Identification and application of dynamic uncoupling between modifications to vibrating systems

Andrew S. Wixom, J. Gregory McDaniel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper develops and demonstrates a strategy for identifying the lack of dynamic interaction, or coupling, between potential design modifications to a vibrating base structure. Such decoupling may be exploited to efficiently compare the performance of competing engineering designs. In particular, it is shown how different design modifications may be represented as the addition or removal of substructures. When these substructures are uncoupled according to the metric developed here, the computational cost of determining the optimal system design can be greatly reduced. For example, if a designer considers seven possible modifications and wishes to examine all possible combinations of the modifications, 128 possible structures must be analyzed. However, if all modifications are dynamically uncoupled, significant computational effort need only be spent on eight of the possible structures in order to generate the responses for all remaining designs. Example problems demonstrate this cost reduction and illustrate cases where dynamic uncoupling occurs.

Original languageEnglish (US)
Pages (from-to)533-554
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Issue number4
StatePublished - Jan 27 2017

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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