# Vibration of Continuous Systems

- Institution: IIT Guwahati
- Department: Civil Engineering
- Teacher: Prof. Sudip Talukdar
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/105103221)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/105103221)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lec 1: General Introduction and Modelling of Dynamic Systems](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd) (Video)
2. [Lec 2: Time Domain Analysis of Linear System - Harmonic input](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160) (Video)
3. [Lec 3: Time Domain Analysis of Linear System – Arbitrary Input](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069) (Video)
4. [Lec 4: Transformed technique in vibration of linear system](https://invisiblenetwork.ai/learn/nptel/105103221/59b844190464) (Video)
5. [Lec 1: Formulation of problem: Equilibrium Approach](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-2) (Video)
6. [Lec 2: Formulation of problem by Energy Principle](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-2) (Video)
7. [Lec 3: Hamilton’s principles for formulating vibration problems](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-2) (Video)
8. [Lec 4: Lagrange’s equation for formulating vibration problems](https://invisiblenetwork.ai/learn/nptel/105103221/59b844190464-2) (Video)
9. [Lec 5: One Dimensional Wave Equation](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-3) (Video)
10. [Lec 6: D-Alembert’s Solution of the Wave Equation](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-3) (Video)
11. [Lec 7: Transverse Vibration of String](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-3) (Video)
12. [Lec 8: Forced Transverse Vibration of String](https://invisiblenetwork.ai/learn/nptel/105103221/59b844190464-3) (Video)
13. [Lec 9: Axial Vibration of Bar](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-4) (Video)
14. [Lec 10: Torsional Vibration of Bar](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-4) (Video)
15. [Lec 11: Some typical problems in axial and torsional vibrations](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-4) (Video)
16. [Lec 12: Transverse vibration of beams](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-5) (Video)
17. [Lec 13: Natural frequencies and mode shapes of beams with various end conditions](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-5) (Video)
18. [Lec 14: Free damped transverse vibration analysis of beam](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-5) (Video)
19. [Lec 15: Forced damped vibration analysis of Euler Bernoulli beam](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-6) (Video)
20. [Lec 16: Vibration of beams subjected to moving load](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-6) (Video)
21. [Lec 17: Some special topics on the transverse vibration of beam](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-6) (Video)
22. [Lec 18: Combination of continuous and lumped parameter system](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-7) (Video)
23. [Lec 19 : State space solutions in vibration problems](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-7) (Video)
24. [Lec 20: Beam with moving oscillator, pulstating force and rolling mass](https://invisiblenetwork.ai/learn/nptel/105103221/26e068404069-7) (Video)
25. [Lec 21: Vibration of membrane](https://invisiblenetwork.ai/learn/nptel/105103221/651bc0aa9edd-8) (Video)
26. [Lec 22: Vibration of Circular membrane](https://invisiblenetwork.ai/learn/nptel/105103221/b9c17e7bf160-8) (Video)
27. [Lec 27: Vibration of Rectangular plate](https://invisiblenetwork.ai/learn/nptel/105103221/32c999eb67fe) (Video)
28. [Lec 28: Free vibration of rectangular plates](https://invisiblenetwork.ai/learn/nptel/105103221/eac2bba4528c) (Video)
29. [Lec 29: Forced vibration of rectangular plates](https://invisiblenetwork.ai/learn/nptel/105103221/a97956b17fe4) (Video)
30. [Lec 30: Approximate method for vibration analysis](https://invisiblenetwork.ai/learn/nptel/105103221/0f609939e28e) (Video)
31. [Lec 31: Rayleigh-Ritz method for vibration analysis](https://invisiblenetwork.ai/learn/nptel/105103221/f26ef1807126) (Video)
32. [Lec 32: Gallerkin's method and Finite difference method](https://invisiblenetwork.ai/learn/nptel/105103221/130e0c8c0dc2) (Video)
33. [Lec 33: System subjected to support excitation](https://invisiblenetwork.ai/learn/nptel/105103221/99edc44214db) (Video)
34. [Lec 34: Response of continuous systems to transient excitations](https://invisiblenetwork.ai/learn/nptel/105103221/10bb1eddfe38) (Video)
35. [Lec 35: Shock spectrum due to half sine pulse](https://invisiblenetwork.ai/learn/nptel/105103221/d659e056829e) (Video)
36. [Lec 36: Numerical Evaluation of Duhamel Integral](https://invisiblenetwork.ai/learn/nptel/105103221/b240dfa3f816) (Video)
37. [Lec 37: Direct Integration Methods](https://invisiblenetwork.ai/learn/nptel/105103221/c959684e3473) (Video)
38. [Lec 38: Spectral Analysis of structures for earthquake excitation](https://invisiblenetwork.ai/learn/nptel/105103221/b1d635aaaa39) (Video)