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 object deformation.

1st 9/30Introduction: Newton mechanics vs analytical mechanics
2nd10/ 7Variational Principles: variational principle in statics
3rd10/21Variational Principles: variational principle in dynamics
4th10/28Variational Principles: dynamics under constraints
5th11/ 4MATLAB: numerical calculation using MATLAB
6th11/11Link Mechanisms: open link mechanism
7th11/18Link Mechanisms: closed link mechanism
8th11/25Rigid Body Rotation: planar rotation
9th11/30Rigid Body Rotation: spatial rotation
10th12/ 9Rigid Body Rotation: quaternion
11th12/16Elastic Deformation: elastic potential energy
12th12/23Elastic Deformation: finite element method (FEM)
13th 1/ 6Elastic Deformatino: dynamic deformation
14th 1/20Inelastic Deformation: Inelastic deformation models
15th 1/21Inelastic Deformation: 2D/3D inelastic deformation

1st    Introduction reduced copy
2nd-4th    Variational Principles reduced copy    sample programs
5th    MATLAB reduced copy    sample programs
6th-7th    Link Mechanisms reduced copy    sample programs    appendix
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

Sample Programs

Evaluation: Reports. Total score should exceed 60 points.