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| A boundary element method for the eigenfrequency sensitivity analysis of three-dimensional acoustic problems |
| Received:January 27, 2022 Revised:March 21, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20220127001 |
| KeyWord:acoustic modal eigenfrequency sensitivity boundary element method nonlinear eigenvalue contour integral |
| Author | Institution |
| 余志强 |
合肥工业大学 噪声振动工程研究所, 合肥 |
| 刘强 |
合肥工业大学 噪声振动工程研究所, 合肥 |
| 郑昌军 |
合肥工业大学 噪声振动工程研究所, 合肥 |
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| Abstract: |
| The eigenfrequency sensitivity analysis is of significance as it provides the basis for the eigenfrequency design of acoustic systems.The boundary element method (BEM) has unique advantages in solving acoustic problems.However,it is complicated to use BEM to compute the eigenfrequency sensitivities since the coefficient matrix of the BEM system is implicitly frequency dependent which leads to a nonlinear eigenvalue problem (NEP).In this paper,the NEP is first converted into a small generalized eigenvalue problem (GEP) through a contour integral method.After taking the derivatives of the GEP with respect to design variables,a BEM approach which can compute the sensitivities of distinct/repeated eigenfrequencies of both the interior and exterior three-dimensional acoustic fields is achieved by introducing the left eigenvectors and a transform matrix.Numerical examples are used to verify the applicability of the method and also the accuracy for calculating the sensitivities of both distinct and repeated eigenfrequencies. |