轴对称体声振耦合的边界子波谱与有限元耦合方法

探讨了子波在Helmholtz积分方程及声振耦合中的应用,在建立了求解轴对称Helmholtz积分方程的子波谱方法的基础上,构造了轴对称子波谱与轴对称有限元的耦合方法,该方法可以处理轴对称问题的任意边界条件.进行了声振耦合问题的模态分析.

COUPLED FINITE ELEMENT AND WAVELET BOUNDARY SPECTRAL METHOD FOR SOUND-STRUCTURE INTERACTION ANALYSIS OF AXISYMMETRIC BODIES

A spectral method in which wavelets are used as the basis functions is developed for solving acoustic and coupled structural-acoustic problems.On the basis of axisymmetric boundary integral formulation for axisymmetric bodies with arbitrary boundary conditions,the boundary quantities are expanded in wavelet series along the generator of the body,and a wavelet spectral formulation for solving acoustic problems of axisymmetric bodies is derived.Then, coupled wavelet spectral and finite element method is formulated for solving sound-structure interaction of axisymmetric elastic bodies with arbitrary boundary conditions.In this coupled method,a three-dimensional formulation is reduced to a one-dimensional one along the generator of the body.The coupled system is solved using the superposition principle for all the terms of Fouries series.The analysis of a submerged structure is performed.The comparisons of results based on the new technique with coupled finite element and boundary element methods are presented.Numerical solutions are given which show the fast convergence and the high accuracy.