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所在平台: Udemy |
课程主页: https://www.udemy.com/course/dynamics-2-mathematical-modeling-analysis-of-rigid-bodies/
课程评论:没有评论
**课程名称:** 工程力学:动力学 II - 刚体数学建模与分析 **课程概述:** 本课程将深入讲解如何为旋转风力涡轮机、陀螺仪等系统建立数学模型,这些模型在控制系统等领域具有广泛应用。您将学习如何利用角动量分析卫星运动,以及如何运用功和能的原理轻松处理复杂的刚体运动。课程还将探讨如何使用牛顿定律和拉格朗日方程来描述简单振动系统的运动。 **课程内容:** * **刚体运动学与动力学:** 涵盖二维和三维刚体的运动学和动力学分析。 * **数学建模:** 重点介绍惯性矩阵(惯性张量)和旋转坐标系等核心概念,为建立精度更高的数学模型奠定基础。 * **功和能:** 学习如何利用功和能的原理简化复杂刚体的分析。 * **拉格朗日方程:** 掌握使用拉格朗日方程分析振动系统及其它动力学问题。 * **冲量与动量:** 深入理解冲量和动量的概念及其在分析碰撞和冲击问题中的应用。 * **问题解决和直观理解:** 课程提供丰富的习题,帮助学员巩固知识,并深入理解概念背后的直觉和推理。 **学习目标:** 完成本课程后,您将能够: * 熟练掌握刚体运动学和动力学的分析方法。 * 能够为实际工程系统(如旋转机械、卫星等)建立准确的数学模型。 * 灵活运用功、能、角动量、冲量和动量等原理解决动力学问题。 * 理解并应用拉格朗日方程进行系统分析。 * 建立扎实的工程力学基础,为后续学习更高级的工程学科(如控制系统)打下坚实基础。 **适合人群:** * 希望深入理解和掌握刚体动力学原理的工程师和学生。 * 需要为控制系统、自动驾驶汽车、无人机等领域构建高级控制器的专业人士。 * 对物理学和工程建模感兴趣的学习者。 **讲师:** Mark
How do you get a mathematical model for a system like a rotating wind turbine or a spinning gyroscope that you can later use in other fields, such as control systems?Would you like to know how to analyze satellite motion using angular momentum and how to take advantage of work and energy to deal with complicated objects in a very easy way?Would you like to learn how to take a simple vibrating system and describe its motion using Newton laws and Lagrange?All that and much more, I will teach you here, in the course: Engineering Mechanics: Dynamics part 2 - Mathematical modeling and analysis of rigid bodies.My name is Mark, and in this course, I will make sure that you will be fully equipped to model and analyze rigid bodies mathematically.Knowing how to model rigid bodies is a "must" in engineering.I have 3 control systems courses where I teach advanced controllers for autonomous cars and UAV-s. The basis for building a good controller is to have a good mathematical model.In those courses, when I build those models, I rely heavily on topics taught here, such as inertia matrix (inertia tensor) and rotating frames.For rigid bodies in 2D and 3D, we will cover kinematics, dynamics, work, energy, Lagrange, impulse and momentum.You will get lots of problem solving, but you will also understand the intuition and reasoning behind the concepts.Take a look at some of my free preview videos, and if you like what you see, ENROLL NOW, and let's get started!See you inside!