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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 ([email protected])
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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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References

REFERENCES

Hurty, W. C., “Vibrations of Structural Systems by Component Mode Synthesis,” Journal of the Engineering Mechanics Division, ASCE, 86, pp. 51-69 (1960).Google Scholar
Hurty, W. C., “Dynamic Analysis of Structural Systems Using Component Modes,” AIAA Journal, 3, pp. 678–685 (1965).CrossRefGoogle Scholar
De Klerk, D., Rixen, D. J., and Voormeeren, S. N., “General Framework for Dynamic Substructuring: History, Review and Classification of Techniques,” AIAA journal, 46, pp. 1169-1181 (2008).Google Scholar
O’hara, G. J., “Mechanical Impedance and Mobility Concepts,” The Journal of the Acoustical Society of America, 41, pp. 1180-1184 (1967).Google Scholar
Sykes, A. O., “Application of Admittance and Impedance Concepts in the Synthesis of Vibrating Systems,” ASME Special Publication, Synthesis of Vibrating Systems, pp. 22-37 (1971).Google Scholar
Imregun, M., Robb, D. A. and Ewins, D. J., “Structural Modification and Coupling Dynamic Analysis Using Measured FRF Data,” Proceedings of the 4th International Modal Analysis Conference, London, U.K. (1987).Google Scholar
Jetmundsen, B., On Frequency Domain Methodologies for Structural Modification and Subsystem Synthesis, Ph.D. Dissertation, Rensselaer Polytechnic Institute, Troy, New York, U.S.A. (1986).Google Scholar
Jetmundsen, B., Bielawa, R. L. and Flannelly, W. G., “Generalized Frequency Domain Substructure Synthesis,” Journal of the American Helicopter Society, 33, pp. 55-64 (1988).CrossRefGoogle Scholar
De Klerk, D., Rixen, D. J. and De Jong, J. “The Frequency Based Substructuring (FBS) Method Reformulated According to the Dual Domain Decomposition Method,” 24th Conference and Exposition on Structural Dynamics, St Louis, MI, U.S.A. (2006).Google Scholar
Voormeeren, S. N. and Rixen, D. J., “A Family of Substructure Decoupling Techniques Based on a Dual Assembly Approach,” Mechanical Systems and Signal Processing, 27, pp. 379–396 (2012).Google Scholar
Elliott, A. S. and Moorhouse, A. T., “Characterisation of Structure Borne Sound Sources from Measurement In-Situ,” Journal of the Acoustical Society of America, 123 (5) 3176 (2008).Google Scholar
Moorhouse, A.T., Elliott, A.S. and Evans, T.A., “In-Situ Measurement of the Blocked Force of Structure-Borne Sound Sources,” Journal of Sound and Vibration, 325, pp. 679-685 (2009).CrossRefGoogle Scholar
Rixen, D. J., Boogaard, A., Seijs, M. V. V. D., Schothorst, G. V. and Poel, T. V.D., “Vibration Source Description in Substructuring: A Theoretical Depiction,” Mechanical Systems and Signal Processing, 60–61, pp.498–511 (2015).CrossRefGoogle Scholar
Van Der Seijs, M., De Klerk, D. and Rixen, D. J., “General Framework for Transfer Path Analysis: History, Theory and Classification of Techniques,” Mechanical Systems and Signal Processing, 68–69, pp. 217–244 (2016).Google Scholar
Taejin, S., Kim, Y. S., An, K. and Lee, S. K., “Transfer Path Analysis of Rumbling Noise in a Passenger Car Based on In-Situ Blocked Force Measurement,” Applied Acoustics, 149, pp. 1-14 (2019).Google Scholar
Lennström, D., Olssona, M., Wullensb., F. and Nykänen, A., “Validation of the Blocked Force Method for Various Boundary Conditions for Automotive Source Characterization,” Applied Acoustics, 102, pp. 108-119 (2016).CrossRefGoogle Scholar
De Klerk, D. and Rixen, D. J., “Component Transfer Path Analysis Method with Compensation for Test Bench Dynamics,” Mechanical Systems and Signal Processing, 24, pp. 1693-1710 (2010).CrossRefGoogle Scholar
De Klerk, D., Dynamic Response Characterization of Complex Systems Through Operational Identification and Dynamic Substructuring, Ph.D. Dissertation, Delft University of Technology, The Netherlands (2009).Google Scholar
Liao, X., Li, S., Yang, S., Wang, J. and Xu, Y., “Advanced Component Transmission Path Analysis Based on Transmissibility Matrices and Blocked Displacements,” Journal of Sound and Vibration, 437, pp. 242-263 (2018).CrossRefGoogle Scholar
Wang, Z. and Zhu, P., “Response Prediction for Modified Mechanical Systems Based on In-Situ Frequency Response Functions: Theoretical and Numerical Studies,” Journal of Sound and Vibration, 400, pp. 417-441 (2017).CrossRefGoogle Scholar
Liao, X., Li, S., Xu, Y., Meng, H. and Zhao, J., “Full response prediction for locally modified mechanical systems using the concept of equivalent additional force,” Journal of Sound and Vibration, 479, Article 115369 (2020).CrossRefGoogle Scholar