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Impact of nonlinear friction on frequency response function measurements

TLDR
In this paper, the impact of nonlinear friction on frequency response function (FRF) measurements of mechanical systems with non-linear friction is discussed and a linear approximation of the system and a reliable estimate of the level of systematic and stochastic nonlinear distortions are derived using a single special odd multisine excitation.
Abstract
This paper discusses the impact of nonlinear friction on frequency response function (FRF) measurements of mechanical systems with nonlinear friction. Having an idea of the level of nonlinear distortion is valuable information for robust linear control design: it allows to estimate the level of accuracy of a linear approximation of the system under consideration. The impact of nonlinear distortions is measured using the multisine excitation approach presented in [5]. A linear approximation of the system and a reliable estimate of the level of systematic and stochastic nonlinear distortions are derived using a single special odd multisine excitation. This is shown by means of simulations of mechanical system with friction. The friction model is nonlinear and integrates sliding and presliding behaviour [7].

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References
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Journal ArticleDOI

A new model for control of systems with friction

TL;DR: A new dynamic model for friction is proposed that captures most of the friction behavior that has been observed experimentally, including the Stribeck effect, hysteresis, spring-like characteristics for stiction, and varying break-away force.
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An integrated friction model structure with improved presliding behaviour for accurate friction compensation

TL;DR: The general friction model allows modeling of individual friction systems through the identification of a set of parameters that determine the complete behavior of the system and has been used to identify the friction behavior of a linear slide as well as that of the KUKA robot.
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