Calculation of nonlinear vibrations of piecewise-linear systems using the shooting method

Nguyen Van Khang, Hoang Manh Cuong, Nguyen Thai Minh Tuan
Author affiliations

Authors

  • Nguyen Van Khang Hanoi University of Science and Technology, Vietnam
  • Hoang Manh Cuong Hanoi University of Science and Technology, Vietnam
  • Nguyen Thai Minh Tuan Hanoi University of Science and Technology, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/34/3/2357

Keywords:

Nonlinear vibration, shooting method, numerical simulation, piecewise-linear system, Floquet stability

Abstract

In this paper, an explicit formulation of the shooting scheme for computation of multiple periodic attractors of a harmonically excited oscillator which is asymmetric with both stiffness and viscous damping piecewise linearities is derived. The numerical simulation by the shooting method is compared with that by the incremental harmonic balance method (IHB method), which shows that the shooting method is in many respects distinctively advantageous over the incremental harmonic balance method.

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Published

04-09-2012

Issue

Vol. 34 No. 3 (2012)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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