Application of nondimensional dynamic influence function method for eigenmode analysis of two-dimensional acoustic cavities

S. W. Kang, S. N. Atluri

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Abstract

This paper establishes an improved NDIF method for the eigenvalue extraction of two-dimensional acoustic cavities with arbitrary shapes. The NDIF method, which was introduced by the authors in 1999, gives highly accurate eigenvalues despite employing a small number of nodes. However, it needs the inefficient procedure of calculating the singularity of a system matrix in the frequency range of interest for extracting eigenvalues and mode shapes. The paper proposes a practical approach for overcoming the inefficient procedure by making the final system matrix equation of the NDIF method into a form of algebraic eigenvalue problem. The solution quality of the proposed method is investigated by obtaining the eigenvalues and mode shapes of a circular, a rectangular, and an arbitrarily shaped cavity.

Original languageEnglish
Article number363570
JournalAdvances in Mechanical Engineering
Volume2014
DOIs
StatePublished - 2014

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