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Dynamics and waves in loudspeaker cones

Dynamics and waves in loudspeaker cones
Dynamics and waves in loudspeaker cones
Several analytic and numerical models have been proposed to study the dynamic behaviour of loudspeaker cones, generally based on thin shell elements. The purpose of this paper is to link together some of these models by decomposing the results of a finite element analysis in terms of wave components. This is achieved using the wave finite element, WFE, method. A full finite element model is constructed first and the forced responses of the loudspeaker at different frequencies are calculated. Then, a wave finite element analysis is used to calculate the wave properties of the loudspeaker cone, in terms of wave mode-shape and wavenumber, as a function of position. Using these to decompose the overall results from the finite element analysis, the responses of the loudspeaker cone can be interpreted in terms of wave propagation. It is shown how the loudspeaker cone moves as a rigid body, due to in-plane waves, at low frequencies. As the excitation frequency increases, the transverse velocity of the cone surface becomes non-uniform, since the amplitude of the vibration increases towards the base of the cone, where bending waves can propagate. The transition point moves towards the apex of the cone with increasing excitation frequency until at high enough frequencies the whole cone is dominated by bending waves.
Ni, Guangjian
f6ddc112-7d81-403a-b97a-7ecbc8fd4e59
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Langley, Andrew
276598ce-1ea9-4fc9-a8ea-ff7fdd665c3d
Ni, Guangjian
f6ddc112-7d81-403a-b97a-7ecbc8fd4e59
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Langley, Andrew
276598ce-1ea9-4fc9-a8ea-ff7fdd665c3d

Ni, Guangjian, Elliott, S.J. and Langley, Andrew (2012) Dynamics and waves in loudspeaker cones. International Conference on Noise and Vibration Engineering 2012 (ISMA 2012), Leuven, Belgium. 17 - 19 Sep 2012.

Record type: Conference or Workshop Item (Paper)

Abstract

Several analytic and numerical models have been proposed to study the dynamic behaviour of loudspeaker cones, generally based on thin shell elements. The purpose of this paper is to link together some of these models by decomposing the results of a finite element analysis in terms of wave components. This is achieved using the wave finite element, WFE, method. A full finite element model is constructed first and the forced responses of the loudspeaker at different frequencies are calculated. Then, a wave finite element analysis is used to calculate the wave properties of the loudspeaker cone, in terms of wave mode-shape and wavenumber, as a function of position. Using these to decompose the overall results from the finite element analysis, the responses of the loudspeaker cone can be interpreted in terms of wave propagation. It is shown how the loudspeaker cone moves as a rigid body, due to in-plane waves, at low frequencies. As the excitation frequency increases, the transverse velocity of the cone surface becomes non-uniform, since the amplitude of the vibration increases towards the base of the cone, where bending waves can propagate. The transition point moves towards the apex of the cone with increasing excitation frequency until at high enough frequencies the whole cone is dominated by bending waves.

Text
Waves in Loudspeaker Cones_ISMA2012.pdf - Accepted Manuscript
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More information

Published date: 17 September 2012
Venue - Dates: International Conference on Noise and Vibration Engineering 2012 (ISMA 2012), Leuven, Belgium, 2012-09-17 - 2012-09-19
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 356983
URI: http://eprints.soton.ac.uk/id/eprint/356983
PURE UUID: 6fc55adb-98f3-4fdc-9a0f-285ca8e4484f
ORCID for Guangjian Ni: ORCID iD orcid.org/0000-0002-9240-3020

Catalogue record

Date deposited: 15 Oct 2013 13:11
Last modified: 14 Mar 2024 14:54

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Contributors

Author: Guangjian Ni ORCID iD
Author: S.J. Elliott
Author: Andrew Langley

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