# Finite Element method for vibration and Stability analyses

- Institution: IISc Bangalore
- Department: Civil Engineering
- Teacher: Prof. C.S. Manohar
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/105108141)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/105108141)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Equations of motion using Hamilton’s principle](https://invisiblenetwork.ai/learn/nptel/105108141/9d522c10da6e) (Video)
2. [Equations of motion for continuous systems and Rayleigh’s quotient](https://invisiblenetwork.ai/learn/nptel/105108141/77bf7c5ec648) (Video)
3. [Rayleigh Ritz method and method of weighted residuals](https://invisiblenetwork.ai/learn/nptel/105108141/75a91d19db31) (Video)
4. [FEM: motivations. Analysis of axially vibrating rods and Euler-Bernoulli beams](https://invisiblenetwork.ai/learn/nptel/105108141/ee9ddb4519ae) (Video)
5. [Beam elements. Reference systm. Assembly of matrices. Imposition of BCS. Final equation of motion.](https://invisiblenetwork.ai/learn/nptel/105108141/98800dbdd2c7) (Video)
6. [FE modelling of planar structures](https://invisiblenetwork.ai/learn/nptel/105108141/fe481eb1ad02) (Video)
7. [FE modelling of planar structures (continued)](https://invisiblenetwork.ai/learn/nptel/105108141/62fba962951d) (Video)
8. [FRF-s and damping models-1](https://invisiblenetwork.ai/learn/nptel/105108141/a2287c7399af) (Video)
9. [FRF-s and damping models-2](https://invisiblenetwork.ai/learn/nptel/105108141/05613826f54b) (Video)
10. [Material damping models. Dynamic stiffness and transfer matrices](https://invisiblenetwork.ai/learn/nptel/105108141/9bda0973ba29) (Video)
11. [Twisting of circular bars and rectangular bars. Analysis of grids](https://invisiblenetwork.ai/learn/nptel/105108141/6d7a8451dd1b) (Video)
12. [3D frames](https://invisiblenetwork.ai/learn/nptel/105108141/c8a30e3c24e4) (Video)
13. [Mathematical preliminaries and terminologies; Euler’s forward and backward difference methods.](https://invisiblenetwork.ai/learn/nptel/105108141/21231246237b) (Video)
14. [Forward and backward Euler method. Central difference method](https://invisiblenetwork.ai/learn/nptel/105108141/b5a7960ff995) (Video)
15. [Second order implicit methods](https://invisiblenetwork.ai/learn/nptel/105108141/fd765bc108ff) (Video)
16. [Energy conservation. Nonlinear systems.](https://invisiblenetwork.ai/learn/nptel/105108141/2a557540d8d2) (Video)
17. [Model reduction schemes](https://invisiblenetwork.ai/learn/nptel/105108141/f02040e0b187) (Video)
18. [Substructuring schemes](https://invisiblenetwork.ai/learn/nptel/105108141/cebbd7bc02c8) (Video)
19. [Plane stress models](https://invisiblenetwork.ai/learn/nptel/105108141/5b5ec40a6635) (Video)
20. [Plane stress models (continued)](https://invisiblenetwork.ai/learn/nptel/105108141/b794dfc31b12) (Video)
21. [3d Solid element](https://invisiblenetwork.ai/learn/nptel/105108141/d112aad6943d) (Video)
22. [Axisymmetric models. Plate bending elements.](https://invisiblenetwork.ai/learn/nptel/105108141/68e0b627da14) (Video)
23. [Plate bending elements (continued)](https://invisiblenetwork.ai/learn/nptel/105108141/a4b3f888974a) (Video)
24. [Plate bending elements (continued).](https://invisiblenetwork.ai/learn/nptel/105108141/3efb01532b9d) (Video)
25. [Plate bending elements \[continued\]](https://invisiblenetwork.ai/learn/nptel/105108141/da3db65d5a0e) (Video)
26. [Introduction](https://invisiblenetwork.ai/learn/nptel/105108141/f2ebca6d295c) (Video)
27. [Introduction (continued)](https://invisiblenetwork.ai/learn/nptel/105108141/29db85b68cab) (Video)
28. [Nonlinear dynamical systems, fixed points and bifurcations](https://invisiblenetwork.ai/learn/nptel/105108141/6d97ca16013f) (Video)
29. [Energy methods in stability analysis](https://invisiblenetwork.ai/learn/nptel/105108141/a6f0c112e86e) (Video)
30. [FEM for stability analysis. Euler-Bernoulli beam and general formulations](https://invisiblenetwork.ai/learn/nptel/105108141/931fdb909b93) (Video)
31. [3D beam element; plate element; imperfection sensitive structures; beams on elastic foundations; rings and arches.](https://invisiblenetwork.ai/learn/nptel/105108141/130e4df5ea44) (Video)
32. [Dynamic analysis of stability and analysis of time varying systems](https://invisiblenetwork.ai/learn/nptel/105108141/f172a18109bd) (Video)
33. [Dynamic analysis of stability and analysis of time varying systems.](https://invisiblenetwork.ai/learn/nptel/105108141/eb451e1ceb1e) (Video)
34. [FE modelling of vehicle structure interactions](https://invisiblenetwork.ai/learn/nptel/105108141/06390b1c8f95) (Video)
35. [Inverse response sensitivity analysis](https://invisiblenetwork.ai/learn/nptel/105108141/d3eb3b4b2f8e) (Video)
36. [Inverse response sensitivity analysis (continued)](https://invisiblenetwork.ai/learn/nptel/105108141/97670837e90f) (Video)
37. [Introduction and review of continuum mechanics](https://invisiblenetwork.ai/learn/nptel/105108141/b335b5d502d4) (Video)
38. [Review of measures of strain and stress; balance laws.](https://invisiblenetwork.ai/learn/nptel/105108141/66dcacf28692) (Video)
39. [Total and updated Lagrangian formulations](https://invisiblenetwork.ai/learn/nptel/105108141/8308b3cb4051) (Video)
40. [Closure](https://invisiblenetwork.ai/learn/nptel/105108141/7a78e1300d4f) (Video)