Nonlinear systems - describing functions analysis and using

The paper presents a basic description and examples of the use of so called descriptive functions, allowing analysing the influence of inherent and indispensable components of all mechatronic systems mechanical subsystems - so called hard nonlinearities. These parts “causing” - in addition to the ce...

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Main Author: Úředníček Zdenêk
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201821002021
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spelling doaj-74c6b28336b548d7a07f2a483c5c1f802021-02-02T00:47:28ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012100202110.1051/matecconf/201821002021matecconf_cscc2018_02021Nonlinear systems - describing functions analysis and usingÚředníček ZdenêkThe paper presents a basic description and examples of the use of so called descriptive functions, allowing analysing the influence of inherent and indispensable components of all mechatronic systems mechanical subsystems - so called hard nonlinearities. These parts “causing” - in addition to the centrifugal and Coriolis generalized forces- the nonlinearity of the system, can be analysed by the abovementioned method from the point of view of their origin and the estimation of the basic parameters of their frequent consequences - so-called limit cycles. After a short introduction, which introduces and explains describing functions using the example of a nonlinear system taken from the literature, some of the socalled hard nonlinear subsystems (such as the mechanical chain of robots) are shown to be used. The paper is the first part of a more extensive description analysis of nonlinear systems concept using these functions in order to enable analysis and prediction of limit cycles.https://doi.org/10.1051/matecconf/201821002021
collection DOAJ
language English
format Article
sources DOAJ
author Úředníček Zdenêk
spellingShingle Úředníček Zdenêk
Nonlinear systems - describing functions analysis and using
MATEC Web of Conferences
author_facet Úředníček Zdenêk
author_sort Úředníček Zdenêk
title Nonlinear systems - describing functions analysis and using
title_short Nonlinear systems - describing functions analysis and using
title_full Nonlinear systems - describing functions analysis and using
title_fullStr Nonlinear systems - describing functions analysis and using
title_full_unstemmed Nonlinear systems - describing functions analysis and using
title_sort nonlinear systems - describing functions analysis and using
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description The paper presents a basic description and examples of the use of so called descriptive functions, allowing analysing the influence of inherent and indispensable components of all mechatronic systems mechanical subsystems - so called hard nonlinearities. These parts “causing” - in addition to the centrifugal and Coriolis generalized forces- the nonlinearity of the system, can be analysed by the abovementioned method from the point of view of their origin and the estimation of the basic parameters of their frequent consequences - so-called limit cycles. After a short introduction, which introduces and explains describing functions using the example of a nonlinear system taken from the literature, some of the socalled hard nonlinear subsystems (such as the mechanical chain of robots) are shown to be used. The paper is the first part of a more extensive description analysis of nonlinear systems concept using these functions in order to enable analysis and prediction of limit cycles.
url https://doi.org/10.1051/matecconf/201821002021
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