模前进，今年计划83人；科创部指导下，可研要挖到根，追到底-变压器的；风机团队两重项目是重点，核心区平台也不要放松，材料经不经得起评审，怎么操作怎么执行，详细设计的问题，我们做还是招标后请别人做，招标完厂家要做详细设计，根据我们的方案是不是可操作，接下来分几个步骤，提前考虑，提前采购的
|
||||
|
||||
文档用AI
|
||||
|
||||
边建设边科研边出成果，试验场地，利用总平台的左右，带动高质量参与，强调团队，不要担心来了没事干，
|
||||
|
||||
碳捕集，每周一学习，学习实验室的制度，碳捕集内控责任书以及签了。利用体制机制优势开展科研工作，成果有益，
|
||||
|
||||
对双聘人员，有些顾虑，回去后跟不上，实验室正在研究，新的做法再说，新员工培训形成常态机制
|
||||
|
||||
电缆团队，材料研究数字化开发探讨，汤，改变科研范式，赋予AI新的应用场景，大量使用博士生开展模型研究，大量重复性工作用AI做
|
||||
|
||||
2027年内预算可下达到团队，今年采购量特别大18个亿，如果有卡点尽快反馈，加快审批流程，被山西的院士从头骂到尾。采购提前，加强综合计划的分析，团队汇报要汇报相关内容，综合计划是什么，综合部留意一下
|
||||
|
||||
王书记，两会期间实验室安排要到位，303楼3楼理化实验室，单位较多，管理可能空缺
|
||||
|
||||
汤：1 签订责任书的单位根据责任书执行，要凝练科技问题，要善于报央企大腿，三不要，不要自大，不要当包工头，负责人们不要沽名钓誉，每周至少四天在实验室干活，半天一天到外面当专家
|
||||
|
||||
2 管理，二级院怎么管，还在探讨中，共建二级院，难度更大，尽快形成成熟管理模式，比较推崇南网管理模式，共建规则协议，三峡想拷贝，实验室不同意，核心是1配资1比1，南网下设自办机构，归南网管，借助实验室平台扩展一下科研渠道，智能电网2030给了13个项目。三峡认可实验室模式，资金支撑，人员支撑，落地示范支撑。管理没有放权到二级院，防止二级院把科研模式带回央企模式，知识产权布局要加快，结合试验平台，配置试验专责
|
||||
|
||||
3 实验室职能调整，成立采购处，知识产权分立，二级单位超过200人可以增设人事部，明确实验室总人数921人，职能部门加强服务，加强对两重的服务，团队不强是科创部不能拍板的主要原因。
|
||||
|
||||
4 启动内部审计，用权要自立，支持招标采购工作，团队权力很大，双聘人员不能成为潜伏人员，规范花钱，近五年要花150亿，今年总人数要达到2000人
|
||||
348
补课/多体动力学/04_orientation.ipynb
Normal file
348
补课/多体动力学/04_orientation.ipynb
Normal file
@ -0,0 +1,348 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 7,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"import sympy as sm"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 8,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"sm.init_printing()"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 9,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"theta, alpha = sm.symbols(\"theta, alpha\")"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 10,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\theta \\right)} & \\sin{\\left(\\theta \\right)} & 0\\\\- \\sin{\\left(\\theta \\right)} & \\cos{\\left(\\theta \\right)} & 0\\\\0 & 0 & 1\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡cos(θ) sin(θ) 0⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢-sin(θ) cos(θ) 0⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣ 0 0 1⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 10,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"B_C_A = sm.Matrix([[sm.cos(theta), sm.sin(theta), 0],\n",
|
||||
" [-sm.sin(theta), sm.cos(theta), 0],\n",
|
||||
" [0, 0, 1]])\n",
|
||||
"B_C_A"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 11,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0\\\\0 & \\cos{\\left(\\alpha \\right)} & \\sin{\\left(\\alpha \\right)}\\\\0 & - \\sin{\\left(\\alpha \\right)} & \\cos{\\left(\\alpha \\right)}\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡1 0 0 ⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢0 cos(α) sin(α)⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣0 -sin(α) cos(α)⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 11,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"C_C_B = sm.Matrix([[1, 0, 0],\n",
|
||||
" [0, sm.cos(alpha), sm.sin(alpha)],\n",
|
||||
" [0, -sm.sin(alpha), sm.cos(alpha)]])\n",
|
||||
"C_C_B"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 12,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\theta \\right)} & \\sin{\\left(\\theta \\right)} & 0\\\\- \\sin{\\left(\\theta \\right)} \\cos{\\left(\\alpha \\right)} & \\cos{\\left(\\alpha \\right)} \\cos{\\left(\\theta \\right)} & \\sin{\\left(\\alpha \\right)}\\\\\\sin{\\left(\\alpha \\right)} \\sin{\\left(\\theta \\right)} & - \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\theta \\right)} & \\cos{\\left(\\alpha \\right)}\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡ cos(θ) sin(θ) 0 ⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢-sin(θ)⋅cos(α) cos(α)⋅cos(θ) sin(α)⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣sin(α)⋅sin(θ) -sin(α)⋅cos(θ) cos(α)⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 12,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"C_C_A = C_C_B * B_C_A\n",
|
||||
"C_C_A"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"import sympy.physics.mechanics as me"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 14,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"A = me.ReferenceFrame('A')\n",
