# Elements of Mechanical Vibration

- Institution: IIT Delhi
- Department: Aerospace Engineering
- Teacher: Prof. Ashish K Darpe
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/101102090)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/101102090)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

It is hard to imagine any mechanical/aerospace system that is not subjected to dynamic excitation force. The time-varying forces excite these machines/structures and manifests in their vibratory motion. The vibratory motion greatly influences the stresses and hence the durability and residual life of these complex systems, apart from generating undesired noise. The task for an engineer in designing these systems is ensuring a desired life. It is therefore necessary to develop insights into the vibration phenomenon, so that the issue of undesired vibration levels is addressed at the design stage itself. This course addresses the fundamentals of vibration theory with simple but practical examples with an emphasis on seeing the larger picture and interpreting the outcome of vibration analysis from the context of machinery or structural design. At the end of the course the student will be able to understand the process of modelling any practical vibratory system, its analysis and interpreting the results.

Intended audience: Senior Undergraduate / Post-graduate, doctoral students in aerospace or mechanical engineering, practicing engineers from industry willing to get a sound foundation in vibration engineering

Prerequisites: Basic exposure to Engineering Mechanics and Engineering Mathematics would be useful

## Lectures

1. [Introduction and Significance of Vibration Engineering](https://invisiblenetwork.ai/learn/nptel/101102090/c831030f0903) (YouTube)
2. [Parameters of Vibratory System](https://invisiblenetwork.ai/learn/nptel/101102090/26c61afff8c6) (YouTube)
3. [Undamped Free Vibrations](https://invisiblenetwork.ai/learn/nptel/101102090/b9e5476b6fca) (YouTube)
4. [Response to Initial Conditions](https://invisiblenetwork.ai/learn/nptel/101102090/b56c2f837fa0) (YouTube)
5. [Damped Free Vibrations](https://invisiblenetwork.ai/learn/nptel/101102090/f97783cd0b6a) (YouTube)
6. [Damping Models : Viscous and Structural Damping](https://invisiblenetwork.ai/learn/nptel/101102090/e73370024014) (YouTube)
7. [Damping Models : Coulomb Damping](https://invisiblenetwork.ai/learn/nptel/101102090/0185fca27829) (YouTube)
8. [Energy Methods](https://invisiblenetwork.ai/learn/nptel/101102090/83cd05863463) (YouTube)
9. [Modelling of Geared Rotors](https://invisiblenetwork.ai/learn/nptel/101102090/2397a916d01e) (YouTube)
10. [Response to Transient Excitation](https://invisiblenetwork.ai/learn/nptel/101102090/2cf302efea91) (YouTube)
11. [Response to Harmonic Excitation](https://invisiblenetwork.ai/learn/nptel/101102090/9c0a29a4f61e) (YouTube)
12. [Harmonic Excitation : Phase and Quality Factor](https://invisiblenetwork.ai/learn/nptel/101102090/a08f536b9392) (YouTube)
13. [Rotating Unbalance](https://invisiblenetwork.ai/learn/nptel/101102090/10efefc64b31) (YouTube)
14. [Base excitation and Transmissibility](https://invisiblenetwork.ai/learn/nptel/101102090/7a2dc65d1828) (YouTube)
15. [Force Transmissibility](https://invisiblenetwork.ai/learn/nptel/101102090/01ae6d273d54) (YouTube)
16. [Accelerometers and Response to Periodic Excitation](https://invisiblenetwork.ai/learn/nptel/101102090/862082a06815) (YouTube)
