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.
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1st | 9/28 | Introduction: Newton mechanics vs analytical mechanics |
| 2nd | 10/ 5 | Variational Principles: variational principle in statics |
| 3rd | 10/12 | Variational Principles: variational principle in dynamics |
| 4th | 10/19 | Link Mechanisms: open link mechanism, kinetic energy |
| 5th | 10/26 | Link Mechanisms: open link mechanism, Lagrange equations, class/methods |
| 6th | 11/ 2 | Link Mechanisms: PD/PI control, closed link mechanism |
| 7th | 11/ 9 | Rigid Body Rotation: planar/spatial rotation |
| 8th | 11/16 | Rigid Body Rotation: dynamic equation of rotation |
| 9th | 11/23 | Rigid Body Rotation: quaternion |
| 10th | 11/30 | Elastic Deformation: strain potential energy, kinetic energy |
| 11th | 12/ 7 | Elastic Deformation: 1D finite element method (FEM) |
| 12th | 12/14 | Elastic Deformation: 2D/3D deformation, finite element method |
| 13th | 12/21 | Elastic Deformation: static deformation, dynamic deformation |
| 14th | 1/13 | Elastic Deformation: Green strain, Variational calculus |
