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- Title
Application of Nondimensional Dynamic Influence Function Method for Eigenmode Analysis of Two-Dimensional Acoustic Cavities.
- Authors
S. W. Kang; Atluri, S. N.
- 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.
- Subjects
DIMENSIONLESS numbers; DYNAMICAL systems; ACOUSTIC resonators; EIGENVALUES; PROBLEM solving
- Publication
Advances in Mechanical Engineering (Sage Publications Inc.), 2014, p1
- ISSN
1687-8132
- Publication type
Article
- DOI
10.1155/2014/363570