|
||||
"B = me.ReferenceFrame('B')\n",
|
||||
"C = me.ReferenceFrame('C')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 15,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"B.orient_axis(A, theta, A.z)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 18,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAABcAAAAVCAYAAACt4nWrAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAABJ0AAASdAHeZh94AAAB4UlEQVR4nM3UTYhOcRTH8c+DCJGZhLBASiQ1E8lCCNmNDVITdmQxJfKyUMfZWGDJQhIbKRbyUhZkUlYsKDUoslASC5JoYmYs7v9hvDzTvFg4q/u/95zvOf9fv3tqfX19GkVmtmBjOV6KiK6GyX+JWiN4Zk7CI8xFDV1YGhFfBgsfNcC3U5iHPTiERTgxWDANJs/MrbiIIxGR5d0x7EdbRFwfNvxfxUCy/N/wMfWHzGzGQbRiPpoxAR/xDFdwcrhumYkDWIc5mFyaN2MFjuFeZk4c8uToxVPcxxu8x1gsxKaS24rdBmnJP9ySmbOwrNxkvOoH2oHFJeVORKwd0uSZ2YRzaCvARjF7MOBf4Djr5x4ZKMYNCZ6ZE1QT16MTO/EyInoy8xI29y/MzDZcLcf1EXE7M1eV2hq21N0yBaP71d6IiOcFPA1rfp8qIq7hdDmeycwZKllrOB8Rl+uyvMWH0gQOZ+Z09GEbpja4+V6sxgLVBp2OF+ig+DwivuFov6ImlecPlga3/kaOiM9oR08B96I9Ij79gJfE49iFJ/iKd7iA5XjdYHIq99QlHaXa/xjhViw6P1bJ9hAtKnmXRMSrYcMzs4ab2IAHWIm7qpt2Yt1ItmJHAXdjR0R0Yzs+q9y17zu2Cpf87xXnRgAAAABJRU5ErkJggg==",
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\mathbf{\\hat{a}_x}$"
|
||||
],
|
||||
"text/plain": [
|
||||
"a_x"
|
||||
]
|
||||
},
|
||||
"execution_count": 18,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"A.x"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\theta \\right)} & \\sin{\\left(\\theta \\right)} & 0\\\\- \\sin{\\left(\\theta \\right)} & \\cos{\\left(\\theta \\right)} & 0\\\\0 & 0 & 1\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡cos(θ) sin(θ) 0⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢-sin(θ) cos(θ) 0⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣ 0 0 1⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"B.dcm(A)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 20,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"C.orient_axis(B, alpha, B.x)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0\\\\0 & \\cos{\\left(\\alpha \\right)} & \\sin{\\left(\\alpha \\right)}\\\\0 & - \\sin{\\left(\\alpha \\right)} & \\cos{\\left(\\alpha \\right)}\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡1 0 0 ⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢0 cos(α) sin(α)⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣0 -sin(α) cos(α)⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"C.dcm(B)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 22,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}\\cos{\\left(\\theta \\right)} & \\sin{\\left(\\theta \\right)} & 0\\\\- \\sin{\\left(\\theta \\right)} \\cos{\\left(\\alpha \\right)} & \\cos{\\left(\\alpha \\right)} \\cos{\\left(\\theta \\right)} & \\sin{\\left(\\alpha \\right)}\\\\\\sin{\\left(\\alpha \\right)} \\sin{\\left(\\theta \\right)} & - \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\theta \\right)} & \\cos{\\left(\\alpha \\right)}\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡ cos(θ) sin(θ) 0 ⎤\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎢-sin(θ)⋅cos(α) cos(α)⋅cos(θ) sin(α)⎥\n",
|
||||
"⎢ ⎥\n",
|
||||
"⎣sin(α)⋅sin(θ) -sin(α)⋅cos(θ) cos(α)⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 22,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"C.dcm(A)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 23,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"A = me.ReferenceFrame(\"A\")\n",
|
||||
