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

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Li, Shiyao
Hao, Guangbo
Chen, Yingyue
Zhu, Jiaxiang
Berselli, Giovanni
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American Society of Mechanical Engineers, ASME
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This 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.
Compliant cross-spring pivot , Load-dependent effects , Loading positions , Center shift , Nonlinear analysis , Compliant mechanisms
Li, 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: 10.1115/1.4052514