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.

1st 9/28Introduction: Newton mechanics vs analytical mechanics
2nd10/ 5Variational Principles: variational principle in statics
3rd10/19Variational Principles: variational principle in dynamics
4th10/22Variational Principles: dynamics under constraints
5th10/26Motion of Mass: planar/spacial motion of mass
6th11/ 2Rigid Body Rotation: planar rotation
7th11/ 9Rigid Body Rotation: spatial rotation
8th11/16Rigid Body Rotation: quaternion
9th11/23Link Mechanisms: open link mechanism
10th11/30Link Mechanisms: closed link mechanism
11th12/ 7Elastic Deformation: elastic potential energy
12th12/10Elastic Deformation: finite element method (FEM)
13th12/21Elastic Deformatino: dynamic deformation
14th 1/11Inelastic Deformation: 1D inelastic deformation
15th 1/18Inelastic Deformation: 2D/3D inelastic deformation

1st    Introduction reduced copy
2nd,3rd    Variational Principles reduced copy
5th,6th    Motoin of Mass reduced copy
6th-8th    Rigid Bidy Rotation reduced copy
9th,10th    Link Mechanisms reduced copy
11th-13th    Elastic Deformation reduced copy
14th,15th    Inelastic Deformation reduced copy

Evaluation: Reports. You will pass the examination when your total score exceeds 60 points.

Textbook: No textbook is specified. You are recommended to read the reference books
References: 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.