"C = me.ReferenceFrame(\"C\")"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 24,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"psi, theta, phi = sm.symbols('psi, theta, varphi')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 25,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"C.orient_body_fixed(A, (phi, theta, phi), 'ZXZ')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 26,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}- \\sin^{2}{\\left(\\varphi \\right)} \\cos{\\left(\\theta \\right)} + \\cos^{2}{\\left(\\varphi \\right)} & \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\theta \\right)} \\cos{\\left(\\varphi \\right)} + \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\varphi \\right)} & \\sin{\\left(\\theta \\right)} \\sin{\\left(\\varphi \\right)}\\\\- \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\theta \\right)} \\cos{\\left(\\varphi \\right)} - \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\varphi \\right)} & - \\sin^{2}{\\left(\\varphi \\right)} + \\cos{\\left(\\theta \\right)} \\cos^{2}{\\left(\\varphi \\right)} & \\sin{\\left(\\theta \\right)} \\cos{\\left(\\varphi \\right)}\\\\\\sin{\\left(\\theta \\right)} \\sin{\\left(\\varphi \\right)} & - \\sin{\\left(\\theta \\right)} \\cos{\\left(\\varphi \\right)} & \\cos{\\left(\\theta \\right)}\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"⎡ 2 2 ↪\n",
|
||||
"⎢ - sin (varphi)⋅cos(θ) + cos (varphi) sin(varphi)⋅cos(θ) ↪\n",
|
||||
"⎢ ↪\n",
|
||||
"⎢ 2 ↪\n",
|
||||
"⎢-sin(varphi)⋅cos(θ)⋅cos(varphi) - sin(varphi)⋅cos(varphi) - sin (v ↪\n",
|
||||
"⎢ ↪\n",
|
||||
"⎣ sin(θ)⋅sin(varphi) ↪\n",
|
||||
"\n",
|
||||
"↪ ⎤\n",
|
||||
"↪ ⋅cos(varphi) + sin(varphi)⋅cos(varphi) sin(θ)⋅sin(varphi)⎥\n",
|
||||
"↪ ⎥\n",
|
||||
"↪ 2 ⎥\n",
|
||||
"↪ arphi) + cos(θ)⋅cos (varphi) sin(θ)⋅cos(varphi)⎥\n",
|
||||
"↪ ⎥\n",
|
||||
"↪ -sin(θ)⋅cos(varphi) cos(θ) ⎦"
|
||||
]
|
||||
},
|
||||
"execution_count": 26,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"C.dcm(A)"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Turtle",
|
||||
"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": "3.11.8"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
39
补课/多体动力学/04_orientations_of_ref_frames.md
Normal file
39
补课/多体动力学/04_orientations_of_ref_frames.md
Normal file
@ -0,0 +1,39 @@
|
||||
Vectors
|
||||
- magnitude 大小
|
||||
- direction 方向
|
||||
- sense 正负
|
||||
|
||||
|
||||
Unit vectors 模=1
|
||||
|
||||
Reference Frames
|
||||
Euclidean 3D Space:all points in some 3D space
|
||||
|
||||
Observer of position + motion
|
||||
|
||||
motion is a function of the obsersiver's orientation
|
||||
|
||||
Frame of reference "reference frame" is a set of all Euclidean points fixed to the observer. An abstraction to understand motion
|
||||
|
||||
We will fix 3 right-handed mutually perpendiculur unit vectors to a reference frame and use them to determine orientation among reference frames
|
||||
|
||||
互相垂直，右手坐标系，满足叉乘规律
|
||||
|
||||
Simple 2D orientation
|
||||
|
||||
B关于A的的变换矩阵 ---- 方向余弦矩阵 direct cosine matrix or 旋转矩阵 rotation matrix of B with respect to A
|
||||
|
||||
或者称之为
|
||||
Right handed rotation of B with respect to A about the shared Z unit vector through the angle theta
|
||||
|
||||
|
||||
Successive Rotations
|
||||
|
||||
C^[C]^A = C^[C]^B * B^[C]^A
|
||||
|
||||
|
||||
Euler Angles
|
||||
3 successive simple rotations about shared axes that allows for arbitrary orientation of two reference frames with two additional or auxiliary reference frames
|
||||
|
||||
|
||||
|
||||
0
补课/多体动力学/05_vectors.ipynb
Normal file
0
补课/多体动力学/05_vectors.ipynb
Normal file
0
补课/多体动力学/05_vectors.md
Normal file
0
补课/多体动力学/05_vectors.md
Normal file
@ -2,7 +2,7 @@
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 1,
|
||||
"execution_count": 16,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
@ -12,7 +12,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 2,
|
||||
"execution_count": 17,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -21,7 +21,7 @@
|
||||
"(a, b, theta, gamma, x, t, y, z)"
|
||||
]
|
||||
},
|
||||
"execution_count": 2,
|
||||
"execution_count": 17,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@ -32,7 +32,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 5,
|
||||
"execution_count": 18,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -41,7 +41,7 @@
|
||||
"f"
|
||||
]
|
||||
},
|
||||
"execution_count": 5,
|
||||
"execution_count": 18,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@ -53,7 +53,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -65,7 +65,7 @@
|
||||
"sin(f(t)) - tan(a/b)/log(gamma)"
|
||||
]
|
||||
},
|
||||
"execution_count": 4,
|
||||
