噪声与振动控制2018，Vol.38Issue(1)：9-15,7.DOI:10.3969/j.issn.1006-1355.2018.01.002
复杂阻抗吸声结构的大规模有限元声模态分析方法
Finite Element Method for Large-scale Acoustic Modal Analysis of Complex Impedance Absorption Structures
摘要
Abstract
It is the common noise reduction means to lay the sound absorption material on the boundary of the sound field. Generally speaking, the impedance of the acoustic material varies with the frequency. It is especially true in low frequency range. If the impedance variation is considered, the acoustic model analysis problem will become a nonlinear eigenvalue problem. Currently, commercial finite element analysis software is unlikely to deal with such a problem. In engineering application, the impedance of the absorption material is usually set to be a constant to avoid the nonlinear eigenvalue problem. However, this will bring large errors to modal frequency results. In this paper, the application of a newly-developed resolvent sampling based Rayleigh-Ritz projection method(RSRR)is studied for the solution of this kind of problems.This method is applied to the modal analysis of absorption structures with complex impedance.The algorithm is implemented in the commercial finite element software ANSYS by secondary development. Representative numerical examples are given to show the high precision and good numerical stability of this method. It is proven to be a general method for the modal analysis of large-scale sound field.关键词
声学/频变阻抗/声模态/非线性特征值问题/大规模计算Key words
acoustics/frequency dependent impedance/acoustic modal/nonlinear eigenvalue problem/large-scale computation分类
航空航天引用本文复制引用
李颖洁,王焘,校金友,文立华..复杂阻抗吸声结构的大规模有限元声模态分析方法[J].噪声与振动控制,2018,38(1):9-15,7.基金项目
国家自然科学基金资助项目(11102154,11472217) （11102154,11472217）
