Calculating periodic vibrations of nonlinear autonomous multi-degree-of-freedom systems by the incremental harmonic balance method

Nguyen Van Khang, Thai Manh Cau
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Authors

  • Nguyen Van Khang Hanoi University of Technology
  • Thai Manh Cau Hanoi University of Technology

DOI:

https://doi.org/10.15625/0866-7136/26/3/5700

Abstract

In this paper the incremental harmonic balance method is used to calculate periodic vibrations of nonlinear autonomous multip-degree-of-freedom systems. According to Floquet theory, the stability of a periodic solution is checked by evaluating the eigenvalues of the monodromy matrix. Using the programme MAPLE, the authors have studied the periodic vibrations of the system multi-degree van der Pol form.

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Published

01-10-2004

How to Cite

Khang, N. V., & Cau, T. M. (2004). Calculating periodic vibrations of nonlinear autonomous multi-degree-of-freedom systems by the incremental harmonic balance method. Vietnam Journal of Mechanics, 26(3), 157–166. https://doi.org/10.15625/0866-7136/26/3/5700

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Research Article

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