Eigenmodes and eigenfrequencies of two dimensional cavities with arbitrary shape

Author

Amir, N. ; Starobinski, R.

Author_Institution

Dept. of Commun. Eng., Center for Technol. Educ., Holon, Israel

fYear

1996

Firstpage

64

Lastpage

67

Abstract

A method for calculating the modes of vibration of two-dimensional cavities is presented. This method can be used for shapes that are simply connected, having two axes of symmetry. It is based on a method for computing wave propagation in waveguides of arbitrarily changing cross-section, originally proposed by Roure (1976). The cavity under consideration is approximated by a series of rectangles along one of its axes of symmetry, and treated as a waveguide. The input impedance of this waveguide is used to calculate the resonant frequencies, and a calculation of the pressure along this waveguide shows the corresponding vibrational modes. To demonstrate the validity of the proposed method, we analyze a circular cavity, with good agreement to analytical results

Keywords

acoustic impedance; acoustic intensity; acoustic resonance; acoustic wave propagation; acoustic waveguides; eigenvalues and eigenfunctions; resonance; vibrations; acoustic wave propagation; acoustic waveguides; arbitrarily changing cross-section; axes of symmetry; circular cavity; eigenfrequencies; eigenmodes; input impedance; pressure; rectangles; resonant frequencies; simply connected shapes; two dimensional cavities; vibrational modes; Acoustic propagation; Acoustic waveguides; Acoustic waves; Biomembranes; Educational technology; Eigenvalues and eigenfunctions; Impedance; Rectangular waveguides; Resonance; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Electronics Engineers in Israel, 1996., Nineteenth Convention of

Conference_Location

Jerusalem

Print_ISBN

0-7803-3330-6

Type

conf

DOI

10.1109/EEIS.1996.566894

Filename

566894