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