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/ 1Introduction: Newton mechanics vs analytical mechanics
2nd10/ 8Variational Principles: variational principle in statics
3rd10/22Variational Principles: variational principle in dynamics
4th10/25Motion of Mass: planar motion of mass
5th10/29Motion of Mass: spacial motion of mass
6th11/ 5Rigid Body Rotation: planar rotation
7th11/12Rigid Body Rotation: spatial rotation
8th11/26Rigid Body Rotation: quaternion
9th12/ 3Link Mechanisms: open link mechanism
10th12/10Link Mechanisms: closed link mechanism
11th12/17Elastic Deformation: elastic potential energy
12th12/24Elastic Deformation: finite element method (FEM)
13th 1/ 7Elastic Deformatino: dynamic deformation
14th 1/14Inelastic Deformation: 1D inelastic deformation
15th 1/20Inelastic Deformation: 2D/3D inelastic deformation

1st    Introduction (updated 2014/9/29) reduced copy
2nd,3rd    Variational Principles (updated 2014/10/6) reduced copy
5th,6th    Motoin of Mass (updated 2014/10/22) reduced copy
6th-8th    Rigid Bidy Rotation (updated 2014/10/27) reduced copy
9th,10th    Link Mechanisms (updated 2014/11/28) reduced copy
11th-13th    Elastic Deformation (updated 2014/12/10) reduced copy
14th,15th    Inelastic Deformation (updated 2014/12/23) 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.