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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8662275 |
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| author | Tianyang Hua Yinlong Hu |
| author_facet | Tianyang Hua Yinlong Hu |
| author_sort | Tianyang Hua |
| collection | DOAJ |
| 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 |
| id | doaj-art-29065fb5970a4f19a79fab1e8d834f7c |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-29065fb5970a4f19a79fab1e8d834f7c2025-02-03T06:44:02ZengWileyComplexity1099-05262021-01-01202110.1155/2021/8662275Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability TheoryTianyang Hua0Yinlong Hu1College of Energy and Electrical EngineeringCollege of Energy and Electrical EngineeringIn 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.http://dx.doi.org/10.1155/2021/8662275 |
| spellingShingle | Tianyang Hua Yinlong Hu Inherent Stability of Multibody Systems with Variable-Stiffness Springs via Absolute Stability Theory Complexity |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/8662275 |
| work_keys_str_mv | AT tianyanghua inherentstabilityofmultibodysystemswithvariablestiffnessspringsviaabsolutestabilitytheory AT yinlonghu inherentstabilityofmultibodysystemswithvariablestiffnessspringsviaabsolutestabilitytheory |