基于分布源边界点法和伴随变量法的声学灵敏度分析

中国机械工程 ›› 2014, Vol. 25 ›› Issue (6): 789-794.

基于分布源边界点法和伴随变量法的声学灵敏度分析

陈剑;陈立涛;张炳荣

合肥工业大学,合肥,230009

出版日期:2014-03-26 发布日期:2014-04-11
基金资助:
国家自然科学基金资助项目(11004045)

Acoustic Sensitivity Analysis Using Distributed Source Boundary Point Method with Adjoint Variable Method

Chen Jian;Chen Litao;Zhang Bingrong

Hefei University of Technology,Hefei,230009

Online:2014-03-26 Published:2014-04-11
Supported by:
National Natural Science Foundation of China（No. 11004045）

摘要/Abstract

摘要：

针对实际中存在的设计变量多于目标函数的情况,提出了基于分布源边界点法和伴随变量法的声学灵敏度分析方法,并建立了其理论模型,推导了其计算公式。该方法能够避免声学灵敏度分析的直接求导法中边界条件的重复计算,减少了计算量,数值仿真的结果证明了基于分布源边界点法和伴随变量法的声学灵敏度分析方法的正确性。以箱体为对象，以其上盖板厚度为设计变量进行了实验研究,场点声压灵敏度实验值与计算值的对比证明了该方法的正确性。

关键词: 分布源边界点法, 直接求导法, 伴随变量法, 声学灵敏度

Abstract:

Against the situation that the number of performance measures was in general less than the number of design variables, acoustic sensitivity analysis based on the DSBPM with adjoint variable method was proposed, and an acoustic sensitivity model based on this method was established, and then calculation formulas were deduced. The proposed method can reduce computational costs significantly compared to the direct differentiation method, as the number of performance measures is in general less than the number of design variables, the correctness of this method was shown by the numerical simulation finally. An experiment of a vibrating box was investigated here, where the design variable was the thickness of the cover plate, comparison of the sensitivity results shows that the proposed method is correct.

Key words: distributed source boundary point method(DSBPM);direct differentiation , method;adjoint variable method;acoustic sensitivity

中图分类号:

TB532

陈剑, 陈立涛, 张炳荣. 基于分布源边界点法和伴随变量法的声学灵敏度分析[J]. 中国机械工程, 2014, 25(6): 789-794.

Chen Jian, Chen Litao, Zhang Bingrong . Acoustic Sensitivity Analysis Using Distributed Source Boundary Point Method with Adjoint Variable Method[J]. China Mechanical Engineering, 2014, 25(6): 789-794.

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