A fast algorithm for non-stationary random response analysis of heterogeneous material structures

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (19) : 24-30.

CHEN Yuzhen, ZHANG Sheng, CHEN Biaosong, ZHANG Hongwu

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Abstract

A fast computation is implemented for non-stationary random response analysis of heterogeneous material structures by applying extended multiscale finite element method (EMsFEM) into time-domain explicit method(TDEM). Firstly, the fundamental principle of EMsFEM is illustrated. Then, the advantages of TDEM in non-stationary random response analysis are discussed. Based on the explicit expressions of dynamic responses, the random response analysis is performed directly in time domain, and TDEM has a good accuracy and efficiency which is compared with response spectrum method. Finally, according to the characteristics and advantages of the two algorithms, a unified multiscale framework is proposed, which is applicable for non-stationary random response analysis of heterogeneous material structures. Numerical examples show that the proposed method has high efficiency and accuracy.

Key words

heterogeneous material structures / non-stationary random response analysis / extended multiscale finite element method / base function / time-domain explicit method

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CHEN Yuzhen, ZHANG Sheng, CHEN Biaosong, ZHANG Hongwu. A fast algorithm for non-stationary random response analysis of heterogeneous material structures[J]. Journal of Vibration and Shock, 2015, 34(19): 24-30

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