Nonlinear analysis of a class of inversion-based compliant cross-spring pivots

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dc.contributor.authorLi, Shiyao
dc.contributor.authorHao, Guangbo
dc.contributor.authorChen, Yingyue
dc.contributor.authorZhu, Jiaxiang
dc.contributor.authorBerselli, Giovanni
dc.date.accessioned2022-05-12T09:31:24Z
dc.date.available2022-05-12T09:31:24Z
dc.date.issued2021-11-11
dc.date.updated2022-05-12T09:20:00Z
dc.description.abstractThis article presents a nonlinear model of an inversion-based generalized cross-spring pivot (IG-CSP) using the beam constraint model (BCM), which can be employed for the geometric error analysis and the characteristic analysis of an inversion-based symmetric cross-spring pivot (IS-CSP). The load-dependent effects are classified into two ways, including the structure load-dependent effects and beam load-dependent effects, where the loading positions, geometric parameters of elastic flexures, and axial forces are the main contributing factors. The closed-form load–rotation relationships of an IS-CSP and a noninversion-based symmetric cross-spring pivot (NIS-CSP) are derived with consideration of the three contributing factors for analyzing the load-dependent effects. The load-dependent effects of IS-CSP and NIS-CSP are compared when the loading position is fixed. The rotational stiffness of the IS-CSP or NIS-CSP can be designed to increase, decrease, or remain constant with axial forces, by regulating the balance between the loading positions and the geometric parameters. The closed-form solution of the center shift of an IS-CSP is derived. The effects of axial forces on the IS-CSP center shift are analyzed and compared with those of a NIS-CSP. Finally, based on the nonlinear analysis results of IS-CSP and NIS-CSP, two new compound symmetric cross-spring pivots are presented and analyzed via analytical and finite element analysis models.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLi, S., Hao, G., Chen, Y., Zhu, J. and Berselli, G. (2022) 'Nonlinear Analysis of a Class of Inversion-Based Compliant Cross-Spring Pivots', Journal Of Mechanisms And Robotics-Transactions Of The ASME, 14 (3), 031007 (14 pp). doi: 10.1115/1.4052514en
dc.identifier.doi10.1115/1.4052514en
dc.identifier.issn1942-4302
dc.identifier.issn1942-4310
dc.identifier.issued3en
dc.identifier.journaltitleJournal of Mechanisms and Roboticsen
dc.identifier.otherPaper No: JMR-21-1275en
dc.identifier.startpage031007en
dc.identifier.urihttps://hdl.handle.net/10468/13170
dc.identifier.volume14en
dc.language.isoenen
dc.publisherAmerican Society of Mechanical Engineers, ASMEen
dc.relation.urihttps://asmedigitalcollection.asme.org/mechanismsrobotics/article-abstract/14/3/031007/1120542/Nonlinear-Analysis-of-a-Class-of-Inversion-Based
dc.rights© 2021 by ASME. This accepted manuscript version is made available under a CC-BY licenseen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subjectCompliant cross-spring pivoten
dc.subjectLoad-dependent effectsen
dc.subjectLoading positionsen
dc.subjectCenter shiften
dc.subjectNonlinear analysisen
dc.subjectCompliant mechanismsen
dc.titleNonlinear analysis of a class of inversion-based compliant cross-spring pivotsen
dc.typeArticle (peer-reviewed)en
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