A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section | Zendy

Venkatasubramanian Kalpathy Venkiteswaran | Zendy; HaiJun Su | Zendy

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A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section

Author(s) -

Venkatasubramanian Kalpathy Venkiteswaran,

HaiJun Su

Publication year - 2018

Publication title -

journal of mechanical design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.911

H-Index - 120

eISSN - 1528-9001

pISSN - 1050-0472

DOI - 10.1115/1.4040628

Subject(s) - compliant mechanism , kinematics , curvature , discretization , revolute joint , finite element method , rigid body , displacement (psychology) , planar , structural engineering , topology (electrical circuits) , computer science , geometry , engineering , mechanical engineering , mathematical analysis , mathematics , physics , classical mechanics , psychology , computer graphics (images) , electrical engineering , constraint (computer aided design) , psychotherapist

Rigid-body discretization of continuum elements was developed as a method for simplifying the kinematics of otherwise complex systems. Recent work on pseudo-rigid-body (PRB) models for compliant mechanisms has opened up the possibility of using similar concepts for synthesis and design, while incorporating various types of flexible elements within the same framework. In this paper, an idea for combining initially curved and straight beams within planar compliant mechanisms is developed to create a set of equations that can be used to analyze various designs and topologies. A PRB model with three revolute joints is derived to approximate the behavior of initially curved compliant beams, while treating straight beams as a special case (zero curvature). The optimized model parameter values are tabled for a range of arc angles. The general kinematic and static equations for a single-loop mechanism are shown, with an example to illustrate accuracy for shape and displacement . Finally, this framework is used for the design of a compliant constant force mechanism to illustrate its application, and comparisons with finite element analysis (FEA) are provided for validation.

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