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.

1st10/ 2Introduction: Newton mechanics vs analytical mechanics
2nd10/ 9Variational Principles: variational principle in statics
3rd10/16Variational Principles: variational principle in dynamics
4th10/23MATLAB: vectors and matrices, linear equations, ODE solver, optimization
5th10/28Link Mechanisms: open link mechanism
6th10/30Link Mechanisms: class/methods, PD/PI control
7th11/ 6Link Mechanisms: closed link mechanism
8th11/13Rigid Body Rotation: planar/spatial rotation
9th11/20Rigid Body Rotation: dynamic equation of rotation
10th11/27Rigid Body Rotation: quaternion
11th12/ 4Elastic Deformation: strain potential energy, kinetic energy
12th12/11Elastic Deformation: finite element method (FEM)
13th12/18Elastic Deformation: static deformation, dynamic deformation
14th12/25Elastic Deformation: Green strain
15th 1/15Inelastic Deformation: inelastic deformation models, 2D/3D inelastic deformation

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