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Non-Linear Vibrations (20-263-781)

by zopeown — last modified 2007-04-24 06:43

Course Information

20-263-781: Non-Linear Vibrations

Course Syllabus

Non-Linear Vibrations Syllabus

Course Notes

 

Chapter 1 (Week 1)

Chapter 2 (Week 2)

Chapter 3 (Week 3)

Chapter 4 (Week 4)

Chapter 5 (Week 5)

Chapter 6 (Week 6)

Chapter 7 (Week 7)

Chapter 8 (Week 8)

Chapter 9 (Week 9)

Chapter 10 (Week 10)

References

  1. K. Carney, I. Yunis, K. Smith, and C. Y. Peng, 1997, Proceedings of the International Modal Analysis Conference, 2, 811-817. Nonlinear Dynamic Behavior in the Cassini Spacecraft Modal Survey.
  2. H. R. Busby, C. Nopporn, and R. Singh, 1986, Journal of Sound and Vibration, 180(3), 415-427. Experimental Modal Analysis of Non-Linear Systems: A Feasibility Study.
  3. R. M. Lin and D. J. Ewins, 1990, Proceedings of the International Modal Analysis Conference, 1, 358-364. On the Location of Structural Non-linearity from Modal Testing - A Feasibility Study.
  4. Y. Q. Hao, H. J. Rice, and J. A. Fitzpatrick, 1991, Proceedings of the International Modal Analysis Conference, 2, 1187-1192. Impulse Testing of Linear and Non-Linear Vibrating Systems.
  5. A. F. Vakakis, 1997, Mechanical Systems and Signal Processing, 11(1), 3-22. Non-Linear Normal Modes (NNMs) and Their Applications in Vibration Theory: An Overview.
  6. K. D. Dippery and S. W. Smith, 1997, Investigating Model Identification Procedures for Systems with Modal Interactions.
  7. M. Yar and J. K. Hammond, 1987, Journal of Sound and Vibration, 117(1), 161-172. Parameter Estimation for Hysteretic Systems.
  8. M. Simon and G. R. Tomlinson, 1984, Journal of Sound and Vibration, 96(4), 421-436. Use of the Hilbert Transform in Modal Analysis of Linear and Non-Linear Structures.
  9. K. Worden and C. R. Tomlinson, 1990, Proceedings of the International Modal Analysis Conference, 1, 121-130. The High-Frequency Behaviour of Frequency Response Functions and Its Effect on The Hilbert Transforms.
  10. H. N. Ozguven, M. Imregun, and B. Kuran, 1991, Proceedings of the International Modal Analysis Conference, 1, 644-650. Complex Modes Arising from Linear Identification of NonLinear Systems.
  11. K. S. Mohammad, K. Worden, and G. R. Tomlinson, 1992, Jonrnal of Sound and Vibration, 152(3), 471-499. Direct Parameter Estimation for Linear and Non-Linear Structures.
  12. S. Chen and S. A. Billings, 1989, International Journal of Control, 49(3), 1012-1032. Representations of Nonlinear Systems: The NARMAX Model.
  13. M. Korenberg, S. A. Billings, Y. P. Liu, and P. J. Mcllroy, 1988, International Journal of Control, 48(1), 193-210. Orthogonal Parameter Estimation Algorithm for Non-Linear Stochastic Systems.
  14. N. Thrane, 1984, Hewlett Packard Application Notes. The Hilbert Transform.
  15. M. Feldman, 1994, Mechanical Systems and Signal Processing, 8(2), 119-127. Non-linear System Vibration Analysis Using Hilbert Transform - I. Free Vibration Analysis Method “FREEVIB”.
  16. M. Feldman, 1997, International Modal Analysis Conference, 2, 1017-1022. Vibration Analysis of Non-Symmetric Elastic Force Systems Via the Hilbert Transform.
  17. W. J. Staszewski and J. E. Chance, 1997, International Modal Analysis Conference, 1, 1012-1016. Identification of Nonlinear Systems Using Wavelets - Experimental Study.
  18. K. Worden and G. R. Tomlinson, 1991, Proceedings of the International Modal Analysis Conference 1, 757-764. An Experimental Study of a Number of Nonlinear SDOF Systems Using the Restoring Force Surface Method.
  19. H. J. Rice and J. A. Fitzpatrick, 1991, Jonrnal of Sound and Vibration, 149(3), 397-411. A Procedure for the Identification of Linear and Non-Linear Multi-Degree-of-Freedom Systems.
  20. S. F. Masri and T. K. Caughey, 1979, Jonrnal of Applied Mechanics, 46, 533-447. A Nonparametric Identification Technique for Nonlinear Dynamic Systems.
  21. S. F. Masri, H. Sassi, and T. K. Caughey, 1982, Journal of Applied Mechanics, 49, 619-627. Nonparametric Identification of Nearly Arbitrary Nonlinear Systems.
  22. M. Xiaojiang, Y. Jingxia, and L. Piede, 1990, Proceedings of the International Modal Analysis Conference, 1, 685-698. Dynamical Tests of a Bearing Assembly and Nonlinear Analysis.
  23. D. M. Storer and G. R. Tomlinson, 1993, Mechanical Systems and Signal Processing, 1(2), 173-189. Recent Developments in the Measurement and Interpretation of Higher Order Transfer Functions from Non-Linear Structures.
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Software/Data Download (FTP)

Non-Linear Vibrations Software/Scripts/Data Download