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, rigid body rotation, and elastic/inelastic object deformation.

1st 9/27Introduction: Newton mechanics vs analytical mechanics
2nd10/ 4Variational Principles: variational principle in statics
3rd10/11Variational Principles: variational principle in dynamics
4th10/18MATLAB: vectors and matrices, linear equations
5th10/25MATLAB: ODE solver, optimization, parameter passing
6th11/ 1Link Mechanisms: open link mechanism
7th11/ 8Link Mechanisms: closed link mechanism
8th11/15Elastic Deformation: strain potential energy, kinetic energy
9th11/22Elastic Deformation: finite element method (FEM)
10th11/29Elastic Deformation: static deformation
11th12/ 6Elastic Deformatino: dynamic deformation
12th12/13Inelastic Deformation: inelastic deformation models
13th12/20Inelastic Deformation: 2D/3D inelastic deformation
14th 1/ 8Rigid Body Rotation: planar/spatial rotation
15th 1/17Rigid Body Rotation: quaternion

1st    Introduction reduced copy
2nd-3th    Variational Principles reduced copy    sample programs
4th-5th    MATLAB reduced copy    sample programs
6th-7th    Link Mechanisms reduced copy    sample programs    appendix
8th-11th    Elastic Deformation reduced copy    sample programs
12th-13th    Inelastic Deformation reduced copy    sample programs
14th-15th    Rigid Bidy Rotation reduced copy    sample programs