计算物理 ›› 2009, Vol. 26 ›› Issue (3): 396-402.DOI: 10.3969/j.issn.1001-246X.2009.03.009

• 研究论文 • 上一篇    下一篇

耦合FE/WB法在声分析中的应用

彭伟才, 何锃, 李鹏   

  1. 华中科技大学力学系, 湖北 武汉 430074
  • 收稿日期:2007-12-28 修回日期:2008-06-14 出版日期:2009-05-25 发布日期:2009-05-25
  • 作者简介:彭伟才(1981-),湖南益阳,博士生,主要从事中频振动声建模方法研究及噪声与振动分析.
  • 基金资助:
    国家自然科学基金(10872075)资助项目

Coupled Finite Element/Wave Based Method for Acoustic Analysis

PENG Weicai, HE Zeng, LI Peng   

  1. Department of Mechanics, Huazhong University of Science & Technology, Wuhan 430074, China
  • Received:2007-12-28 Revised:2008-06-14 Online:2009-05-25 Published:2009-05-25

摘要: 简要描叙FE法(finite element method)和WB法(wave based method)的理论背景以及耦合FE/WB法的数学基础.耦合FE/WB法利用两者的优势——FE法的广泛应用和WB法的高收敛特性,将FE模型中较大且几何简单的部分采用WB法代替.耦合模型具有相对较少的自由度.对于较高的频率还可以进行细分得到更高的计算精度,并利用模态缩减法进一步减少自由度数.数值算例结果表明,该耦合方法有潜力覆盖中频段的声分析.

关键词: 振动声, 数值建模, 有限元, Trefftz法

Abstract: We discuss briefly theoretical background of FEM and WBM and mathematical description of coupled FE/WB approach.FEM and WBM show advantages in wide application and high convergence rate,respectively.A coupling of predication tools benefits from advantages of both.The basic idea is to replace parts in the finite element mode,which have simple geometrical shapes,by much smaller wave models.It results in a coupled model with less degree of freedom.This allows a further refinement of model,which leads to an improved accuracy at higher frequencies and reduces number of degree of freedom by modal reduction techniques.Numerical example indicates that the proposed method has potential in covering a range with mid-frequency.

Key words: vibro-acoustics, numerical modeling, finite element method, Trefftz approach

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