Learn · Vibration of Continuous Systems

Lecture 31 of 38week-10

Lec 31: Rayleigh-Ritz method for vibration analysis

Prof. Sudip Talukdar · IIT Guwahati

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Vibration of Continuous Systems, IIT Guwahati (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

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