Derivation of Equations of Motion, Influence Coefficient Method 
Derivation of Equations of Motion, Influence Coefficient Method by IIT Guwahati / Rajiv Tiwari
◀ ← Video Lecture 19 of 40 → ▶
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Views: 3,609
Date Added: July 13, 2011

Lecture Description

This video lecture, part of the series Mechanical Vibrations by Prof. Rajiv Tiwari, does not currently have a detailed description and video lecture title. If you have watched this lecture and know what it is about, particularly what Mechanical Engineering topics are discussed, please help us by commenting on this video with your suggested description and title. Many thanks from,

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Course Index

  1. Overview of the Course, Practical and Research Trends
  2. Harmonic and Periodic Motions, Vibration Terminology
  3. Vibration Model, Equation of Motion-Natural Frequency
  4. Energy Method, Principle of Virtual Work
  5. Viscously Damped Free Vibration Special Cases: Oscillatory, non-Oscillatory and Critically Damped Motions
  6. Logarithmic Decrement Experimental Determination of Damping Coefficient Hystersis Loop
  7. Coulomb Damping other Damping Models
  8. Forced Harmonic Vibration, Magnification Factor
  9. Laplace Transform, Superposition Theorem
  10. Rotor Unbalance and Whirling of Shaft, Transmissibility
  11. Support Motion, Vibration Isolation
  12. Sharpness of Resonance, Vibration Measuring Instruments
  13. Generalized and Principle Coordinates, Derivation of Equation of Motion
  14. Lagranges's Equation
  15. Coordinate Coupling
  16. Forced Harmonic Vibration
  17. Tuned Absorber, Determination of Mass Ratio
  18. Tuned and Damped Absorber, Untuned Viscous Damper
  19. Derivation of Equations of Motion, Influence Coefficient Method
  20. Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem
  21. Modal Analysis: Undamped
  22. Modal Analysis: Damped
  23. Simple Systems With One Two or Three Discs Geared System
  24. Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System
  25. Derivation of Equations of Motion (Part I) and Hamilton's Principle
  26. Derivation of Equations of Motion (Part II) and Hamilton's Principle
  27. Vibration of Strings
  28. Longitudinal and Torsional Vibration of Rods
  29. Transverse Vibration of Beams, Equations of Motion and Boundary Conditions
  30. Transverse Vibration of Beams: Natural Frequencies and Mode Shapes
  31. Rayleigh's Energy Method
  32. Matrix Iteration Method
  33. Durkerley, Rayleigh-Ritz and Galerkin Method
  34. Finite Element Formulation for Rods, Gear Train and Branched System
  35. Finite Element Formulation for Beams
  36. Global Finite Element Assembly and Imposition of Boundary Conditions and Solution Procedure
  37. Vibration Testing Equipments: Signal Measurements
  38. Vibration Testing Equipments: Signal Analysis
  39. Field Balancing of Rotors
  40. Condition Monitoring

Course Description

In this course, Prof.Rajiv Tiwari gives 40 video lectures on Mechanical Vibrations.

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