非均质结构非平稳随机响应的快速算法

陈玉震, 张盛, 陈飙松, 张洪武

振动与冲击 ›› 2015, Vol. 34 ›› Issue (19) : 24-30.

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PDF(1820 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (19) : 24-30.
论文

非均质结构非平稳随机响应的快速算法

  • 陈玉震, 张盛, 陈飙松, 张洪武
作者信息 +

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

  • CHEN Yuzhen, ZHANG Sheng, CHEN Biaosong, ZHANG Hongwu
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文章历史 +

摘要

本文将扩展多尺度有限元法应用于非平稳随机振动时域显式法中,实现了对非均质结构非平稳随机响应的快速精确计算。首先,论文阐述了扩展多尺度有限元法基本原理。其次,探讨了时域显式法在非平稳随机响应分析中的优势。时域显式法基于动力响应显式表达式直接在时域进行随机振动分析,较传统反应谱法,具有良好的计算精度和计算效率。最后,根据两算法的特性和优势提出统一的多尺度算法框架,使其适用于非均质结构非平稳随机响应分析的快速求解。数值算例验证了该算法的高效性和精确性。

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.

关键词

非均质结构
/ 非平稳随机振动;展多尺度有限元法 / 基函数; 时域显式法

Key words

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

引用本文

导出引用
陈玉震, 张盛, 陈飙松, 张洪武. 非均质结构非平稳随机响应的快速算法[J]. 振动与冲击, 2015, 34(19): 24-30
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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