The analysis of multidegree-of-freedom (MDOF) nonlinear systems is studied using the concept of nonlinear output frequency response functions (NOFRFs), which are a series of one-dimensional functions of frequency recently proposed by the authors to facilitate the analysis of nonlinear systems in the frequency domain. By inspecting the relationships between the NOFRFs of two consecutive masses in the locally nonlinear MDOF systems, a series of properties about the NOFRFs of the nonlinear systems are obtained. These properties clearly reveal how the system linear characteristic parameters govern the distribution of nonlinear effects induced by the system nonlinear component within the whole systems. The results obtained in the present work are of significance to the frequency response analysis for nonlinear systems. One important potential application of these results is the detection and location of damages in engineering structures, which make the structures behave nonlinearly.
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e-mail: pengzhike@tsinghua.org.cn
e-mail: z.lang@shef.ac.uk
e-mail: s.billings@shef.ac.uk
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October 2009
Research Papers
Analysis of Locally Nonlinear MDOF Systems Using Nonlinear Output Frequency Response Functions
Z. K. Peng,
Z. K. Peng
Department of Automatic Control and Systems Engineering,
e-mail: pengzhike@tsinghua.org.cn
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UK; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University
, Shanghai 200240, P. R. China
Search for other works by this author on:
Z. Q. Lang,
Z. Q. Lang
Department of Automatic Control and Systems Engineering,
e-mail: z.lang@shef.ac.uk
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UK
Search for other works by this author on:
S. A. Billings
S. A. Billings
Department of Automatic Control and Systems Engineering,
e-mail: s.billings@shef.ac.uk
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UK
Search for other works by this author on:
Z. K. Peng
Department of Automatic Control and Systems Engineering,
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UK; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University
, Shanghai 200240, P. R. Chinae-mail: pengzhike@tsinghua.org.cn
Z. Q. Lang
Department of Automatic Control and Systems Engineering,
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UKe-mail: z.lang@shef.ac.uk
S. A. Billings
Department of Automatic Control and Systems Engineering,
University of Sheffield
, Mappin Street, Sheffield S1 3JD, UKe-mail: s.billings@shef.ac.uk
J. Vib. Acoust. Oct 2009, 131(5): 051007 (10 pages)
Published Online: September 11, 2009
Article history
Received:
October 1, 2008
Revised:
April 12, 2009
Published:
September 11, 2009
Citation
Peng, Z. K., Lang, Z. Q., and Billings, S. A. (September 11, 2009). "Analysis of Locally Nonlinear MDOF Systems Using Nonlinear Output Frequency Response Functions." ASME. J. Vib. Acoust. October 2009; 131(5): 051007. https://doi.org/10.1115/1.3147139
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