Reduced order modelling in nonlinear mechanical oscillators with energy pumping

Xianghong Ma*, Alexander F. Vakakis, Lawrence A. Bergman

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Energy pumping in nonlinear mechanical oscillators has been discovered and studied in mechanical systems consisting of weakly coupled, linear and nonlinear components [1-3]. In this paper this phenomenon is further studied and numerically verified on an 11 degree of freedom system. It also presents a technique to create low dimensional models for energy pumping systems using the Karhunen-Loeve (K-L) decomposition method. It is shown that energy pumping can be identified from the dominant K-L modes. The low dimensional models are used to reconstruct the system responses. From the comparisons between the reconstructed and simulated response, we can see that the K-L mode-based low-dimensional model can represent the system responses; it can be used for monitoring, diagnosis and control purposes.

Original languageEnglish
Title of host publicationProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
Pages1925-1931
Number of pages7
Volume1 C
Publication statusPublished - 1 Dec 2005
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United Kingdom
Duration: 24 Sep 200528 Sep 2005

Conference

ConferenceDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited Kingdom
CityLong Beach, CA
Period24/09/0528/09/05

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  • Cite this

    Ma, X., Vakakis, A. F., & Bergman, L. A. (2005). Reduced order modelling in nonlinear mechanical oscillators with energy pumping. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005 (Vol. 1 C, pp. 1925-1931)