Global bifurcation and circuit simulation of a soft-impacting system.
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| Title: | Global bifurcation and circuit simulation of a soft-impacting system. |
|---|---|
| Authors: | Shi, Yuqing1,2 shiyq@mail.lzjtu.cn, He, Longfei1,2 19861762517@163.com |
| Source: | Journal of Vibroengineering. May2026, Vol. 28 Issue 3, p720-737. 18p. |
| Subjects: | Bifurcation theory, Simulation Program with Integrated Circuit Emphasis, Poincare maps (Mathematics), Single-degree-of-freedom systems, Nonlinear mechanics, Lyapunov exponents |
| Abstract: | Considering that the dynamic analysis of mechanical systems with clearance needs to compile complex calculation programs, and high-precision numerical simulation is limited by computer performance. Dynamics of a two-degree-of-freedom system with soft impact are revealed from the perspective of equivalent circuit simulation in this paper. By using bifurcation diagrams and phase diagrams based on Poincaré mapping, as well as Lyapunov exponents, the mechanism of single-period multi-impact 1-p-p motion and chattering impact under low-frequency conditions was revealed. In the MultiSim14.0 environment, a circuit diagram equivalent to the mathematical model of the system is designed by using the addition circuit, integration circuit, and inverter circuit composed of operational amplifiers, resistors, and capacitors. The nonlinear module is realized by the saturation characteristics of the operational amplifier. It is found that the output waveform of the virtual oscilloscope has a very good agreement with that obtained from the numerical simulation. Equivalent circuit test method not only has fast operation speed and less time consumption, but also can realize real-time dynamic adjustment of parameters, which provides a reference method for the dynamic research of mechanical system with clearance. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Vibroengineering is the property of Extrica and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 193853694 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Global bifurcation and circuit simulation of a soft-impacting system. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Shi%2C+Yuqing%22">Shi, Yuqing</searchLink><relatesTo>1,2</relatesTo><i> shiyq@mail.lzjtu.cn</i><br /><searchLink fieldCode="AR" term="%22He%2C+Longfei%22">He, Longfei</searchLink><relatesTo>1,2</relatesTo><i> 19861762517@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Vibroengineering%22">Journal of Vibroengineering</searchLink>. May2026, Vol. 28 Issue 3, p720-737. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Bifurcation+theory%22">Bifurcation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+Program+with+Integrated+Circuit+Emphasis%22">Simulation Program with Integrated Circuit Emphasis</searchLink><br /><searchLink fieldCode="DE" term="%22Poincare+maps+%28Mathematics%29%22">Poincare maps (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Single-degree-of-freedom+systems%22">Single-degree-of-freedom systems</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+mechanics%22">Nonlinear mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Considering that the dynamic analysis of mechanical systems with clearance needs to compile complex calculation programs, and high-precision numerical simulation is limited by computer performance. Dynamics of a two-degree-of-freedom system with soft impact are revealed from the perspective of equivalent circuit simulation in this paper. By using bifurcation diagrams and phase diagrams based on Poincaré mapping, as well as Lyapunov exponents, the mechanism of single-period multi-impact 1-p-p motion and chattering impact under low-frequency conditions was revealed. In the MultiSim14.0 environment, a circuit diagram equivalent to the mathematical model of the system is designed by using the addition circuit, integration circuit, and inverter circuit composed of operational amplifiers, resistors, and capacitors. The nonlinear module is realized by the saturation characteristics of the operational amplifier. It is found that the output waveform of the virtual oscilloscope has a very good agreement with that obtained from the numerical simulation. Equivalent circuit test method not only has fast operation speed and less time consumption, but also can realize real-time dynamic adjustment of parameters, which provides a reference method for the dynamic research of mechanical system with clearance. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Vibroengineering is the property of Extrica and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.21595/jve.2026.25786 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 720 Subjects: – SubjectFull: Bifurcation theory Type: general – SubjectFull: Simulation Program with Integrated Circuit Emphasis Type: general – SubjectFull: Poincare maps (Mathematics) Type: general – SubjectFull: Single-degree-of-freedom systems Type: general – SubjectFull: Nonlinear mechanics Type: general – SubjectFull: Lyapunov exponents Type: general Titles: – TitleFull: Global bifurcation and circuit simulation of a soft-impacting system. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Shi, Yuqing – PersonEntity: Name: NameFull: He, Longfei IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13928716 Numbering: – Type: volume Value: 28 – Type: issue Value: 3 Titles: – TitleFull: Journal of Vibroengineering Type: main |
| ResultId | 1 |
