非均质结构非平稳随机响应的快速算法  

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

作　　者：陈玉震 张盛[1] 陈飙松[1] 张洪武[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室运载工程与力学学部工程力学系,辽宁大连116024

出　　处：《振动与冲击》2015年第19期24-30,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11232003;91315302);国家基础性发展规划项目(2010CB832704);国家高技术研究发展计划(2012AA050901)资助;教育部博士点基金(20130041110050)

摘　　要：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。A fast computation was implemented for non-stationary random responses of heterogeneous material structures by applying the extended multiscale finite element method（ EMs FEM） into the time-domain explicit method（ TDEM）. Firstly,the fundamental principle of EMs FEM was presented. Then,the advantages of TDEM in non-stationary random response analysis were explored. Based on the explicit expressions of dynamic responses,the random response analysis was performed directly in time domain,it was shown that TDEM has good accuracy and efficiency compared with the response spectrum method. Finally,according to the characteristics and advantages of the two algorithms,a unified multiscale framework was proposed,it was applicable for non-stationary random response analysis of heterogeneous material structures. Numerical examples showed that the proposed method has high efficiency and accuracy.

关 键 词：非均质结构 非平稳随机振动 扩展多尺度有限元法 基函数 时域显式法 

分 类 号：TB122[理学—工程力学]