## 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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