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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2002, Vol. 23 ›› Issue (3): 252-254.

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RELIABILITY ANALYSIS OF MULTI-DEGREE-OF-FREEDOM NONLINEAR VIBRATION SYSTEMS WITH INDEPENDENCE FAILURE MODES

ZHANG Yi-min1, WEN Bang-chun2   

  1. 1. Department of Mechanics, Jilin University, Changchun 130025, China;2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110006, China
  • Received:2001-06-07 Revised:2001-07-24 Online:2002-06-25 Published:2002-06-25

Abstract:

The reliability analysis of uncertain multi degree of freedom nonlinear vibration systems with independence failure modes subjected to random excitation is examined. A statistical fourth moment method is developed to determine the first four moments of the system response and state function. The distribution function of the system response and state function is approximately determined by the standard normal distribution functions using Edgeworth series, and its reliability is obtained.

Key words: random parameters, multi-degree-of-freedom nonlinear vibration systems, reliability, statisticalfourth-moment method, Edgeworth series