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.
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ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 24–28, 2005
Long Beach, California, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4738-1
PROCEEDINGS PAPER
Reduced Order Modelling in Nonlinear Mechanical Oscillators With Energy Pumping Available to Purchase
Xianghong Ma,
Xianghong Ma
Aston University, Birmingham, UK
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Alexander F. Vakakis,
Alexander F. Vakakis
National Technical University of Athens, Athens, Greece
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Lawrence A. Bergman
Lawrence A. Bergman
University of Illinois, Urbana, IL
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Xianghong Ma
Aston University, Birmingham, UK
Alexander F. Vakakis
National Technical University of Athens, Athens, Greece
Lawrence A. Bergman
University of Illinois, Urbana, IL
Paper No:
DETC2005-85214, pp. 1925-1931; 7 pages
Published Online:
June 11, 2008
Citation
Ma, X, Vakakis, AF, & Bergman, LA. "Reduced Order Modelling in Nonlinear Mechanical Oscillators With Energy Pumping." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 1925-1931. ASME. https://doi.org/10.1115/DETC2005-85214
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