Normal Modes and Modal Reduction in Exterior Acoustics

Author:

Moheit Lennart1ORCID,Marburg Steffen1

Affiliation:

1. Chair of Vibroacoustics of Vehicles and Machines, Department of Mechanical Engineering, Technical University of Munich, Garching 85748, Germany

Abstract

The Helmholtz equation for exterior acoustic problems can be solved by the finite element method in combination with conjugated infinite elements. Both provide frequency-independent system matrices, forming a discrete, linear system of equations. The homogenous system can be understood as a quadratic eigenvalue problem of normal modes (NMs). Knowledge about the only relevant NMs, which — when doing modal superposition — still provide a sufficiently accurate solution for the sound pressure and sound power in comparison to the full set of modes, leads to reduced computational effort. Properties of NMs and criteria of modal reduction are discussed in this work.

Funder

Deutsche Forschungsgemeinschaft

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computer Science Applications,Acoustics and Ultrasonics

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