It is well-known that if one or a few components in a structure are of nonlinear properties, the whole structure will behave nonlinearly, and the nonlinear component is often the component where a fault or an abnormal condition occurs. Therefore it is of great significance to detect the position of nonlinear components in structures. Nonlinear output frequency response functions (NOFRFs) are a new concept proposed by the authors for the analysis of nonlinear systems in the frequency domain. The present study is concerned with investigating the NOFRFs of nonlinear one-dimensional chain type systems, which have been widely used to model many real life structures. A series of important properties of the NOFRFs of locally nonlinear one-dimensional chain type structures are revealed. These properties clearly describe the relationships between the NOFRFs of different masses in a one-dimensional chain type system, and allow effective methods to be developed for detecting the position of a nonlinear component in the system. The results are an extension of the authors’ previous research studies to a more general and practical case, and have considerable significance in fault diagnosis and location in engineering systems and structures.
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e-mail: pengzhike@tsinghua.org.cn
e-mail: z.lang@sheffield.ac.uk
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January 2010
Research Papers
The Nonlinear Output Frequency Response Functions of One-Dimensional Chain Type Structures
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.C.
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@sheffield.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.C.e-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@sheffield.ac.uk
J. Appl. Mech. Jan 2010, 77(1): 011007 (10 pages)
Published Online: September 30, 2009
Article history
Received:
August 1, 2007
Revised:
April 22, 2009
Published:
September 30, 2009
Citation
Peng, Z. K., and Lang, Z. Q. (September 30, 2009). "The Nonlinear Output Frequency Response Functions of One-Dimensional Chain Type Structures." ASME. J. Appl. Mech. January 2010; 77(1): 011007. https://doi.org/10.1115/1.3173604
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