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 mechanics of rigid body systems and vibration, which are important topics in mechatoronics.

1st10/ 2Introduction: Newton mechanics vs analytical mechanics
2nd10/ 9Variational Principles: variational principle in statics
3rd10/16Variational Principles: variational principle in dynamics
4th10/23Motion of Mass: planar motion of mass
5th10/30Motion of Mass: spacial motion of mass
6th11/20Rigid Body Rotation: planar rotation
7th11/27Rigid Body Rotation: spatial rotation
8th11/30Rigid Body Rotation: quaternion
9th12/ 4Link Mechanisms: open link mechanism
10th12/ 7Link Mechanisms: closed link mechanism
11th12/11Elastic Deformation: elastic potential energy
12th12/18Elastic Deformation: finite element method (FEM)
13th12/25Elastic Deformatino: dynamic deformation
14th 1/ 8Inelastic Deformation: 1D inelastic deformation
15th 1/15Inelastic Deformation: 2D/3D inelastic deformation

1st    Introduction (updated 2013/9/26) reduced copy
2nd,3rd    Variational Principles (updated 2013/9/26) reduced copy
5th,6th    Motoin of Mass (updated 2013/10/30) reduced copy
6th-8th    Rigid Bidy Rotation (updated 2013/11/18) reduced copy
9th,10th    Link Mechanisms (updated 2013/12/3) reduced copy
11th-13th    Elastic Deformation (updated 2013/12/4) reduced copy
14th,15th    Inelastic Deformation (updated 2013/12/27) reduced copy
appendix    Introduction to MATLAB (updated 2013/12/9) reduced copy

Reports and Examination. You will pass the examination when your total score exceeds 60 points.
No textbook is specified. You are recommended to read the reference books below.
Reference Books
Analytical Dynamics : A New Approach     Robert E. Kalaba     Cambridge University Press
Analytical Dynamics     Haim Baruh     McGraw-Hill Higher Education

You are requested to study Newton mechanics (classical mechanics). In addition, you should complete differential and integral calculus.