The use of simple threedimensional acoustic finite elements for determining the natural modes and frequencies of complex shaped enclosures
Abstract
Tetrahedral and cuboid finite elements, with a linear variation of the pressure between the nodes, are used for finding the natural frequencies and modes of an acoustic enclosure. The first part of the paper is concerned with testing the elements on a parallelepiped enclosure. It is shown that the solution converges to the exact solution as 1 1/ N^{2} where N is the order of a threedimensional grid. In the final part the method is used for calculating the modes and frequencies of the passenger enclosure of a car and good agreement is shown with existing experimental results.
 Publication:

Journal of Sound Vibration
 Pub Date:
 August 1972
 DOI:
 10.1016/0022460X(72)906293
 Bibcode:
 1972JSV....23..331C