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.
Skip Nav Destination
e-mail: pengzhike@tsinghua.org.cn
e-mail: z.lang@sheffield.ac.uk
Article navigation
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
Download citation file:
Get Email Alerts
Cited By
Radial Deflection of Ring-Stiffened Cylinders Under Hydrostatic Pressure
J. Appl. Mech (December 2024)
Related Articles
On the Generalized Frequency Response Functions of Volterra Systems
J. Dyn. Sys., Meas., Control (November,2009)
System Identification of Nonlinear Mechanical Systems Using Embedded Sensitivity Functions
J. Vib. Acoust (December,2005)
Nonlinear Parameter Estimation in Rotor-Bearing System Using Volterra Series and Method of Harmonic Probing
J. Vib. Acoust (July,2003)
Analysis of Locally Nonlinear MDOF Systems Using Nonlinear Output Frequency Response Functions
J. Vib. Acoust (October,2009)
Related Proceedings Papers
Related Chapters
Cardiac Murmur Classification Based on Analysis of the Phonocardiogram to Estimate the Number of Degrees of Freedom of the Heart Modelled as a Nonlinear System
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16
Digital Transformation by the Implementation of the True Digital Twin Concept and Big Data Technology for Structural Integrity Management
Ageing and Life Extension of Offshore Facilities
Nonlinear System Multi-Step Predictive Control Based Neural Network Model and Genetic Algorithm
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3