利用互易定理的混响声场数值模拟

王珺; 宁玮; 张景绘

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利用互易定理的混响声场数值模拟

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- 利用互易定理的混响声场数值模拟
- Numerical Simulation of Reverberant Acoustic Field Adopting Reciprocity Theorem
- 西安交通大学学报 2010年44卷第3期页码：110-114
- 作者机构：
  
  西安交通大学航天航空学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2009-08-21. 作者简介: 王珺(1983-),男,博士生;张景绘(联系人),男,教授,博士生导师. 基金项目:国防“973计划”资助项目(61355)
- DOI：
  中图分类号： O324
- 网络首发：2010-03-10，
  
  纸质出版：2010
- 稿件说明：
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王珺, 宁玮, 张景绘. 利用互易定理的混响声场数值模拟[J]. 西安交通大学学报, 2010,44(3):110-114.

Numerical Simulation of Reverberant Acoustic Field Adopting Reciprocity Theorem[J]. 2010, 44(3): 110-114.
王珺, 宁玮, 张景绘. 利用互易定理的混响声场数值模拟[J]. 西安交通大学学报, 2010,44(3):110-114. DOI：

Numerical Simulation of Reverberant Acoustic Field Adopting Reciprocity Theorem[J]. 2010, 44(3): 110-114. DOI：

摘要

运用有限元-边界元耦合的数值模拟方法

对航天器结构在发射飞行阶段的高强度噪声环境激励响应问题进行了研究.首先介绍了传统的构建混响声场的数值模拟方法; 其后利用声振耦合中的互易定理

将混响声场的激励问题转化为结构模型上力激励引起的场点声压响应问题

并采用随机分析原理

用谱分析方法推导了结构在混响声场激励下的响应计算公式; 最后建立了航天器典型结构的声振耦合模型

并分别用传统方法和利用互易定理的方法进行了数值模拟.结果表明:2种方法的仿真结果几乎完全吻合

而且相对于传统方法

利用互易定理的数值模拟方法可以显著减少求解的时间和存储计算文件的空间.

Abstract

Predicting noise-induced vibration from acoustic loads experienced in launch environment was investigated with the coupled finite element method and boundary element algorithm. The conventional numerical simulation of a reverberant field as a launch acoustic environment was introduced. Following the reciprocity theorem used in the coupled FE-BE model

the structural response due to reverberant acoustic excitation was substituted by the sound pressure caused by force excitation on the structure

then the output response power spectrum density of the coupled model subjected to reverberant environment was evaluated based on the stochastic analysis principle. To verify the accuracy and efficiency of the proposed method

it was used to simulate a force-excited structure. The simulation results were in good agreement with the solutions from the conventional methods.

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references

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飞行器仪器舱混响室声环境实验研究和数值模拟.西安交通大学学报, 2009,43(6):99-102,128.

用切比雪夫谱元方法求解均匀流场中的声传播问题.西安交通大学学报,2009,43(7):120-124.

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