Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory

In this paper, the inherent stability problem for multibody systems with variable-stiffness springs (VSSs) is studied. Since multibody systems with VSSs may consume energy during the variation of stiffness, the inherent stability is not always ensured. The motivation of this paper is to present suff...

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Autores principales:	Tianyang Hua, Yinlong Hu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/29065fb5970a4f19a79fab1e8d834f7c
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spelling	oai:doaj.org-article:29065fb5970a4f19a79fab1e8d834f7c2021-11-22T01:10:48ZInherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory1099-052610.1155/2021/8662275https://doaj.org/article/29065fb5970a4f19a79fab1e8d834f7c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8662275https://doaj.org/toc/1099-0526In this paper, the inherent stability problem for multibody systems with variable-stiffness springs (VSSs) is studied. Since multibody systems with VSSs may consume energy during the variation of stiffness, the inherent stability is not always ensured. The motivation of this paper is to present sufficient conditions that ensure the inherent stability of multibody systems with VSSs. The absolute stability theory is adopted, and N-degree-of-freedom (DOF) systems with VSSs are formulated as a Lur’e form. Furthermore, based on the circle criterion, sufficient conditions for the inherent stability of the systems are obtained. In order to verify these conditions, both frequency-domain and time-domain numerical simulations are conducted for several typical low-DOF systems.Tianyang HuaYinlong HuHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 Tianyang Hua Yinlong Hu Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
description	In this paper, the inherent stability problem for multibody systems with variable-stiffness springs (VSSs) is studied. Since multibody systems with VSSs may consume energy during the variation of stiffness, the inherent stability is not always ensured. The motivation of this paper is to present sufficient conditions that ensure the inherent stability of multibody systems with VSSs. The absolute stability theory is adopted, and N-degree-of-freedom (DOF) systems with VSSs are formulated as a Lur’e form. Furthermore, based on the circle criterion, sufficient conditions for the inherent stability of the systems are obtained. In order to verify these conditions, both frequency-domain and time-domain numerical simulations are conducted for several typical low-DOF systems.
format	article
author	Tianyang Hua Yinlong Hu
author_facet	Tianyang Hua Yinlong Hu
author_sort	Tianyang Hua
title	Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
title_short	Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
title_full	Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
title_fullStr	Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
title_full_unstemmed	Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory
title_sort	inherent stability of multibody systems with variable-stiffness springs via absolute stability theory
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/29065fb5970a4f19a79fab1e8d834f7c
work_keys_str_mv	AT tianyanghua inherentstabilityofmultibodysystemswithvariablestiffnessspringsviaabsolutestabilitytheory AT yinlonghu inherentstabilityofmultibodysystemswithvariablestiffnessspringsviaabsolutestabilitytheory
_version_	1718418329351225344

Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory

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