An interval analysis method based on statistical information for a multibody system with uncertainty

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (8) : 117-125.

CHEN Guangsong，QIAN Linfang，WANG Mingming，LIN Tong

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Abstract

In this paper, an interval method was proposed to analyze the multibody dynamic of a mechanical system with uncertainty.The input uncertain parameters of the system were described by interval.Only the upper and lower bounds of the input parameters were required, and the probability distribution was not needed.In order to effectively suppress the overestimation of the output parameters due to the inherent “wrapping effect” of the interval method in the dynamic analysis process, the maximal minimum distance Latin hypercube sampling (LHS) was used to get the sample.The first four order statistical moments of the output parameters were estimated by the bootstrap method.The distribution function of the output parameters was obtained by the maximal entropy method.Finally, the output parameters were evaluated by the Taylor expansion based on the distribution function.An example shows that the presented method can obtain the tightest interval of output parameter in the case of fewer samples.The validity of the method was verified by two typical dynamic uncertainties of the mechanical system, and the method was applied to an engineering problem in another example.

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Interval method / uncertainty / mechanical system / maximum entropy / multibody dynamic

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CHEN Guangsong，QIAN Linfang，WANG Mingming，LIN Tong. An interval analysis method based on statistical information for a multibody system with uncertainty[J]. Journal of Vibration and Shock, 2019, 38(8): 117-125

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