考虑系统参数和载荷不确定性的声振分析  

Vibro-acoustic analysis with parameter and load uncertainties

作　　者：马厚标 段博强 秦朝红[2] 张亚辉[1] MA Hou-biao;DUAN Bo-qiang;QIN Zhao-hong;ZHANG Ya-hui(State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China;Science and Technology on Reliability and Environment Engineering Laboratory,Beijing Institute of Structure and Environment Engineering,Beijing 100076,China)

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024 [2]北京强度环境研究所可靠性与环境工程技术重点实验室,北京100076

出　　处：《强度与环境》2023年第1期38-46,共9页Structure & Environment Engineering

基　　金：基础研究项目;国家自然科学基金(12032008)。

摘　　要：为了准确描述随机性对声振系统响应的影响,本文基于单位分解有限元/有限元法和直接概率积分法实现了精确高效的随机声振分析。本文首先通过在声振耦合界面划分虚拟单元、实施坐标变换和引入精确积分方法,发展了新型单位分解有限元/有限元方法。然后将新方法的单元内捕捉波形信息的能力强、系统矩阵规模小、易于处理复数矩阵等优势和直接概率积分法需要重复计算的特点相结合,构建了精确高效的随机声振分析方案。数值算例分析表明,所提方案得到的统计特性均和蒙特卡洛模拟吻合很好,其能够进行可靠的随机响应分析。To accurately describe the effect of randomness on the response of vibro-acoustic systems, a stochastic vibro-acoustic analysis is achieved based on the partition of unity finite element/finite element method and the direct probability integration method. This paper first proposes the partition of unity finite element/finite element method by dividing virtual elements, implementing coordinate transformation and introducing the exact integration method. Then,this paper combines the advantages of the new efficient method, like strong ability of capturing waveform within the element, small size of the system matrices, and facilitation of handling complex matrices, with the property of the direct probability integral method, which requires repeated computations, to construct an accurate and efficient stochastic vibro-acoustic analysis scheme. Numerical examples show that the statistical properties obtained from the proposed scheme are in good agreement with the Monte Carlo simulation, which is capable of performing reliable stochastic response analysis.

关 键 词：声振问题 随机响应分析 单位分解有限元/有限元法 直接概率积分法 

分 类 号：V414.33[航空宇航科学与技术—航空宇航推进理论与工程]