Nonlinear Vibration Video Lectures

Nonlinear Vibration
'Nonlinear Vibration' Video Lectures by Prof. S.K. Dwivedy from IIT Guwahati
"Nonlinear Vibration" - Video Lectures
1. Introduction of Nonlinear systems
2. Review of Linear vibrating systems
3. Phenomena associated with Nonlinear systems
4. Commonly observed Phenomena in Nonlinear systems
5. Force and Moment based Approach
6. Energy based approach Extended Hamilton’s principle and Lagrange Priciple
7. Derivation of Equation of motion of nonlinear discrete system (More examples)
8. Derivation of Equation of motion of nonlinear continuous system 1
9. Derivation of Equation of motion of nonlinear continuous system 2
10. Ordering of nonlinear Equation of motion
11. Qualitative Analysis Straight forward expansion
12. Numerical method Straight forward expansion
13. Lindstedt Poincare’ technique
14. Method of multiple scales
15. Method of Harmonic balance
16. Method of averaging
17. Generalized Method of averaging
18. Krylov-Bogoliubov-Mitropolski technique
19. Incremental harmonic balance method and Intrinsic multiple scale harmonic balance method
20. Modified Lindstedt Poincare’ technique
21. Stability and Bifurcation of Fixed-point response 1
22. Stability and Bifurcation of Fixed-point response 2
23. Stability and Bifurcation of Fixed-point response 3
24. Stability and Bifurcation of Fixed-point response 4
25. Stability Analysis of Periodic response
26. Bifurcation of Periodic response And Introduction to quasi-periodic and Chaotic response
27. Quasi-Periodic and Chaotic response
28. Numerical methods to obtain roots of characteristic equation and time response
29. Numerical methods to obtain time response
30. Numerical methods to obtain frequency response
31. Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
32. Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities: effect of damping
33. Free Vibration of multi- degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
34. Forced nonlinear Vibration Single degree of freedom Nonlinear systems with Cubic nonlinearities:
35. Forced nonlinear Vibration Single and multi- degree of freedom Nonlinear systems
36. Nonlinear Forced-Vibration of Single and Multi Degree-of-Freedom System
37. Analysis of Multi- degree of freedom system
38. Nonlinear Vibration of Parametrically excited system: Axially loaded sandwich beam
39. Nonlinear Vibration of Parametrically excited system: Elastic and Magneto-elastic beam
40. Nonlinear Vibration of Parametrically excited system with internal resonance
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