Eigensolutions to a vibroacoustic interior coupled problem with a perturbation method

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• 作者：Bertille Claude^a ; Laetitia Duigou^a ; Gregory Girault^a ; ^b ; Jean-Marc Cadou^a ; ^{jean-marc.cadou@univ-ubs.fr}
• 关键词：Linear vibroacoustic problem ; Eigenvalues ; Perturbation method
• 刊名：Comptes Rendus Mécanique
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：345
• 期：2
• 页码：130-136
• 全文大小：838 K
• 卷排序：345

文摘

In this paper, an efficient and robust numerical method is proposed to solve non-symmetric eigenvalue problems resulting from the spatial discretization with the finite element method of a vibroacoustic interior problem. The proposed method relies on a perturbation method. Finding the eigenvalues consists in determining zero values of a scalar that depends on angular frequency. Numerical tests show that the proposed method is not sensitive to poorly conditioned matrices resulting from the displacement–pressure formulation. Moreover, the computational times required with this method are lower than those needed with a classical technique such as, for example, the Arnoldi method.