Uncertainty quantification and sensitivity analysis of package vibration reliability

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (3) : 204-211.

ZHU Dapeng, WEI Jie

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Abstract

Here, effects of package parameters uncertainty on its vibration reliability was studied, the sensitivity of reliability index to each package uncertain parameter was analyzed. Karhunen-Loeve expansion was used to express a stationary random vibration with certain spectral characteristics in the standard normal random variable space. The first-order reliability method was applied to analyze the vibration reliability index of linear package. Four random parameters of cushioning material elastic property, cushioning material damping one, elastic one between product main body and vulnerable parts, and damping one between product main body and vulnerable parts were considered. These parameters were converted with equal probability into equivalent standard normal random variables. According to Latin hypercube sampling principle, sampling was done in the four-dimensional standard normal random variable space, and numerical analysis was applied to study the reliability index’s changes. According to the probability distribution of the reliability index, the reasonable type of orthogonal chaotic polynomial was selected, and coefficients of the chaotic polynomial were analyzed using the non-embedding analysis method. After obtaining the polynomial chaos expansion expression of the reliability index, the global sensitivity of the reliability index was analyzed using Sobol method. An example analysis was given here. The uncertainty quantification process of the vibration reliability index using polynomial chaos expansion and analysis results of the reliability index were introduced.

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uncertainty quantification / reliability index / polynomial chaos expansion / global sensitivity / Sobol index analysis

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ZHU Dapeng, WEI Jie. Uncertainty quantification and sensitivity analysis of package vibration reliability[J]. Journal of Vibration and Shock, 2021, 40(3): 204-211

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