|
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 |