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Response Prediction and Dynamic Substructuring for Coupled Structures in the Frequency Domain

Published online by Cambridge University Press:  23 October 2020

X. H. Liao ,
W. F. Wu ,
H. D. Meng  and
J. B. Zhao
X. H. Liao
Affiliation:
School of Automotive Engineering Changzhou Institute of TechnologyChangzhou, China
W. F. Wu
Affiliation:
Department of Mechanical Engineering National Taiwan UniversityTaipei, Taiwan
H. D. Meng
Affiliation:
School of Automotive Engineering Changzhou Institute of TechnologyChangzhou, China
J. B. Zhao*
Affiliation:
School of Automotive Engineering Changzhou Institute of TechnologyChangzhou, China
*
*Corresponding author (zhaojb@czu.cn)
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Abstract

To evaluate the dynamic properties of a coupled structure based on the dynamic properties of its substructures, this paper investigates the dynamic substructuring issue from the perspective of response prediction. The main idea is that the connecting forces at the interface of substructures can be expressed by the unknown coupled structural responses, and the responses can be solved rather easily. Not only rigidly coupled structures but also resiliently coupled structures are investigated. In order to further comprehend and visualize the nature of coupling problems, the Neumann series expansion for a matrix describing the relation between the coupled and uncoupled substructures is also introduced in this paper. Compared with existing response prediction methods, the proposed method does not have to measure any forces, which makes it easier to apply than the others. Clearly, the frequency response function matrix of coupled structures can be derived directly based on the response prediction method. Compared with existing frequency response function synthesis methods, it is more straightforward and comprehensible. Through demonstration of two examples, it is concluded that the proposed method can deal with structural coupling problems very well.

Keywords

Coupled structureResponse predictionDynamic substructuringFrequency response functionNeumann series
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 6 , December 2020 , pp. 867 - 879
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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