System equivalent model mixing

Steven W.B. Klaassen*, Maarten V. van der Seijs, Dennis de Klerk

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

35 Citations (Scopus)
86 Downloads (Pure)


This paper introduces SEMM: a method based on Frequency Based Substructuring (FBS) techniques that enables the construction of hybrid dynamic models. With System Equivalent Model Mixing (SEMM) frequency based models, either of numerical or experimental nature, can be mixed to form a hybrid model. This model follows the dynamic behaviour of a predefined weighted master model. A large variety of applications can be thought of, such as the DoF-space expansion of relatively small experimental models using numerical models, or the blending of different models in the frequency spectrum. SEMM is outlined, both mathematically and conceptually, based on a notation commonly used in FBS. A critical physical interpretation of the theory is provided next, along with a comparison to similar techniques; namely DoF expansion techniques. SEMM's concept is further illustrated by means of a numerical example. It will become apparent that the basic method of SEMM has some shortcomings which warrant a few extensions to the method. One of the main applications is tested in a practical case, performed on a validated benchmark structure; it will emphasize the practicality of the method.

Original languageEnglish
Pages (from-to)90-112
JournalMechanical Systems and Signal Processing
Volume105 (2018)
Publication statusPublished - 2017

Bibliographical note

Accepted Author Manuscript


  • Dynamic substructuring
  • Frequency based substructuring
  • Hybrid model
  • Model expansion
  • System equivalent model mixing
  • Trust function

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