Toggle navigation
About us
Courses
Contact us
Courses
Mechanical Engineering
Nonlinear Vibration (Video)
Syllabus
Co-ordinated by :
IIT Guwahati
Available from :
2014-03-13
Lec :
1
Modules / Lectures
Introduction
Introduction of Nonlinear systems
Review of Linear vibrating systems
Phenomena associated with Nonlinear systems
Commonly observed Phenomena in Nonlinear systems
Derivation of nonlinear equation of motion
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
Solution of Nonlinear Equations of motions
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 Analysis of Nonlinear Systems
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
Numerical methods to obtain roots of characteristic equation and time response
Numerical methods to obtain time response
Numerical methods to obtain frequency response
Applications
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
Watch on YouTube
Assignments
Transcripts
Books
English
Show
10
25
50
100
entries
Search:
Sl.No
Chapter Name
English
1
Introduction of Nonlinear systems
PDF unavailable
2
Review of Linear vibrating systems
PDF unavailable
3
Phenomena associated with Nonlinear systems
PDF unavailable
4
Commonly observed Phenomena in Nonlinear systems
PDF unavailable
5
Force and Moment based Approach
PDF unavailable
6
Energy based approach Extended Hamilton’s principle and Lagrange Priciple
PDF unavailable
7
Derivation of Equation of motion of nonlinear discrete system (More examples)
PDF unavailable
8
Derivation of Equation of motion of nonlinear continuous system 1
PDF unavailable
9
Derivation of Equation of motion of nonlinear continuous system 2
PDF unavailable
10
Ordering of nonlinear Equation of motion
PDF unavailable
Showing 1 to 10 of 40 entries
Previous
1
2
3
4
Next
Sl.No
Language
Book link
1
English
Not Available
2
Bengali
Not Available
3
Gujarati
Not Available
4
Hindi
Not Available
5
Kannada
Not Available
6
Malayalam
Not Available
7
Marathi
Not Available
8
Tamil
Not Available
9
Telugu
Not Available