Time-varying stochastic response surface method for the time-varying reliability analysis of flexible mechanisms

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (2) : 253-258.

KAN Linjie1,2 ZHANG Jianguo1,2 WANG Pidong1,2

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Abstract

For the limit state analysis of flexible mechanisms with time varying,highly nonlinear and implicit characteristics,the time-varying stochastic response surface method for its time-varying reliability analysis was proposed.The component mode synthesis method was combined with the generalized polynomial chaos,and a time-varying stochastic response surface was established to obtain,the system responses and its statistical characteristics under the random parameters changing over the time.Comparing with the method of polynomial chaos expansion,the computational efficiency is improved.A time-varying reliability model for the mechanism motions was then established,and the Monte Carlo method specially for time-varying reliability analysis was provided.The effectiveness of the method was verified by the analysis of a two-link flexible manipulator.The results show that the method has high computational accuracy compared with the common Monte Carlo method.

Key words

flexible mechanism / time-varying reliability analysis / time-varying stochastic response surface / generalized polynomial chaos / component mode synthesis

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KAN Linjie1,2 ZHANG Jianguo1,2 WANG Pidong1,2. Time-varying stochastic response surface method for the time-varying reliability analysis of flexible mechanisms[J]. Journal of Vibration and Shock, 2019, 38(2): 253-258

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