Analytical Mechanics

I will teach basics and applications of analytical mechanics, emphasizing variation principle of statics, variation principle of dynamics, and method of variation. These issues will be applied to link mechanisms, elastic/inelastic object deformation, and rigid body rotation.
1st 9/30Introduction: Newton mechanics vs analytical mechanics
2nd10/ 7Variational Principles: variational principle in statics
3rd10/14Variational Principles: variational principle in dynamics
4th10/21MATLAB: vectors and matrices, linear equations, ODE solver, optimization, parameter passing
5th10/28Link Mechanisms: open link mechanism
6th11/ 4Link Mechanisms: class/methods, PD/PI control
7th11/11Link Mechanisms: closed link mechanism
8th11/18Rigid Body Rotation: planar/spatial rotation
9th11/25Rigid Body Rotation: dynamic equation of rotation
10th12/ 2Rigid Body Rotation: quaternion
11th12/ 9Elastic Deformation: strain potential energy, kinetic energy
12th12/16Elastic Deformation: finite element method (FEM)
13th12/23Elastic Deformation: static deformation, dynamic deformation, Green strain
14th 1/ 6Inelastic Deformation: inelastic deformation models
15th 1/20Inelastic Deformation: 2D/3D inelastic deformation
Handouts
1st    Introduction reduced copy
2nd-3th    Variational Principles reduced copy    sample programs    curve of fastest descent
4th    MATLAB reduced copy    sample programs
5th-7th    Link Mechanisms reduced copy    sample programs    vector derivatives
8th-10th    Rigid Bidy Rotation reduced copy    sample programs
11th-13th    Elastic Deformation reduced copy    sample programs
14th-15th    Inelastic Deformation reduced copy    sample programs


[Education]