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 9/29Introduction: Newton mechanics vs analytical mechanics
2nd10/ 6Variational Principles: variational principle in statics
3rd10/13Variational Principles: variational principle in dynamics
4th10/20Link Mechanisms: open link mechanism, kinetic energy
5th10/27Link Mechanisms: open link mechanism, Lagrange equations, class/methods
6th11/ 3Link Mechanisms: PD/PI control, closed link mechanism
7th11/10Rigid Body Rotation: planar/spatial rotation
8th11/17Rigid Body Rotation: dynamic equation of rotation
9th11/20Rigid Body Rotation: quaternion
10th12/ 1Elastic Deformation: strain potential energy, kinetic energy
11th12/ 8Elastic Deformation: finite element method (FEM)
12th12/15Elastic Deformation: static deformation
13th12/22Elastic Deformation: dynamic deformation, Green strain
14th 1/13Elastic Deformation: Variational calculus

Handouts
1st    Introduction
2nd-3th    Variational Principles sample programs    curve of fastest descent
4th-6th    Link Mechanisms sample programs    vector derivatives
7th-9th    Rigid Bidy Rotation sample programs
10th-14th    Elastic Deformation sample programs



[Education]