Learn · Nonlinear Vibration

Lecture 17 of 46Week 3: Solution of Nonlinear Equation of Motion

Lec 4 : Force and moment based Approach, Lagrange Principle

Prof. S. K. Dwivedy · IIT Guwahati

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Nonlinear Vibration, 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. What is MATLAB? Video
  2. What is Simulink? Video
  3. Getting Started with MATLAB Video
  4. Introduction to Plotting Video
  5. Calculations with Matrices Video
  6. Calculating Eigenvalues and Eigenvectors Video
  7. MATLAB Variables Video
  8. MATLAB Functions Video
  9. Logical Variables Video
  10. If-Else Statements Video
  11. Writing a FOR Loop Video
  12. Numerically Solving Systems of First Order ODEs Video
  13. Solving Systems of Linear Equations Video
  14. Lec 1 : Introduction to mechanical systems Video
  15. Lec 2 : Superposition rule, Commonly used nonlinear equations Video
  16. Lec 3 : Equilibrium points: potential function Video
  17. Lec 4 : Force and moment based Approach, Lagrange Principle Video
  18. Lec 5 : ExtendedHamilton’s principle Video
  19. Lec 6 : Use of scaling and book-keeping parameter for ordering Video
  20. Lec 13 : Free vibration of undamped and damped SDOF systems with quadratic and cubic nonlinearity Video
  21. Lec 14: Super and sub harmonic resonance conditions Video
  22. Lec 15 : Bifurcation analysis of fixed-point response Video
  23. Lec 16 : Nonlinear system with hard excitations Video
  24. Lec 17 : Super and sub harmonic resonance conditions Video
  25. Lec 18 : Bifurcation analysis of fixed-point response Video
  26. Lec 19: Floquet theory, Hill's infinite determinant, Resonance in parametrically excited systems Video
  27. Lect 20: Parametrically excited pneumatic artificial muscle Video
  28. Lect 21: Parametric instability of sandwich plate Video
  29. Lec 22 : Analysis of periodic, quasi-periodic and chaotic systems Video
  30. Lec 23 : Stability and bifurcation analysis of periodic and quasi-periodic response Video
  31. Lec 24 : Analysis of chaotic system Video
  32. Lec 25 : Numerical methods for finding roots and solutions of ODE Video
  33. Lec 26 : Time response, phase portraits, frequency response Video
  34. Lec 27 : Poincare section, FFT, Lyapunov exponent Video
  35. Lec 28 : Passive and active vibration absorber with displacement and acceleration feedback Video
  36. Lec 29 : Active vibration absorber with time delay acceleration feedback by HBM Video
  37. Lec 30 : Application of Active vibration absorber with time delay combination feedbacks Video
  38. Lec 31 : Cantilever beam with tip mass for principal parametric resonance Video
  39. Lec 32 : Cantilever beam with tip mass for combination resonance Video
  40. Lec 33 :Cantilever beam based piezoelectric based energy harvestor Video
  41. Lec 34 : Nonlinear dynamics of turning operation with delay and internal resonance Video
  42. Lec 35 : Chatter in rolling mills and dynamic analysis of artificial pneumatic muscle Video
  43. Lec 36 : Chaotic systems and control of chaos Video
  44. Live Session 24-03-2021 Video
  45. Live Session 31-03-2021 Video
  46. Live Session 05-04-2021 Video