Media Storage Type : DVD-ROM
NPTEL Course Name : Nonlinear Vibration
NPTEL Subject Matter Expert : Prof. S.K. Dwivedy
NPTEL Co-ordinating Institute : IIT Guwahati
NPTEL Lecture Count : 42
Lecture Titles:
Lecture 1 - Introduction to nonlinear mechanical systems
Lecture 2 - Review on Linear Vibrating Systems
Lecture 3 - Qualitative analysis of nonlinear conservative system
Lecture 4 - Development of Equation of Motion for Nonlinear vibrating systems
Lecture 5 - Derivation of Equation of motion for Multi-degree of freedom systems
Lecture 6 - Derivation of the equation of motion of continuous system using dï¾’Alembertï¾’s principle
Lecture 7 - Derivation of equation of motion using Extended Hamiltonï¾’s Principle
Lecture 8 - Derivation of Equation of motion using Lagrange Principle
Lecture 9 - Development of temporal equation of motion using Galerkinï¾’s method for continuous system
Lecture 10 - Ordering and scaling technique in nonlinear equations
Lecture 11 - The straight forward expansion
Lecture 12 - The lindstedtpoincare' method
Lecture 13 - Modified lindstedtpoincareï¾’ technique
Lecture 14 - The method of multiple scales
Lecture 15 - Method of multiple scales applied to forced vibration
Lecture 16 - The method of harmonic balance
Lecture 17 - Method of averaging
Lecture 18 - Generalized method of averaging
Lecture 19 - Method of normal form
Lecture 20 - Incremental harmonic balance method
Lecture 21 - Intrinsic multiple scale harmonic balance method
Lecture 22 - Higher order method of multiple scales
Lecture 23 - Stability analysis of fixed point response
Lecture 24 - Bifurcation analysis of fixed point response
Lecture 25 - Stability analysis of Periodic response
Lecture 26 - Limit cycles and Bifurcation of Periodic Response
Lecture 27 - Quasi-periodic and Chaotic response
Lecture 28 - Review of numerical methods: Root finding and Solution of Deferential Equations
Lecture 29 - Methods of model reduction and continuation techniques
Lecture 30 - Poincare section, basin of attraction and Liapunov exponent
Lecture 31 - Free Vibration of Nonlinear Conservative system
Lecture 32 - Free vibration of nonlinear single degree of freedom conservative systems with quadratic and cubic nonlinearities
Lecture 33 - Free vibration of nonlinear single degree of freedom nonconservative systems
Lecture 34 - Free vibration of systems with negative damping
Lecture 35 - Forced Vibration of single degree of freedom system with cubic nonlinearities
Lecture 36 - System with non resonant hard excitations
Lecture 37 - Forced vibration Single-Degree of freedom system
Lecture 38 - Free and Forced vibration Multi-Degree of freedom system
Lecture 39 - Parametrically excited system
Lecture 40 - Multi-degree-of freedom parametrically excited system
Lecture 41 - Parametrically excited continuous system
Lecture 42 - Parametrically excited system with internal Resonance