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所在平台: Udemy |
课程主页: https://www.udemy.com/course/lagrangian-mechanics/
课程评论：没有评论
## 拉格朗日力学 Coursera 课程概览 本课程是拉格朗日力学的入门介绍，面向熟悉牛顿力学和微积分的大学生及其他学习者。通过本课程，您将学会如何将拉格朗日力学应用于经典力学系统，求解其运动方程和物理量。 **内容亮点：** * **拉格朗日动力学：** * 学习在广义坐标系下，根据约束函数和自由度，构建系统的拉格朗日量（拉格朗日函数）。 * 掌握欧拉-拉格朗日方程（第二类拉格朗日方程）的应用，求解系统的运动方程。 * 通过三个实例深入理解经典系统的拉格朗日量。 * **广义力：** * 理解广义保守力的定义。 * 学习在不施加约束函数的情况下，通过应用第一类拉格朗日方程来求解系统的约束力。 * **守恒律：** * 当拉格朗日量中存在循环坐标时，学习求解守恒的广义动量（包括线动量和角动量）。 * 当拉格朗日量不随时间变化时，学习求解系统的守恒能量。 拉格朗日力学虽然在应用于经典系统时等同于牛顿力学，但在处理更复杂的系统时，其方法更为简便。立即注册，开启您的拉格朗日力学学习之旅！
This is an introductory course in Lagrangian mechanics provided for college students and anyone who is familiar with Newtonian mechanics and calculus. In this course you will learn how to apply Lagrangian mechanics to the classical systems and find their equations of motion and physical quantities. When applied to the classical systems, Lagrangian mechanics is equivalent to the Newtonian mechanics, but more easier than Newtonian mechanics, especially when you are dealing with more complicated systems. This course is made of three sections:Lagrangian Dynamics: this section begins with writing Lagrangian (Lagrange function) of a system in a generalized coordinates in terms of independent coordinates, by finding constraint functions and number of degrees of freedom of the system. You will learn how to apply Euler-Lagrange equations (Lagrange's equations of the second kind) to the independent coordinates and find the equations of motion of the system. Lagrangian of classical systems is discussed along with three examples.Generalized Forces: This section begins with definition of generalized conservative forces. Then by writing Lagrangian without imposing constraint functions and by applying Euler-Lagrange equations of first kind, you learn how to find constraint forces of a system. Conservation Laws: in this section you learn how to find conserved generalized momentum (both linear and angular) if there is a cyclic coordinate in Lagrangian; and how to find conserved energy of the system if Lagrangian is independent of time.Register to this course and enjoy learning Lagrangian mechanics!
