課程資訊

Dynamics

109-2

AM7021

543EM4010

3.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1092AM7021

This is a graduate-level course to introduce students the dynamics of particles and rigid bodies in this course. Topics covered in this course include: Dynamics of Particles, Dynamics of Rigid Continuum, Principles of Mechanics, and Hamiltonian Dynamics.

Upon completion, successful students will be able to understand the concepts of Lagrangian and Hamiltonian dynamics and how to apply the methods learnt from class to solve realistic dynamical systems.

Differential Equations, Linear Algebra, Statics

Office Hours

Slides along with any other materials related to the lecture will be posted on the class website.

Goldstein, Herbert, Charles P. Poole, and John Safko. Classical Mechanics. Pearson, 2013.

(僅供參考)

 No. 項目 百分比 說明 1. Final Exam 30% 2. Midterm Exam 30% 3. Homework 40%

 課程進度
 週次 日期 單元主題 第1週 Dynamics of Particles - Kinematics of Particles 第2週 Dynamics of Particles, Frenet–Serret Frame 第3週 Equilibrium, Stability and Equation of Motion 第4週 Kepler's laws. Motion Relative to a Moving Coordinate System 第5週 Dynamics of Rigid Continuum - Specifications of Continua; Laws of Mechanics for a Continuum; Kinematics and Finite Rotation of a Rigid Body 第6週 Dynamics of Rigid Continuum - Kinetics of a Rigid Body; Representations of Rotational Motion; Motion of a Top - Eulerian Approach 第7週 Dynamics of Rigid Continuum - Gyroscopes and Accelerometers; Sliding, Rolling, and Collision of Rigid Bodies 第8週 Principles of Mechanics - History of Classical Mechanics (from 1600 to 1900); Principle of Statics 第9週 Principles of Mechanics - D’Alembert’s Principle; D’Alembert-Lagrange’s Equation for Holonomic Systems 第10週 Midterm 第11週 Principles of Mechanics - Cyclic Coordinates and Spinning Top (Lagrangian Approach); D’Alembert-Lagrange Equations for Non-holonomic Systems 第12週 Principles of Mechanics - Rolling of Two Wheels Connected by an Axle on an Inclined Plane; Jourdain’s Variational Equation and Appell-Kane Method 第13週 Hamiltonian Dynamics - Element of Calculus of Variations; Hamilton’s Principle 第14週 Hamiltonian Dynamics - Legendre Transformation; Hamiltonian Equations 第15週 Hamiltonian Dynamics - Hamiltonian and Conservation Laws; Raileigh’s Dissipation Function