Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design

A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum...

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Published inIEEE/ASME transactions on mechatronics Vol. 19; no. 1; pp. 171 - 183
Main Author Jing, Xingjian
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Bandwidths
Computation
Computational modeling
Computer simulation
Data models
Design engineering
Dynamical systems
Estimation
Frequency domain
Frequency domain analysis
Frequency domains
Mathematical analysis
Mathematical models
nonlinear output spectrum
Nonlinear systems
Nonlinearity
Polynomials
signal processing
Vectors
vehicle suspension system
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Abstract A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum and system characteristic parameters of interest (including frequency, nonlinear parameters, and excitation magnitude), and can provide a significant insight into nonlinear analysis and design in the frequency domain. Given some simulation or experimental output data of a nonlinear system, the nCOS function of the system can be accurately determined up to any high nonlinear orders with less simulation trials and computation cost compared with a pure simulation-based study or traditional theoretical computations. Moreover, the method can also be used to accurately determine the linear and nonlinear components in the nonlinear output frequency response (or an output spectrum) of a nonlinear system. These results are definitely of significance to nonlinear analysis and design, nonlinear signal processing, system identification, fault detection, etc., in practice. Examples and case studies including analysis of a nonlinear vehicle suspension system are given to illustrate the results.
AbstractList A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum and system characteristic parameters of interest (including frequency, nonlinear parameters, and excitation magnitude), and can provide a significant insight into nonlinear analysis and design in the frequency domain. Given some simulation or experimental output data of a nonlinear system, the nCOS function of the system can be accurately determined up to any high nonlinear orders with less simulation trials and computation cost compared with a pure simulation-based study or traditional theoretical computations. Moreover, the method can also be used to accurately determine the linear and nonlinear components in the nonlinear output frequency response (or an output spectrum) of a nonlinear system. These results are definitely of significance to nonlinear analysis and design, nonlinear signal processing, system identification, fault detection, etc., in practice. Examples and case studies including analysis of a nonlinear vehicle suspension system are given to illustrate the results.
Author Xingjian Jing
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Snippet A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear...
A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept--nonlinear...
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SubjectTerms Bandwidths
Computation
Computational modeling
Computer simulation
Data models
Design engineering
Dynamical systems
Estimation
Frequency domain
Frequency domain analysis
Frequency domains
Mathematical analysis
Mathematical models
nonlinear output spectrum
Nonlinear systems
Nonlinearity
Polynomials
signal processing
Vectors
vehicle suspension system
Title Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design
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