Mathematical Physics


The Finite Element Method (Fem)to Finding the Reverberation Times of Irregular Rooms

Authors: Jalil Olia, Vahid Afshinmehr

In this paper we applied a finite element method to finding the effects on the reverberation times of common irregularities like curved surfaces, non-parallel walls and large open-walled ante-rooms, found in auditoria. The number of modes having a reverberation time in a specified time interval is expressed as a function of the total allowed degrees of freedom and it is shown that even when the number of degrees of freedom of the model is large there is, in general, no one dominant group. Curved surfaces in particular lead to a situation where some modes have very long reverberation times, leading to bad acoustics. In such situations a knowledge of the offending mode shapes give an indication on where to position absorptive material for optimum effect.

Comments: 20 pages

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Submission history

[v1] 30 Mar 2011

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