Package response characteristics analysis under non-Gaussian loads

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (2) : 100-107.

ZHU Dapeng1，WANG Haoran1，CAO Xingxiao2

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Abstract

In many cases, the package is excited by non-Gaussian random vibration loads, in circumstances where the packaging system optimization and package parameters optimization are performed, the package acceleration response statistical characteristics and vibration reliability needs to be determined repeatedly. Therefore, in this paper, an efficient and accurate analytical method is proposed to determine statistical characteristics of nonlinear package acceleration response. By use of non-Gaussian Karhunen-Loeve expansion, the stationary non-Gaussian random vibration is expressed as the linear combination of uncorrelated non-Gaussian random variables, the package acceleration response is approximated by first order Taylor expansion, the statistical characteristics of package acceleration response are determined analytically. The probability density function(PDF) and cumulative distribution function(CDF) of package acceleration response are determined using the saddlepoint approximation method, based on the first four statistical moments of package acceleration response. Since the linear combination of non-Gaussian variables is used to express the excitation, the nonlinear transformation of random variables is avoided, the first order Taylor expansion approximation for the response has good accuracy. The PDF and CDF of package response are determined analytically by use of saddlepoint approximation, the Monte Carlo(or Quasi Monte Carlo) simulations are avoided, the analysis efficiency is improved greatly.

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non-Gaussian random vibration / package response characteristics / non-Gaussian Karhunen-Loeve expansion / saddlepoint approximation method

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ZHU Dapeng1，WANG Haoran1，CAO Xingxiao2. Package response characteristics analysis under non-Gaussian loads[J]. Journal of Vibration and Shock, 2023, 42(2): 100-107

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