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Erschienen in:
Modeling an Electrodynamic Shaker Using Experimental Substructuring Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

14. On the Problem of Describing the Coupling Interface Between Sub-structures: An Experimental Test for ‘Completeness’

verfasst von : J. W. R. Meggitt, A. T. Moorhouse, A. S. Elliott

Erschienen in: Dynamics of Coupled Structures, Volume 4

Verlag: Springer International Publishing

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Abstract

The implementation of both vibration source characterisation and sub-structure coupling/decoupling procedures rely on the complete description of a coupling interface, that is, the inclusion of coupling forces in all significant degrees of freedom (DoFs). However, it is not straight-forward to establish which DoFs are required in the description. E.g. is it necessary to include moments and/or in-plane forces? This is an important question as an incomplete description will lead to an erroneous representation of the dynamics. However, there are currently no methods of quantifying the completeness of an interface description. In this paper an experimental procedure is described for the assessment of interface completeness. Based on the theoretical blocking of DoF subsets, a relation is presented that allows for the contribution of an unknown DoF to be established. Further, a coherence style criterion is proposed to estimate the completeness of a given interface description. This criterion may be used to check whether sufficient coupling DoFs have been included in both source characterisation and sub-structure coupling/decoupling procedures. Numerical and experimental examples are provided to illustrate the concept.

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Vorheriges Kapitel Recent Advances to Estimation of Fixed-Interface Modal Models Using Dynamic Substructuring
Nächstes Kapitel Coupling Acoustic-Structure Systems Using Dynamic Substructuring
Fußnoten
1
Although we will refer to the proposed quantity as a criterion, given its definition, the authors are undecided as to whether ‘coefficient’ may be a more appropriate term.
 
2
Whilst a complete interface description is required from a theoretical basis, it is often the case that their exists a subset of DoFs that are of particular importance, and themselves provide a satisfactory description of the interface. In such a case the remaining DoFs may not need to be accounted for.
 
3
The blocked force \(\mathbf {\tilde {\bar {f}}_{c_i}}\) represents the reaction forces due to a source that is blocked in c i DoFs but unrestrained in the remaining c j DoFs. It is therefore by definition a blocked force, albeit not the true blocked force.
 
4
A similar problem is encountered in the application of sub-structure coupling and decoupling procedures. The neglect of coupling interface DoFs results in an erroneous representation of the assembly/substructure dynamics.
 
5
Although not discussed in any further detail here, for |c j | = 1, Eq. 14.13 may be considered the velocity at b due to the contribution of a single path, i.e. whilst all other paths are blocked. This is a similar concept to that used by Margans [17] in the formulation of the GTDT TPA procedure [18].
 
6
Consequently, \(\mathbf {Y_{ba}^{({c_j})}} = 0\) since the DoF subset c j does not exist.
 
7
Alternatively, if one considers Eq. 14.14, a complete interface description would block entirely the coupling interface, resulting in a velocity of 0 at the remote source DoFs b.
 
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Duarte, M.L.M., Ewins, D.J.: Some insights into the importance of rotational degrees-of-freedom and residual terms in coupled structure analysis. In: Proceedings of the 13th International Modal Analysis Conference – IMAC, pp. 164–170, May 1995
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D’Ambrogio, W., Fregolent, A.: Substructure decoupling without using rotational DoFs: fact or fiction? Mech. Syst. Signal Process. 72–73, 499–512 (2016)CrossRef
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Klerk, D.D., Rixen, D.J., Voormeeren, S.N.: General framework for dynamic substructuring: history, review and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef
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Patil, N.S., Elliott, A.S., Moorhouse, A.T.: A blocked pressure based transfer path analysis (TPA) method to measure the sound insulation path contributions of a partition subjected to an incident airborne field. In: 24th International Congress on Sound and Vibration, ICSV 2017, pp. 1–8 (2017)
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Elliott, A.S., Meggitt, J.W.R., Moorhouse, A.T.: Blocked forces for the characterisation of structure borne noise. In: Internoise2015, San Fransisco, pp. 5798–5805 (2015)
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Alber, T., Sturm, M., Moorhouse, A.T.: Independent characterization of structure-borne sound sources using the in-situ blocked force method. In Proceedings of Internoise, pp. 7302–7313 (2016)
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Moorhouse, A.T., Elliott, A.S., Evans, T.A.: In situ measurement of the blocked force of structure-borne sound sources. J. Sound Vib. 325(4–5), 679–685 (2009)CrossRef
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Meggitt, J.W.R., Elliott, A.S., Moorhouse, A.T.: Virtual assemblies and their use in the prediction of vibro-acoustic responses. In: Proceedings of the Institute of Acoustics, Warickshire (2016)
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Moorhouse, A.T., Elliott, A.S.: The “round trip” theory for reconstruction of Green’s functions at passive locations. J. Acoust. Soc. Am. 134(5), 3605–3612 (2013)CrossRef
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Magrans, F.X.: Method of measuring transmission paths. J. Sound Vib. 74(3), 321–330 (1981)CrossRef
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Guasch, O., Magrans, F.X.: The global transfer direct transfer method applied to a finite simply supported elastic beam. J. Sound Vib. 276(1–2), 335–359 (2004)CrossRef
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20.
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Metadaten
Titel
On the Problem of Describing the Coupling Interface Between Sub-structures: An Experimental Test for ‘Completeness’
verfasst von
J. W. R. Meggitt
A. T. Moorhouse
A. S. Elliott
Copyright-Jahr
2018
Buch
Dynamics of Coupled Structures, Volume 4

Print ISBN: 978-3-319-74653-1

Electronic ISBN: 978-3-319-74654-8

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-74654-8_14

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