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Research Papers

Structure-Borne Sound Characterization of Coupled Structures—Part I: Simple Demonstrator Model

[+] Author and Article Information
Goran Pavić1

Laboratoire Vibrations-Acoustique, Institut National des Sciences Appliquées de Lyon, 69621 Villeurbanne, Francegoran.pavic@insa-lyon.fr

Andrew S. Elliott

Acoustics, Audio and Video Group, University of Salford, Salford M54WT, UKa.s.elliott@salford.ac.uk

1

Corresponding author.

J. Vib. Acoust 132(4), 041008 (Jun 01, 2010) (7 pages) doi:10.1115/1.4000980 History: Received June 05, 2009; Revised December 14, 2009; Published June 01, 2010; Online June 01, 2010

A method has been developed to characterize a vibration source when coupled via resilient mounts to a receiver structure. This two-step measurement procedure can deliver the mobility and free velocity of a source, together with the mobility of the receiver to which it is connected, without decoupling the two structures. The method is feasible in a practical sense as it does not require any knowledge of mount properties. This is a major advantage as mount properties can deviate from their stated specifications through tolerances, and furthermore, the properties may change when loaded in the coupled-state. A benchmark test is used as a validation reference for the method where the properties of the resilient mounts are required and are assumed as known but not completely certain. The comparison of the benchmark and the principal method is used to illustrate the benefits of the latter given a small error in the supposedly known mount properties. In this first part of the paper, the principles of the two methods are illustrated using a simple demonstrator example while in the second part the feasibility of the method is further examined by virtual experiment involving two built-up plates resiliently connected at several points.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 4

Demonstrator subsystem mobilities via known connector mobilities: stiffness of the connector underestimated by 20%. (a): source mobility, (b): receiver mobility. Light gray line: exact value; black line: excitation applied at the source side, dark gray line: excitation applied at the receiver side. Triangles: position of coupled resonance frequencies.

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Figure 5

Relative error of apparent driving force. (a): source force, (b): receiver force. Black line: excitation at the same side, gray line: excitation at the opposite side. Dotted lines: uncoupled resonance frequencies; triangles: coupled resonance frequencies.

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Figure 6

Identified demonstrator mobilities via unknown connector mobilities. (a): source mobility, (b): receiver mobility. Gray line: exact value; black line: values identified using Eq. 10. Triangles: position of coupled resonance frequencies.

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Figure 7

Modulus of the identified mobility of two oscillators in the presence of signal noise of 35 dB SN ratio. (a): source mobility, (b): receiver mobility. Dotted lines: uncoupled resonance frequencies; triangles: coupled resonance frequencies.

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Figure 1

Simple demonstrator model of source-receiver system

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Figure 2

Mobility moduli of demonstrator system. (a): uncoupled state; thin black line: source mobility, thin gray line: receiver mobility, thick black line: driving-point mobility of free connector, thick gray line: transfer mobility of free connector. (b): coupled-state; black line: driving mobility at source side, dark gray line: driving mobility at receiver side, light gray line: transfer mobility source-receiver.

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Figure 3

External and internal forces acting on the system

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Figure 8

Sensitivity factors of demonstrator model γsc′, γtc′, γrc″ and γtc″ represented, respectively, by lines of increasing brightness. (a): source mobility, (b): receiver mobility.

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