"execution_count": 19,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@ -77,7 +77,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 6,
|
||||
"execution_count": 20,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
@ -89,7 +89,7 @@
|
||||
"2*a*(tan(a/b)**2 + 1)*tan(a/b)/(b**3*log(gamma)) + (tan(a/b)**2 + 1)/(b**2*log(gamma))"
|
||||
]
|
||||
},
|
||||
"execution_count": 6,
|
||||
"execution_count": 20,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@ -99,11 +99,197 @@
|
||||
"part2 = sm.diff(part1, b)\n",
|
||||
"part2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"### Matrices & Linear Algebra"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle \\left[\\begin{matrix}1 & 2\\\\3 & 4\\end{matrix}\\right]$"
|
||||
],
|
||||
"text/plain": [
|
||||
"Matrix([\n",
|
||||
"[1, 2],\n",
|
||||
"[3, 4]])"
|
||||
]
|
||||
},
|
||||
"execution_count": 21,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"mat1 = sm.Matrix([[1, 2],[3, 4]])\n",
|
||||
"mat1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"### Linear systems"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 22,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"lin_expr_1 = a * x +b**2*y + sm.sin(gama) *z"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 23,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle x \\sin{\\left(f{\\left(t \\right)} \\right)} + z \\log{\\left(f{\\left(t \\right)} \\right)}$"
|
||||
],
|
||||
"text/plain": [
|
||||
"x*sin(f(t)) + z*log(f(t))"
|
||||
]
|
||||
},
|
||||
"execution_count": 23,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"lin_expr_2 = sm.sin(f(t)) *x + sm.log(f(t)) * z\n",
|
||||
"lin_expr_2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 24,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle a x + b^{2} y + z \\sin{\\left(\\gamma \\right)} = 0$"
|
||||
],
|
||||
"text/plain": [
|
||||
"Eq(a*x + b**2*y + z*sin(gamma), 0)"
|
||||
]
|
||||
},
|
||||
"execution_count": 24,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"sm.Eq(lin_expr_1, 0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 25,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle x \\sin{\\left(f{\\left(t \\right)} \\right)} + z \\log{\\left(f{\\left(t \\right)} \\right)} = 0$"
|
||||
],
|
||||
"text/plain": [
|
||||
"Eq(x*sin(f(t)) + z*log(f(t)), 0)"
|
||||
]
|
||||
},
|
||||
"execution_count": 25,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"sm.Eq(lin_expr_2, 0)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 26,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"[{x: -b**2*y*log(f(t))/(a*log(f(t)) - sin(gamma)*sin(f(t))),\n",
|
||||
" z: b**2*y*sin(f(t))/(a*log(f(t)) - sin(gamma)*sin(f(t)))}]"
|
||||
]
|
||||
},
|
||||
"execution_count": 26,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"res = sm.solve([lin_expr_1, lin_expr_2], x, z, dict = True)\n",
|
||||
"res"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 27,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"{x: -b**2*y*log(f(t))/(a*log(f(t)) - sin(gamma)*sin(f(t))),\n",
|
||||
" z: b**2*y*sin(f(t))/(a*log(f(t)) - sin(gamma)*sin(f(t)))}"
|
||||
]
|
||||
},
|
||||
"execution_count": 27,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"res_dict = res[0]\n",
|
||||
"res_dict"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 28,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/latex": [
|
||||
"$\\displaystyle x = - \\frac{b^{2} y \\log{\\left(f{\\left(t \\right)} \\right)}}{a \\log{\\left(f{\\left(t \\right)} \\right)} - \\sin{\\left(\\gamma \\right)} \\sin{\\left(f{\\left(t \\right)} \\right)}}$"
|
||||
],
|
||||
"text/plain": [
|
||||
"Eq(x, -b**2*y*log(f(t))/(a*log(f(t)) - sin(gamma)*sin(f(t))))"
|
||||
]
|
||||
},
|
||||
"execution_count": 28,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"sm.Eq(x, res_dict[x])"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "blade",
|
||||
"display_name": "Turtle",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
@ -117,7 +303,7 @@
|
||||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.10.16"
|
||||
"version": "3.11.8"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user