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 9/28Introduction: Newton mechanics vs analytical mechanics
2nd10/ 5Variational Principles: variational principle in statics
3rd10/12Variational Principles: variational principle in dynamics
4th10/19Variational Principles: dynamics under constraints
5th10/26MATLAB: numerical calculation using MATLAB
6th11/ 2Link Mechanisms: open link mechanism
7th11/ 9Link Mechanisms: closed link mechanism
8th11/16Rigid Body Rotation: planar rotation
9th11/23Rigid Body Rotation: spatial rotation
10th11/30Rigid Body Rotation: quaternion
11th12/ 7Elastic Deformation: elastic potential energy
12th12/14Elastic Deformation: finite element method (FEM)
13th12/21Elastic Deformatino: dynamic deformation
14th 1/ 9Inelastic Deformation: Inelastic deformation models
15th 1/18Inelastic Deformation: 2D/3D inelastic deformation

Handouts
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.

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