17. [Response to Periodic Excitation](https://invisiblenetwork.ai/learn/nptel/101102090/8925ec93742a) (YouTube)
18. [Campbell Diagram](https://invisiblenetwork.ai/learn/nptel/101102090/06e63f88b312) (YouTube)
19. [Introduction to Laboratory sessions](https://invisiblenetwork.ai/learn/nptel/101102090/07d64603e2ab) (YouTube)
20. [Experiment 1](https://invisiblenetwork.ai/learn/nptel/101102090/afdcf094e355) (YouTube)
21. [Experiment 2](https://invisiblenetwork.ai/learn/nptel/101102090/8f69ece903c4) (YouTube)
22. [Introduction to Two Degree of Freedom Systems](https://invisiblenetwork.ai/learn/nptel/101102090/89d1b284f200) (YouTube)
23. [2 DOF system : Concept of Mode Shapes](https://invisiblenetwork.ai/learn/nptel/101102090/7b5015f3d718) (YouTube)
24. [Response of a 2DOF system to initial disturbance](https://invisiblenetwork.ai/learn/nptel/101102090/6fea94076e00) (YouTube)
25. [Forced Vibration of a 2 DOF system](https://invisiblenetwork.ai/learn/nptel/101102090/50c05bdb331b) (YouTube)
26. [Vibration Absorber](https://invisiblenetwork.ai/learn/nptel/101102090/4abee2f4ba44) (YouTube)
27. [Tuned Mass Damper](https://invisiblenetwork.ai/learn/nptel/101102090/7a7d666a853c) (YouTube)
28. [LABORATORY SESSION 3](https://invisiblenetwork.ai/learn/nptel/101102090/8e4b8a8d25d9) (YouTube)
29. [LABORATORY SESSION 4](https://invisiblenetwork.ai/learn/nptel/101102090/d5a94ba17fa9) (YouTube)
30. [Transmissibility in MDOF systems](https://invisiblenetwork.ai/learn/nptel/101102090/1aaf3d07189a) (YouTube)
31. [Lateral Vibrations : Influence Coefficient Method](https://invisiblenetwork.ai/learn/nptel/101102090/10d2f3dc0532) (YouTube)
32. [Modal Analysis for MDOF systems, Orthogonality](https://invisiblenetwork.ai/learn/nptel/101102090/469c24d2cd28) (YouTube)
33. [LABORATORY SESSION 5](https://invisiblenetwork.ai/learn/nptel/101102090/becc96abbf68) (YouTube)
34. [LABORATORY SESSION 6](https://invisiblenetwork.ai/learn/nptel/101102090/0a8a56847680) (YouTube)
35. [Modal Analysis of undamped vibratory system](https://invisiblenetwork.ai/learn/nptel/101102090/5455cba917dd) (YouTube)
36. [Modal Analysis of damped vibratory system](https://invisiblenetwork.ai/learn/nptel/101102090/812e6cf46bb6) (YouTube)
37. [Orthogonality through an example](https://invisiblenetwork.ai/learn/nptel/101102090/af3f457624b7) (YouTube)
38. [Numerical Methods : Transfer Matrix Method](https://invisiblenetwork.ai/learn/nptel/101102090/813943db973a) (YouTube)
39. [Numerical Methods : Myklestad - Prohl Method](https://invisiblenetwork.ai/learn/nptel/101102090/9e83f07f7594) (YouTube)
40. [Numerical Methods : Finite Element Method](https://invisiblenetwork.ai/learn/nptel/101102090/3964f6d22728) (YouTube)
41. [LABORATORY SESSION 7](https://invisiblenetwork.ai/learn/nptel/101102090/ec04cdbf9ebf) (YouTube)
42. [LABORATORY SESSION 8](https://invisiblenetwork.ai/learn/nptel/101102090/a77131f23230) (YouTube)
43. [Continuous Systems : Stretched strings](https://invisiblenetwork.ai/learn/nptel/101102090/02cd104f3bd5) (YouTube)
44. [Continuous Systems : Response of a stretched string Vibrations of a bar](https://invisiblenetwork.ai/learn/nptel/101102090/356b06734985) (YouTube)
45. [Continuous Systems : Vibrations of a beam](https://invisiblenetwork.ai/learn/nptel/101102090/74ad968483ac) (YouTube)
46. [Condition Monitoring](https://invisiblenetwork.ai/learn/nptel/101102090/43f38a363abe) (YouTube)