# 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/112103300)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112103300)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [What is MATLAB?](https://invisiblenetwork.ai/learn/nptel/112103300/f2754caeb12d) (Video)
2. [What is Simulink?](https://invisiblenetwork.ai/learn/nptel/112103300/8abe20b61f8b) (Video)
3. [Getting Started with MATLAB](https://invisiblenetwork.ai/learn/nptel/112103300/90d2050751f2) (Video)
4. [Introduction to Plotting](https://invisiblenetwork.ai/learn/nptel/112103300/eff04ed67a09) (Video)
5. [Calculations with Matrices](https://invisiblenetwork.ai/learn/nptel/112103300/c4f09f9b9328) (Video)
6. [Calculating Eigenvalues and Eigenvectors](https://invisiblenetwork.ai/learn/nptel/112103300/14eded3d6297) (Video)
7. [MATLAB Variables](https://invisiblenetwork.ai/learn/nptel/112103300/6d13811c470a) (Video)
8. [MATLAB Functions](https://invisiblenetwork.ai/learn/nptel/112103300/9d0656b3b6c7) (Video)
9. [Logical Variables](https://invisiblenetwork.ai/learn/nptel/112103300/23256e51e34c) (Video)
10. [If-Else Statements](https://invisiblenetwork.ai/learn/nptel/112103300/7378d18238f4) (Video)
11. [Writing a FOR Loop](https://invisiblenetwork.ai/learn/nptel/112103300/29825a35a9c2) (Video)
12. [Numerically Solving Systems of First Order ODEs](https://invisiblenetwork.ai/learn/nptel/112103300/49bf93311060) (Video)
13. [Solving Systems of Linear Equations](https://invisiblenetwork.ai/learn/nptel/112103300/8212ac0172f6) (Video)
14. [Lec 1 : Introduction to mechanical systems](https://invisiblenetwork.ai/learn/nptel/112103300/5d5a1a9f53c0) (Video)
15. [Lec 2 : Superposition rule, Commonly used nonlinear equations](https://invisiblenetwork.ai/learn/nptel/112103300/58129a721607) (Video)
16. [Lec 3 : Equilibrium points: potential function](https://invisiblenetwork.ai/learn/nptel/112103300/63612b85be7a) (Video)
17. [Lec 4 : Force and moment based Approach, Lagrange Principle](https://invisiblenetwork.ai/learn/nptel/112103300/082971dd3110) (Video)
18. [Lec 5 : ExtendedHamilton’s principle](https://invisiblenetwork.ai/learn/nptel/112103300/d8bade5d400a) (Video)
19. [Lec 6 : Use of scaling and book-keeping parameter for ordering](https://invisiblenetwork.ai/learn/nptel/112103300/1684c28370d3) (Video)
20. [Lec 13 : Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity](https://invisiblenetwork.ai/learn/nptel/112103300/3948f82daa9c) (Video)
21. [Lec 14: Super and sub harmonic resonance conditions](https://invisiblenetwork.ai/learn/nptel/112103300/0a3881a70f3b) (Video)
22. [Lec 15 : Bifurcation analysis of fixed-point response](https://invisiblenetwork.ai/learn/nptel/112103300/98570118247f) (Video)
23. [Lec 16 : Nonlinear system with hard excitations](https://invisiblenetwork.ai/learn/nptel/112103300/8fa3e58e1871) (Video)
24. [Lec 17 : Super and sub harmonic resonance conditions](https://invisiblenetwork.ai/learn/nptel/112103300/112d3967d8b1) (Video)
25. [Lec 18 : Bifurcation analysis of fixed-point response](https://invisiblenetwork.ai/learn/nptel/112103300/bab85ccdea27) (Video)
26. [Lec 19: Floquet theory, Hill's infinite determinant, Resonance in parametrically excited systems](https://invisiblenetwork.ai/learn/nptel/112103300/917afc1e3bd2) (Video)
27. [Lect 20: Parametrically excited pneumatic artificial muscle](https://invisiblenetwork.ai/learn/nptel/112103300/05d4e6b473fa) (Video)
28. [Lect 21: Parametric instability of sandwich plate](https://invisiblenetwork.ai/learn/nptel/112103300/995452d4bdb7) (Video)
29. [Lec 22 : Analysis of periodic, quasi-periodic and chaotic systems](https://invisiblenetwork.ai/learn/nptel/112103300/e898259b93c1) (Video)
30. [Lec 23 : Stability and bifurcation analysis of periodic and quasi-periodic response](https://invisiblenetwork.ai/learn/nptel/112103300/7b283a58d6c6) (Video)
31. [Lec 24 : Analysis of chaotic system](https://invisiblenetwork.ai/learn/nptel/112103300/7c7656f3e62e) (Video)
32. [Lec 25 : Numerical methods for finding roots and solutions of ODE](https://invisiblenetwork.ai/learn/nptel/112103300/2331273663f4) (Video)
33. [Lec 26 : Time response, phase portraits, frequency response](https://invisiblenetwork.ai/learn/nptel/112103300/f10b09c562e2) (Video)
34. [Lec 27 : Poincare section, FFT, Lyapunov exponent](https://invisiblenetwork.ai/learn/nptel/112103300/499c8de5d577) (Video)
35. [Lec 28 : Passive and active vibration absorber with displacement and acceleration feedback](https://invisiblenetwork.ai/learn/nptel/112103300/906ea117eb66) (Video)
36. [Lec 29 : Active vibration absorber with time delay acceleration feedback by HBM](https://invisiblenetwork.ai/learn/nptel/112103300/7383795ba4af) (Video)
37. [Lec 30 : Application of Active vibration absorber with time delay combination feedbacks](https://invisiblenetwork.ai/learn/nptel/112103300/51adba86db10) (Video)
38. [Lec 31 : Cantilever beam with tip mass for principal parametric resonance](https://invisiblenetwork.ai/learn/nptel/112103300/7dbf72fde57e) (Video)
39. [Lec 32 : Cantilever beam with tip mass for combination resonance](https://invisiblenetwork.ai/learn/nptel/112103300/5c00ed3757dc) (Video)
40. [Lec 33 :Cantilever beam based piezoelectric based energy harvestor](https://invisiblenetwork.ai/learn/nptel/112103300/beab7bf4b361) (Video)
41. [Lec 34 : Nonlinear dynamics of turning operation with delay and internal resonance](https://invisiblenetwork.ai/learn/nptel/112103300/7606b6e57b36) (Video)
42. [Lec 35 : Chatter in rolling mills and dynamic analysis of artificial pneumatic muscle](https://invisiblenetwork.ai/learn/nptel/112103300/d8125ea0edfc) (Video)
43. [Lec 36 : Chaotic systems and control of chaos](https://invisiblenetwork.ai/learn/nptel/112103300/33489513a5cd) (Video)
44. [Live Session 24-03-2021](https://invisiblenetwork.ai/learn/nptel/112103300/f2754caeb12d-2) (Video)
45. [Live Session 31-03-2021](https://invisiblenetwork.ai/learn/nptel/112103300/8abe20b61f8b-2) (Video)
46. [Live Session 05-04-2021](https://invisiblenetwork.ai/learn/nptel/112103300/90d2050751f2-2) (Video)