Equivalent Acoustic Transfer Vector Method for Analysis of Sound Field in Irregular Enclosure

Abstract

Abstract:

Equivalent acoustic transfer vector method for the analysis of sound field in irregular enclosure was developed. The sound field formed by the complex vibrating structure was replaced by the superposition of a series of virtual sources near the surface of the cavity, and the strength of those sources was obtained by matching the normal velocity on the surface. The connection between the normal velocity on the surface and the sound pressure at the interested point in the cavity was established, and the calculation formula of panel acoustic contribution was deduced. Compared with boundary element method, complicated numerical calculation and the singular integrals were avoided in the proposed method, and the calculation efficiency was improved. The simulation results show that the proposed method is correct and effective.

Key words: equivalent source method, acoustic transfer vector, irregular enclosure, panel acoustic contribution

摘要：

提出了一种用于封闭空腔内声场的计算方法——等效声传递向量法。采用位于腔体表面附近的若干虚构声源的叠加声场来等效由结构振动形成的封闭空腔声场，通过匹配振动结构表面上的法向振速获得虚构声源的源强，建立起结构表面的法向振速与腔体内场点声压的联系，并推导了结构面板声学贡献度的计算公式。计算过程避免了边界元法中复杂的数值计算和奇异积分的处理，提高了计算效率。仿真结果证明了该方法的正确性和有效性。

关键词: 等效源法, 声传递向量, 不规则封闭空腔, 面板声学贡献度

CLC Number:

TB535

Xiao Yue, Chen Jian, Jiang Fengxin. Equivalent Acoustic Transfer Vector Method for Analysis of Sound Field in Irregular Enclosure[J]. China Mechanical Engineering, 2014, 25(21): 2853-2859.

肖悦, 陈剑, 蒋丰鑫 . 封闭空腔内声场分析的等效声传递向量法[J]. 中国机械工程, 2014, 25(21): 2853-2859.

References

[1]朱才朝，秦大同，李润方. 车身结构振动与车内噪声声场耦合分析与控制[J]. 机械工程学报，2002，38(8)：54-58.
Zhu Caichao，Qin Datong，Li Runfang. Study on Coupling between Body Structure Dynamic and Interior Noise[J]. Chinese Journal of Mechanical Engineering，2002，38(8)：54-58.
[2]罗超，饶柱石，赵玫. 基于格林函数法的封闭声腔的结构-声耦合分析[J]. 振动工程学报，2004，17(3)：296-300.
Luo Chao，Rao Zhushi，Zhao Mei. Analysis of Structural-acoustic Coupling of an Enclosure Using Green Function Method[J]. Journal of Vibration Engineering，2004，17(3)：296-300.
[3]姚昊萍，张静. 具有弹性板的矩形封闭声腔结构-声耦合分析[J]. 中国机械工程，2012，23(20)：2434-2437.
Yao Haoping，Zhang Jing. Analysis of Structural-acoustic Coupling of a Panel in a Rectangular Enclosure[J]. China Mechanical Engineering，2012，23(20)：2434-2437.
[4]Nefske D J，Wolf J A，Howell L J. Structural-acoustic Finite Element Analysis of the Automobile Passenger Compartment: A Review of Current Practice[J]. Journal of Sound and Vibration，1982，80(2)：247-266.
[5]吴光强，盛云，方园. 基于声学灵敏度的汽车噪声声-固耦合有限元分析[J]. 机械工程学报，2009，45(3)：222-228.
Wu Guangqiang，Sheng Yun，Fang Yuan. Coupled Acoustic-structural Finite Element Analysis of Vehicle Interior Noise Based on Acoustic Sensitivity[J]. Journal of Mechanical Engineering，2009，45(3)：222-228.
[6]Langley R S. A Dynamic Stiffness/Boundary Element Method for the Prediction of Interior Noise Levels[J]. Journal of Sound and Vibration，1993，163(2)：207-230.
[7]Kim B K，Ih J G. On the Reconstruction of the Vibro-acoustic Field over the Surface Enclosing an Interior Space Using the Boundary Element Method[J]. Journal of the Acoustical Society of America，1996，100(5)：3003-3016.
[8]靳晓雄，叶武平，丁玉兰. 基于统计能量分析法的轿车内室噪声优化与控制[J]. 同济大学学报，2002，30(7)：862- 867.
Jin Xiaoxiong，Ye Wuping，Ding Yulan. Car Interior Noise Simulation Using Statistical Energy Analysis Method[J]. Journal of Tongji University，2002，30(7)：862- 867.
[9]Citarella R，Federico L，Cicatiello A. Model Acoustic Transfer Vector Approach in a FEM-BEM Vibro-acoustic Analysis[J]. Engineering Analysis with Boundary Elements，2007，31(3)：248-258.
[10]张伟，刘献栋，单颖春，等.基于声传递向量法的路面激励引起车内噪声的仿真研究[J]. 振动工程学报，2010，23(6)：39-43.
Zhang Wei，Liu Xiandong，Shan Yingchun，et al. Simulation and Analysis of Vehicle Inner Noise Excited by Roughness Based on Acoustic Transfer Vector Method[J]. Journal of Vibration Engineering，2010，23(6)：625-629.
[11]Koopmann G H，Song L，Fahnline J. A Method for Computing Acoustic Fields Based on the Principle of Wave Superposition[J]. Journal of the Acoustical Society of America，1989，86(5)：2433-2438.
[12]于飞，陈剑，李卫兵，等. 腔体内三维声场重构与预测的波叠加方法[J]. 自然科学进展，2005，15(1)：90-96.
Yu Fei，Chen Jian，Li Weibing，et al. Wave Superposition Approach for Reconstruction and Prediction of 3-D Sound Field in Cavity[J]. Progress in Natural Science，2005，15(1)：90-96.
[13]Kim S M，Brennan M J. A Compact Matrix Formulation Using the Impedance and Mobility Approach for the Analysis of Structural-acoustic System[J]. Journal of Sound and Vibration，1999，223(1)：97-113.

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