# 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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