• CN:11-2187/TH
  • ISSN:0577-6686

›› 2009, Vol. 45 ›› Issue (4): 177-182.

• 论文 • 上一篇    下一篇

基于波叠加的结构—声学灵敏度分析的伴随变量方法

张永斌;毕传兴;陈剑;陈心昭   

  1. 合肥工业大学噪声振动工程研究所
  • 发布日期:2009-04-15

Adjoint Variable Method for Structural-acoustic Sensitivity Analysis Based on Wave Superposition

ZHANG Yongbin;BI Chuanxing;CHEN Jian; CHEN Xinzhao   

  1. Institute of Sound and Vibration Research, Hefei University of Technology
  • Published:2009-04-15

摘要: 声学灵敏度可以用于描述空间声学量随设计变量的变化情况,并为低噪声设计提供优化方向和量化依据,对其进行研究具有重要意义。在多设计变量的情况下,与直接求导法相比,伴随变量法是一种效率更高的灵敏度计算方法。基于有限元法和波叠加法,提出一种新的用于结构—声学灵敏度计算的伴随变量方法。该方法用波叠加法取代了现有伴随分析方法中的边界元法,消除了奇异积分的影响。应用该方法对脉动球声源和箱体振动模型进行声学灵敏度分析,并将计算结果分别与理论值和有限差分结果进行比较,得到了较好的精度。通过与边界元法在计算时间上的比较,表明了该方法在计算效率上的优势。

关键词: 伴随变量方法, 波叠加, 声学灵敏度

Abstract: Research on the acoustic design sensitivity is significant for its ability to provide the optimized orientation for low noise design of radiating structures. When there are more than one design variables, the adjoint variable method is more efficient compared with the direct differentiation method. Based on finite element method and wave superposition approach, a new adjoint variable method is proposed. In this method, wave superposition approach replaces the boundary element method (BEM) used in the conventional adjoint method. Consequently, the restrictions in BEM such as singular integral are eliminated. Pulsating sphere and box model are analyzed using the proposed method, and the acoustic sensitivity results have better precision compared to the theoretical value and finite difference method. The advantage of computational efficiency is shown by the comparison of computational time with BEM.

Key words: Acoustic sensitivity, Adjoint variable method, Wave superposition

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