課程資訊
課程名稱
動力學
Dynamics 
開課學期
104-1 
授課對象
工學院  應用力學研究所  
授課教師
趙聖德 
課號
AM7021 
課程識別碼
543EM4010 
班次
 
學分
全/半年
半年 
必/選修
必修 
上課時間
星期二3,4(10:20~12:10)星期四2(9:10~10:00) 
上課地點
應109應109 
備註
本課程以英語授課。
總人數上限:60人 
 
課程簡介影片
 
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課程大綱
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課程概述

I. Newtonian Dynamics
Kinematics of Particles, Newton's Laws, Conservation Theorems
Pendulum Problems, Motion in Central Force Field,
Motion of System of Particles
II. Motion of Rigid Body in a Moving Reference Frame
Kinematics of Rigid Body, Rotation of Coordinate System in Space,
Rotation of Vector in Space, Motion relative to a Moving Coordinate System
Motion on the Surface of Earth
III. Dynamics of a Rigid Body
Dynamic Specification of a Rigid Body, Equations of Motion,
Motion of a Top, Sliding and Rolling of Rigid Bodies,
IV. Lagrangian Dynamics
Constraints and Generalized Coordinates, Principle of Virtual Work, D'Alembert's Principle, Lagrangian Equation for Holonomic Systems, Lagrangian Equations for Non-holonomic Systems, Cyclic Coordinates and Routh's Method,
V. Hamiltonian Dynamics
Calculus of Variations, Hamilton's Principle, Legendre's Transformation, Hamilton's Equations, Hamiltonian and Conservation Laws, Poisson brackets, Canonical transformation, Hamilton-Jacobi equation

Grading : Midterm (30%), Final (40%), Homework (30%)

Textbooks & References: 
S. T. Thornton and J. B. Marion, Classical Dynamics (5th Ed.), Thomson Brooks/Cole, 2004
H. Goldstein, C. Poole and J. Safko, Classical Mechanics (3rd Ed.), Addison Wesley, 2002.
J. R. Taylor, Classical Dynamics, University Science Books, 2004.
 

課程目標
1. The ability to solve Newton equation of motion for a given force
2. The ability to formulate a dynamics problem in Lagrangian formulation
3. The ability to solve Lagrange equation
4. The ability to formulate a dynamics problem in Hamiltonian formulation
5. The ability to perform canonical transformation and solve Hamilton equation  
課程要求
待補 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
待補 
參考書目
 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題