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2023 | OriginalPaper | Chapter

14. System Equivalent Model Mixing (SEMM): A Modal Domain Formulation

Authors : Miha Pogačar, Domen Ocepek, Gregor Čepon, Miha Boltežar

Published in: Dynamic Substructures, Volume 4

Publisher: Springer International Publishing

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Abstract

A substructuring-based method System Equivalent Model Mixing (SEMM) has recently been introduced as a novel expansion method. Originally it was implemented in the frequency domain and has been proven to have a great potential. The objective of this paper is to introduce M-SEMM, the modal domain formulation of system equivalent model mixing. Its basic formulation is presented, considering either physical or modal constraints between substructures. When modal constraints are applied, the derivation reveals that the resulting M-SEMM formulation is equivalent to System Equivalent Reduction/Expansion Process (SEREP), one of the most established reduction/expansion methods in the modal domain. Further, when considering physical constraints, the resulting formulation can be seen as a potentially useful novel modal expansion method.

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Footnotes
1
Equivalently, one could also consider premultiplying by \(\boldsymbol {\Phi }_b^{(\mathrm {rem})\dagger }\). In a typical SEMM application, overlay model is experimentally obtained and we tend to avoid the inversion of experimental data to avoid enhancing the experimental errors.
 
Literature
1.
go back to reference Klaassen, S.W., van der Seijs, M.V., de Klerk, D.: System equivalent model mixing. Mech. Syst. Signal Process. 105, 90–112 (2018)CrossRef Klaassen, S.W., van der Seijs, M.V., de Klerk, D.: System equivalent model mixing. Mech. Syst. Signal Process. 105, 90–112 (2018)CrossRef
2.
go back to reference Allen, M.S., Mayes, R.L., Bergman, E.J.: Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections. J. Sound Vib. 329(23), 4891–4906 (2010)CrossRef Allen, M.S., Mayes, R.L., Bergman, E.J.: Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections. J. Sound Vib. 329(23), 4891–4906 (2010)CrossRef
3.
go back to reference O’Callahan, J.C., Avitabile, P., Riemer, R.: System equivalent reduction expansion process (SEREP). In: Proceedings of the VII International Modal Analysis Conference (IMAC), vol. 1, pp. 29–37. Society for Experimental Mechanics, Bethel (1989) O’Callahan, J.C., Avitabile, P., Riemer, R.: System equivalent reduction expansion process (SEREP). In: Proceedings of the VII International Modal Analysis Conference (IMAC), vol. 1, pp. 29–37. Society for Experimental Mechanics, Bethel (1989)
4.
go back to reference Allemang, R.J.: The modal assurance criterion–twenty years of use and abuse. Sound Vibration 37(8), 14–23 (2003) Allemang, R.J.: The modal assurance criterion–twenty years of use and abuse. Sound Vibration 37(8), 14–23 (2003)
Metadata
Title
System Equivalent Model Mixing (SEMM): A Modal Domain Formulation
Authors
Miha Pogačar
Domen Ocepek
Gregor Čepon
Miha Boltežar
Copyright Year
2023
DOI
https://doi.org/10.1007/978-3-031-04094-8_14