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论文:2012,Vol:30,Issue(1):102-107 |
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引用本文： |
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王海涛, 曾向阳, 陈玲. 小尺度封闭空间无网格Galerkin声场数值计算方法[J]. 西北工业大学 |
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Wang Haitao, Zeng Xiangyang, Chen Ling. An Effective Galerkin Meshless Model for Calculating Sound Fields in Arbitrarily Shaped Enclosures[J]. Northwestern polytechnical university |
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| 小尺度封闭空间无网格Galerkin声场数值计算方法 |
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| 王海涛1, 曾向阳1, 陈玲2 |
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1. 西北工业大学 航海学院,陕西 西安 710072;
2. 上海飞机设计研究院,上海 200232 |
| 摘要: |
| 文章将无网格法引入小尺度封闭空间声场的计算。首先推导了适用于任意形状小尺度封闭空间的无网格Galerkin声场数值计算模型。在模型中,利用Galerkin型加权残量法推导了计算节点声压的系统方程,根据移动最小二乘近似法构造了无网格形函数,并给出了积分运算方案;然后对一个矩形封闭空间的声传递函数及混响时间进行了计算,通过与理论计算结果、SYSNOISE计算结果及其文献实验结果对比,证明了模型的正确性;最后对一个实际机舱进行了建模计算,并与测量结果进行了比较,证明了模型对较复杂结构的正确性及适用性。 |
| 关键词:
无网格法
小尺度封闭空间
声场计算
伽辽金法
实际机舱
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| An Effective Galerkin Meshless Model for Calculating Sound Fields in Arbitrarily Shaped Enclosures |
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| Wang Haitao1, Zeng Xiangyang1, Chen Ling2 |
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1. College of Marine Engineering, Northwestern Polytechnical University, Xi'an 710072, China;
2. Shanghai Aircraft Design and Research Institute of COMAC, Shanghai 200232, China |
| Abstract: |
| Sections 1 and 2 of the full paper explains our effective model as mentioned in the title.Their core con-sists of: "In the model,the system equation for calculating the sound pressure of nodes is derived according toGalerkin weighted residual method.The shape functions are constructed with the moving least squares method andthe methods for calculating the integrations are introduced in detail.Then,the acoustic transfer function and rever-beration time of a rectangular enclosure are calculated with the model and compared with the results obtained by thetheoretical method,SYSNOISE and measurements respectively."Section 2 uses our model to calculate the soundfield in an airplane cabin.The results,presented in Table 1 and Fig 8,and their analysis show preliminarily thatthe accuracy and the applicability of our method for arbitrarily shaped enclosures are validated. |
| Key words:
aircraft
analysis
boundary conditions
calculations
computational geometry
computer software
ef-ficiency
errors
finite difference method
finite element method
frequency domain analysis
func-tions
integration
Galerkin methods
least squares approximation
models
numerical methods
re-gression analysis
reverberation
scattering
schematic diagrams
stiffness matrix
white noise
air-plane cabin
calculation of sound fields
meshless method
small enclosure
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| 收稿日期: 2011-04-09
修回日期:
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| DOI: |
| 基金项目: 航空科学基金(20091553018)；西北工业大学基础研究基金(JC200925)资助 |
| 通讯作者:
Email： |
| 作者简介: 王海涛(1986-),西北工业大学博士研究生,主要从事室内声场计算研究。
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| 作者相关文章 |
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| 王海涛 在本刊中的所有文章 |
| 曾向阳 在本刊中的所有文章 |
| 陈玲 在本刊中的所有文章 |
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参考文献: |
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[1] 曾向阳. 声场视听一体化原理及应用. 西安: 西北工业大学出版社, 2007Zeng Xiangyang. The Theory and Applications of Sound Field's Visulization and Auralization. Xi'an: Northwestern PolytechnicalUniversity Press, 2007 (in Chinese)
[2] Lucy L B. A Numerical Approach to the Testing of the Fission Hypothesis. The Astron J, 1977, 8(12): 1013～1024
[3] Belytschko T，Lu Y Y, Gu L. Element-Free Galerkin Method. International Journal for Numerical Methods in Engineering．1994, 37: 229～256
[4] 刘 更，刘天祥, 谢琴. 无网格法及其应用. 西安: 西北工业大学出版社, 2005Liu Geng，Liu Tianxiang，Xie Qin. Meshless Methods and Their Applications. Xi'an: Northwestern Polytechnical UniversityPress, 2005 (in Chinese)
[5] 张 雄, 刘 岩. 无网格法. 北京: 清华大学出版社, 2004Zhang Xiong，Liu Yan. Meshless Methods. Beijing: Tsinghua University Press, 2004 (in Chinese)
[6] Bouillard P，Lacroix V，Bel E D. A Wave-Oriented Meshless Formulation for Acoustical and Vibro-Acoustical Applications．Wave Motion, 2004, 39(4): 295～305
[7] Alves J S C, Valtchev S S. Numerical Comparison of Two Meshfree Methods for Acoustic Wave Scattering. Engineering Analysiswith Boundary Elements, 2005, 29(4): 371～382
[8] Kireeva O，Mertens T, Bouillard P. A Coupled EFGM-CIE Method for Acoustic Radiation. Computers ＆ Structures，2006，84(29-30): 2092～2099
[9] Zeng He，Peng Li，Gaoyu Zhao，et al. A Meshless Galerkin Least-Square Method for the Helmholtz Equation. Engineering A-nalysis with Boundary Elements, 2011, 35(6): 868～878
[10] Jia X F，Hu T Y, Wang R Q. A Meshless Method for Acoustic and Elastic Modeling. Applied Geophysics, 2005, 2(1): 1～6
[11] 宁方立，韦 娟，陈克安等. 计算小尺度封闭空间内混响时间的方法研究. 西北工业大学学报, 2004, 22(4): 487～490Ning Fangli，Wei Juan，Chen Kean，et al. A New Method for Calculating Reverberation Time in Small Enclosures. Journal of Northwestern Polytechnical University, 2004, 22(4):487～490 (in Chinese) |
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