Lecture 11 of 40Solution of Nonlinear Equations of motions
Qualitative Analysis Straight forward expansion
Prof. S.K. Dwivedy · IIT Guwahati
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All the lectures
- Introduction of Nonlinear systems
- Review of Linear vibrating systems
- Phenomena associated with Nonlinear systems
- Commonly observed Phenomena in Nonlinear systems
- Force and Moment based Approach
- Energy based approach Extended Hamilton’s principle and Lagrange Priciple
- Derivation of Equation of motion of nonlinear discrete system (More examples)
- Derivation of Equation of motion of nonlinear continuous system 1
- Derivation of Equation of motion of nonlinear continuous system 2
- Ordering of nonlinear Equation of motion
- Qualitative Analysis Straight forward expansion
- Numerical method Straight forward expansion
- Lindstedt Poincare’ technique
- Method of multiple scales
- Method of Harmonic balance
- Method of averaging
- Generalized Method of averaging
- Krylov-Bogoliubov-Mitropolski technique
- Incremental harmonic balance method and Intrinsic multiple scale harmonic balance method
- Modified Lindstedt Poincare’ technique
- Stability and Bifurcation of Fixed-point response 1
- Stability and Bifurcation of Fixed-point response 2
- Stability and Bifurcation of Fixed-point response 3
- Stability and Bifurcation of Fixed-point response 4
- Stability Analysis of Periodic response
- Bifurcation of Periodic response And Introduction to quasi-periodic and Chaotic response
- Quasi-Periodic and Chaotic response
- Numerical methods to obtain roots of characteristic equation and time response
- Numerical methods to obtain time response
- Numerical methods to obtain frequency response
- Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
- Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities: effect of damping
- Free Vibration of multi- degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities
- Forced nonlinear Vibration Single degree of freedom Nonlinear systems with Cubic nonlinearities:
- Forced nonlinear Vibration Single and multi- degree of freedom Nonlinear systems
- Nonlinear Forced-Vibration of Single and Multi Degree-of-Freedom System
- Analysis of Multi- degree of freedom system
- Nonlinear Vibration of Parametrically excited system: Axially loaded sandwich beam
- Nonlinear Vibration of Parametrically excited system: Elastic and Magneto-elastic beam
- Nonlinear Vibration of Parametrically excited system with internal resonance