# Nonlinear Vibration

- Institution: IIT Guwahati
- Department: Mechanical Engineering
- Teacher: Prof. S.K. Dwivedy
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112103023)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112103023)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction of Nonlinear systems](https://invisiblenetwork.ai/learn/nptel/112103023/6c5ac46c6518) (Video)
2. [Review of Linear vibrating systems](https://invisiblenetwork.ai/learn/nptel/112103023/4767ba9fb3e4) (Video)
3. [Phenomena associated with Nonlinear systems](https://invisiblenetwork.ai/learn/nptel/112103023/9ab9ce5e327e) (Video)
4. [Commonly observed Phenomena in Nonlinear systems](https://invisiblenetwork.ai/learn/nptel/112103023/1117ea6f820d) (Video)
5. [Force and Moment based Approach](https://invisiblenetwork.ai/learn/nptel/112103023/eba7383dad59) (Video)
6. [Energy based approach Extended Hamilton’s principle and Lagrange Priciple](https://invisiblenetwork.ai/learn/nptel/112103023/8413b77a3b7f) (Video)
7. [Derivation of Equation of motion of nonlinear discrete system (More examples)](https://invisiblenetwork.ai/learn/nptel/112103023/cbf9a8c9406f) (Video)
8. [Derivation of Equation of motion of nonlinear continuous system 1](https://invisiblenetwork.ai/learn/nptel/112103023/eaa7128e9644) (Video)
9. [Derivation of Equation of motion of nonlinear continuous system 2](https://invisiblenetwork.ai/learn/nptel/112103023/0be7af64e1c5) (Video)
10. [Ordering of nonlinear Equation of motion](https://invisiblenetwork.ai/learn/nptel/112103023/f93b55a6ad4c) (Video)
11. [Qualitative Analysis Straight forward expansion](https://invisiblenetwork.ai/learn/nptel/112103023/15eb228c0cac) (Video)
12. [Numerical method Straight forward expansion](https://invisiblenetwork.ai/learn/nptel/112103023/7ecde661824f) (Video)
13. [Lindstedt Poincare’ technique](https://invisiblenetwork.ai/learn/nptel/112103023/b6fcaae09088) (Video)
14. [Method of multiple scales](https://invisiblenetwork.ai/learn/nptel/112103023/f1b8796d6588) (Video)
15. [Method of Harmonic balance](https://invisiblenetwork.ai/learn/nptel/112103023/107de7f4c836) (Video)
16. [Method of averaging](https://invisiblenetwork.ai/learn/nptel/112103023/9400c4b02cd0) (Video)
17. [Generalized Method of averaging](https://invisiblenetwork.ai/learn/nptel/112103023/24cd1c409985) (Video)
18. [Krylov-Bogoliubov-Mitropolski technique](https://invisiblenetwork.ai/learn/nptel/112103023/b1ac2ecd6f71) (Video)
19. [Incremental harmonic balance method and Intrinsic multiple scale harmonic balance method](https://invisiblenetwork.ai/learn/nptel/112103023/78336811ff83) (Video)
20. [Modified Lindstedt Poincare’ technique](https://invisiblenetwork.ai/learn/nptel/112103023/6c0c2362e5ad) (Video)
21. [Stability and Bifurcation of Fixed-point response 1](https://invisiblenetwork.ai/learn/nptel/112103023/f37dbbde6f2b) (Video)
22. [Stability and Bifurcation of Fixed-point response 2](https://invisiblenetwork.ai/learn/nptel/112103023/b5383e58e238) (Video)
23. [Stability and Bifurcation of Fixed-point response 3](https://invisiblenetwork.ai/learn/nptel/112103023/12398b87fdb2) (Video)
24. [Stability and Bifurcation of Fixed-point response 4](https://invisiblenetwork.ai/learn/nptel/112103023/94ada7f83956) (Video)
25. [Stability Analysis of Periodic response](https://invisiblenetwork.ai/learn/nptel/112103023/91e09ffbab60) (Video)
26. [Bifurcation of Periodic response And Introduction to quasi-periodic and Chaotic response](https://invisiblenetwork.ai/learn/nptel/112103023/5281f6f0853a) (Video)
27. [Quasi-Periodic and Chaotic response](https://invisiblenetwork.ai/learn/nptel/112103023/2efdafe27e19) (Video)
28. [Numerical methods to obtain roots of characteristic equation and time response](https://invisiblenetwork.ai/learn/nptel/112103023/ba7111bbff93) (Video)
29. [Numerical methods to obtain time response](https://invisiblenetwork.ai/learn/nptel/112103023/ee8b41d253ca) (Video)
30. [Numerical methods to obtain frequency response](https://invisiblenetwork.ai/learn/nptel/112103023/8cf651ec29b0) (Video)
31. [Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities](https://invisiblenetwork.ai/learn/nptel/112103023/7995f8bbc7dd) (Video)
32. [Free Vibration of Single degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities: effect of damping](https://invisiblenetwork.ai/learn/nptel/112103023/d55c0ffc33bf) (Video)
33. [Free Vibration of multi- degree of freedom Nonlinear systems with Cubic and quadratic nonlinearities](https://invisiblenetwork.ai/learn/nptel/112103023/1df509940562) (Video)
34. [Forced nonlinear Vibration Single degree of freedom Nonlinear systems with Cubic nonlinearities:](https://invisiblenetwork.ai/learn/nptel/112103023/48bb0189c6e6) (Video)
35. [Forced nonlinear Vibration Single and multi- degree of freedom Nonlinear systems](https://invisiblenetwork.ai/learn/nptel/112103023/df33df3be808) (Video)
36. [Nonlinear Forced-Vibration of Single and Multi Degree-of-Freedom System](https://invisiblenetwork.ai/learn/nptel/112103023/f1dcb465f0c9) (Video)
37. [Analysis of Multi- degree of freedom system](https://invisiblenetwork.ai/learn/nptel/112103023/f4b5137155af) (Video)
38. [Nonlinear Vibration of Parametrically excited system: Axially loaded sandwich beam](https://invisiblenetwork.ai/learn/nptel/112103023/74257c78ee75) (Video)
39. [Nonlinear Vibration of Parametrically excited system: Elastic and Magneto-elastic beam](https://invisiblenetwork.ai/learn/nptel/112103023/1631c3eeba1e) (Video)
40. [Nonlinear Vibration of Parametrically excited system with internal resonance](https://invisiblenetwork.ai/learn/nptel/112103023/799fa1f9ea47) (Video)