Application of Nondimensional Dynamic Influence Function Method for Eigenmode Analysis of Two-Dimensional Acoustic Cavities | Zendy

Kang S. W. | Zendy; Atluri S. N. | Zendy

Open Access

Application of Nondimensional Dynamic Influence Function Method for Eigenmode Analysis of Two-Dimensional Acoustic Cavities

Author(s) -

Kang S. W.,

Atluri S. N.

Publication year - 2014

Publication title -

advances in mechanical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.318

H-Index - 40

ISSN - 1687-8132

DOI - 10.1155/2014/363570

Subject(s) - eigenvalues and eigenvectors , singularity , matrix (chemical analysis) , normal mode , range (aeronautics) , function (biology) , mathematics , mathematical analysis , algebraic number , mode (computer interface) , computer science , acoustics , vibration , physics , engineering , materials science , quantum mechanics , evolutionary biology , composite material , biology , aerospace engineering , operating system

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.

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