# Introduction to Mechanical Vibration

- Institution: IIT Roorkee
- Department: Mechanical Engineering
- Teacher: Prof. Anil Kumar
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112107212)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112107212)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Vibration is a common phenomenon occurring in a mechanical system. For example, vibration of a rotor due to unbalanced mass, vibration of a vehicle engine at varying speed. The study of a dedicated course is required to understand the fundamental and advance concepts of mechanical vibrations for engineers and designers. This course is of basic level. It introduces fundamentals of vibration, free and forced, undamped and damped vibration, vibration of single Degree of Freedom (DoF) system, 2-DoF and multi-DoF systems, theory of vibration absorbers and vibration instruments.

Intended audience: It is a Elective Course for UG students of Mechanical, Production, Automobile, Aerospace, Civil Engineering and equivalent.

Prerequisites: Completed first year of BE/BTech.

## Lectures

1. [Introduction](https://invisiblenetwork.ai/learn/nptel/112107212/4a376ebedb3b) (YouTube)
2. [Addition of two harmonic motions and beat phenomenon](https://invisiblenetwork.ai/learn/nptel/112107212/006220ff5cce) (YouTube)
3. [Fourier series and harmonic analysis](https://invisiblenetwork.ai/learn/nptel/112107212/9dc98a1b558e) (YouTube)
4. [Vibration analysis procedure](https://invisiblenetwork.ai/learn/nptel/112107212/711939ffcf58) (YouTube)
5. [Numerical problems](https://invisiblenetwork.ai/learn/nptel/112107212/dcc28c89b78c) (YouTube)
6. [Undamped free vibration](https://invisiblenetwork.ai/learn/nptel/112107212/aa66b99ece4d) (YouTube)
7. [Energy method](https://invisiblenetwork.ai/learn/nptel/112107212/405c9986c1d4) (YouTube)
8. [Damped free vibration](https://invisiblenetwork.ai/learn/nptel/112107212/214052b09f78) (YouTube)
9. [Viscous damped systems and logarithmic decrement](https://invisiblenetwork.ai/learn/nptel/112107212/afb71890d2fc) (YouTube)
10. [Coulomb damping](https://invisiblenetwork.ai/learn/nptel/112107212/f9c1a9acb06b) (YouTube)
11. [Harmonic excitations](https://invisiblenetwork.ai/learn/nptel/112107212/e1e6813824b0) (YouTube)
12. [Magnification factor and frequency response curve](https://invisiblenetwork.ai/learn/nptel/112107212/f69c3c2a647b) (YouTube)
13. [Rotating unbalance](https://invisiblenetwork.ai/learn/nptel/112107212/5f686d7f6e2f) (YouTube)
14. [Excitation of the support](https://invisiblenetwork.ai/learn/nptel/112107212/45407a6d410c) (YouTube)
15. [Energy input and dissipation by viscous damping](https://invisiblenetwork.ai/learn/nptel/112107212/6ff843e466ad) (YouTube)
16. [Coulomb damping and equivalent viscous damping](https://invisiblenetwork.ai/learn/nptel/112107212/059f970d3c8b) (YouTube)
17. [Structural damping and equivalent viscous damping](https://invisiblenetwork.ai/learn/nptel/112107212/7d63216e9d66) (YouTube)
18. [Vibration isolation and force transmissibility](https://invisiblenetwork.ai/learn/nptel/112107212/ccb70350117c) (YouTube)
19. [Motion transmissibility](https://invisiblenetwork.ai/learn/nptel/112107212/5b5fe88e4808) (YouTube)
20. [Numerical problems](https://invisiblenetwork.ai/learn/nptel/112107212/004315266d87) (YouTube)
21. [Transducers and vibration pickup](https://invisiblenetwork.ai/learn/nptel/112107212/40ccd92a42db) (YouTube)
22. [Vibrometer](https://invisiblenetwork.ai/learn/nptel/112107212/d1aa9d987e12) (YouTube)
23. [Accelerometer](https://invisiblenetwork.ai/learn/nptel/112107212/e2a10662aa24) (YouTube)
24. [Velocity pickup or Velometer](https://invisiblenetwork.ai/learn/nptel/112107212/7800aa474323) (YouTube)
25. [Phase distortion and frequency measurement](https://invisiblenetwork.ai/learn/nptel/112107212/368ca87c2283) (YouTube)
26. [Undamped free vibration](https://invisiblenetwork.ai/learn/nptel/112107212/1fb5dc5099be) (YouTube)
27. [Principal modes of vibration](https://invisiblenetwork.ai/learn/nptel/112107212/a5e4fc62ec04) (YouTube)
28. [Combined rectilinear and angular modes](https://invisiblenetwork.ai/learn/nptel/112107212/21c741cfe695) (YouTube)
29. [Damped free vibration](https://invisiblenetwork.ai/learn/nptel/112107212/b9fd92f1a2d7) (YouTube)
30. [Undamped forced vibration with harmonic excitation](https://invisiblenetwork.ai/learn/nptel/112107212/96d39ce3302a) (YouTube)
31. [Undamped dynamic vibration absorber](https://invisiblenetwork.ai/learn/nptel/112107212/4b5cb296b97b) (YouTube)
32. [Tuned absorber](https://invisiblenetwork.ai/learn/nptel/112107212/2b9bbb09c530) (YouTube)
33. [Numerical problems](https://invisiblenetwork.ai/learn/nptel/112107212/449828672d5a) (YouTube)
34. [Critical speed of shafts (Single rotor system)](https://invisiblenetwork.ai/learn/nptel/112107212/29bb25ac9327) (YouTube)
35. [Critical speed of shafts (Multi- rotor system)](https://invisiblenetwork.ai/learn/nptel/112107212/1b15ece9e6a7) (YouTube)
36. [Undamped free vibration](https://invisiblenetwork.ai/learn/nptel/112107212/fe91cb43cd35) (YouTube)
37. [Eigen values and eigen vectors](https://invisiblenetwork.ai/learn/nptel/112107212/b7b224612cc2) (YouTube)
38. [Flexibility influence coefficients](https://invisiblenetwork.ai/learn/nptel/112107212/4f24fde97e2d) (YouTube)
39. [Stiffness influence coefficients](https://invisiblenetwork.ai/learn/nptel/112107212/0df270ed4a66) (YouTube)
40. [Static and dynamic coupling](https://invisiblenetwork.ai/learn/nptel/112107212/7043530d902f) (YouTube)