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Generalized Modeling Method for Compliant Mechanisms considering Rigid-body Deformations
Y. M. Choi(최영만),H. H. Lim(임현호) Korean Society for Precision Engineering 2021 한국정밀공학회 학술발표대회 논문집 Vol.2021 No.11월
The multi-rigid-body matrix method (MRBMM) is a generalized modeling method for obtaining the displacement, stress, and modal information of a compliant mechanism without performing inner-force analysis. MRBMM discretizes a compliant mechanism into flexible hinges and rigid bodies to implement a mass-spring model. The method designs the multi-body spring mechanism using coordinate transformations in a matrix form. In MRBMM, the deformations of the element assumed to be a rigid body are ignored. In some cases, such as displacement amplification mechanisms, non-negligible deformation occurs even in elements other than the flexible hinge. In this paper, we present a multi-compliant-body matrix-method that considers a rigid body as a compliant element, while retaining the generalized framework of the MRBMM. In the MCBMM, a rigid body in the MRBMM is segmented into a certain number of body nodes and flexure hinges. For bridge type displacement amplification mechanism, MCBMM yields the most accurate amplification ratio among several previous modeling methods. Finally, we confirmed that the MCBMM shows improved accuracy in estimating static and dynamic performances of compliant mechanism through an example of XY positioning mechanism with a double-lever mechanism.