Journal ArticleDOI
Analysing non-linear systems in the frequency domain--II. The phase response
Stephen A. Billings,H. Zhang +1 more
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TLDR
In this paper, the phase response function is analyzed and interpreted to provide a clear understanding of phase Non-linear systems which include delay elements are also discussed and simulations of both continuous and discrete time nonlinear systems are included to demonstrate the concepts involved.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 1994-01-01. It has received 25 citations till now. The article focuses on the topics: Linear phase & Group delay and phase delay.read more
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Crack detection using nonlinear output frequency response functions - an experimental study
TL;DR: In this paper, the nonlinear output frequency response functions (NOFRFs) are used to detect cracks in beams using frequency domain information. But the results show that the NOFRFs are a sensitive indicator of the presence of cracks providing the excitation is of an appropriate strength.
Journal ArticleDOI
Crack detection using nonlinear output frequency response functions
TL;DR: In this article, nonlinear output frequency response functions (NOFRFs) are introduced to detect cracks in beams using frequency domain information, and the results show that the NOFRFs are a sensitive indicator of the presence of cracks providing the excitation is of an appropriate intensity.
Journal ArticleDOI
Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis
TL;DR: In this article, the harmonic components in the nonlinear system response to a sinusoidal input calculated using nonlinear output frequency response functions (NOFRFs) are one of the solutions obtained using the harmonic balance method (HBM).
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Feasibility study of structural damage detection using NARMAX modelling and Nonlinear Output Frequency Response Function based analysis
TL;DR: In this article, a feasibility study of the application of the well-known Nonlinear Auto-Regressive Moving Average with eXogenous Inputs (NARMAX) modelling method and the NOFRFs-based analyses to the detection of damage in engineering structures is presented.
Journal ArticleDOI
Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions
TL;DR: In this article, the concept of nonlinear output frequency response functions (NOFRFs) is extended to the harmonic input case, and an input-independent relationship is found between the NOFRFs and the generalized frequency response function (GFRFs).