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Random responses of a two-degree-of-freedom structure with strongly nonlinear coupling and parametric interaction

Acta Mechanica Sinica volume 9, pages 240–250 (1993)Cite this article

Abstract

This paper investigates the random responses of a TDOF structure with strongly nonlinear coupling and parametric vibration. With the nonlinear coupling of inertia in the equations of motion of the system being removed by successive elimination, the non-Gaussian moment equation method (NGM) is applied and 69 moment equations are integrated with central cumulative truncation technique. The stochastic central difference-cum-statistical linearization method(SCD-SL) and the digital simulation method(DSM) are also used. A comparison of results by different methods are given and the SCD-SL method is the most efficient method.

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Authors and Affiliations

  1. Beijing Agricultural Engineering University, 100083, Beijing, China

    Zhang Senwen, Chen Quifu & Zhao Honghui

Authors
  1. Zhang Senwen
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  2. Chen Quifu
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  3. Zhao Honghui
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The project supported by National Natural Science Foundation of China

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Senwen, Z., Quifu, C. & Honghui, Z. Random responses of a two-degree-of-freedom structure with strongly nonlinear coupling and parametric interaction. Acta Mech Sinica 9, 240–250 (1993). https://doi.org/10.1007/BF02486801

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  • DOI: https://doi.org/10.1007/BF02486801

Key Words

  • random response
  • nonlinear system
  • non-Gaussian moment equation method (NGM)
  • stochastic central difference-cum-statistical linearization method (SCD-SL)
  • digital simulation method (DSM)
  • central cummulative truncation technique
  • successive elimination