一种新的声无限元法

NOVEL ACOUSTIC INFINITE ELEMENT

提出了一种求解外声场领域新的无限元法。这种无限元方法使用文献 [1]中无限元的形函数 ,权函数为形函数的共轭 ,再乘以一个附加权因子 ,这样求解过程就避免了无穷的指数积分。采用椭球坐标。本文考虑了文献 [1]中的所忽略的一项。耦合有限元 ,这种新的无限元 ,理论上可以求解任意形状、任意频率的声源的声辐射问题。文中首次提出 ,通过检验无限元求解的精度 ,而不是耦合的有限元和无限元的总体精度来验证无限元方法的可行性。我们使用这种方法分析了一个摆动球和一个椭球例子 ,结果表明这种方法是可行的。

In the paper a novel acoustic infinite element is described.The shape functions of the novel acoustic infinite element are the same as in paper[1],while the weight functions are defined as the product of the complex conjugates of the shaped functions and an additional weighting factor.The ellipsoidal coordinal is used and certain term ignored in the paper[1] is taken into account.Coupling with the standard finite element,the novel ellipsoidal acoustic infinite element provides a capability of efficiently modeling acoustic fields surrounding structures of virtually any practical shape.Furthermore,numerical results of an oscillating sphere and a prolate spheroid show that the novel ellipsoidal acoustic infinite element is superior to other acoustic infinite elements.