Journal ArticleDOI
Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses
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TLDR
In this paper, an extension to higher-order describing functions is realized by introducing the concept of the harmonics generator, which relates the magnitude and phase of the higher harmonics of the periodic response of the system to the magnitude of a sinusoidal excitation.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 2006-11-01. It has received 100 citations till now. The article focuses on the topics: Describing function & Harmonic (mathematics).read more
Citations
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Journal ArticleDOI
Linear System Identification in a Nonlinear Setting: Nonparametric Analysis of the Nonlinear Distortions and Their Impact on the Best Linear Approximation
TL;DR: In this paper, a linear dynamic time-invariant model is identified to describe the relationship between the reference signal and the output of the system, and the power spectrum of the unmodeled disturbances are identified to generate uncertainty bounds on the estimated model.
Journal ArticleDOI
Frequency domain analysis of a dimensionless cubic nonlinear damping system subject to harmonic input
Xingjian Jing,Zi-Qiang Lang +1 more
TL;DR: In this article, the effects of cubic nonlinear damping on the system output spectrum are theoretically studied through a dimensionless mass-spring damping system model subject to a harmonic input, based on the Volterra series approximation.
Journal ArticleDOI
Linear System Identification in a Nonlinear Setting - Nonparametric analysis of the nonlinear distortions and their impact on the best linear approximation
TL;DR: A linear dynamic time-invariant model is identified to describe the relationship between the reference signal and the output of the system and the power spectrum of the unmodeled disturbances are identified to generate uncertainty bounds on the estimated model.
Journal ArticleDOI
Frequency domain based nonlinear feed forward control design for friction compensation
DJ David Rijlaarsdam,DJ David Rijlaarsdam,P.W.J.M. Nuij,Joannes Schoukens,M Maarten Steinbuch +4 more
TL;DR: In this paper, a frequency domain based method for controller design for nonlinear systems is presented, which is applied to optimally design a feed forward friction compensator for an industrial motion stage in a transmission electron microscope.
Journal ArticleDOI
Nonlinear influence in the frequency domain: Alternating series
TL;DR: A novel frequency-domain insight is revealed into the nonlinear influence on a system, and a new method is provided for the analysis and design of nonlinear systems in the frequency domain.
References
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Harmonic analysis of a mass subject to hysteretic friction: experimentalvalidation
TL;DR: In this paper, two dedicated setups have been built, consisting of a linearly driven rolling element slideway, to specifically study the hysteretic friction behaviour. And the experiments performed on these dedicated set-ups are then repeated on one axis of an industrial pick-and-place device, driven by a linear motor and guided by commercial slideways.
Measurement technique to determine modal parameters of friction induced resonance
TL;DR: In this article, a frequency domain based measurement method is presented to determine modal parameters of friction-induced resonance in a mechanical system, which occurs in the stick-phase and is due to the tangential stiffness in the friction contact in combination with the inertia of the system.
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