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Research Papers

A Kinetoelastic Formulation of Compliant Mechanism Optimization

[+] Author and Article Information
Michael Yu Wang1

Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Shatin, NT, Hong Kongyuwang@mae.cuhk.edu.hk

1

Corresponding author.

J. Mechanisms Robotics 1(2), 021011 (Jan 12, 2009) (10 pages) doi:10.1115/1.3056476 History: Received May 15, 2008; Revised October 30, 2008; Published January 12, 2009

The current design algorithms for compliant mechanisms often generate solutions that imitate rigid-body linkages by means of point flexures or flexure pivots, by using the popular spring model formulation. This paper presents a kinetoelastic formulation for compliant mechanism optimization. With a state equation of the mechanism defined by the elasticity theory, the model incorporates not only the kinematic function requirements of the mechanism but, more importantly, the necessary conditions on the compliance characteristics of the mechanism’s structure. The kinematics of the compliant mechanism is defined on rigid bodies of input/output ports and is related to a set of kinetoelastic factors of the mechanism’s compliance matrix. The kinetoelastic formulation is applied to the problem of optimizing a compliant translational joint, producing compliant designs with compliance properties such as the leaf spring type sliding joint as opposed to the notch-type joint. This paper represents an initial development toward a more general methodology for compliant mechanism optimization.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Revolute joint of rigid body; (b) point flexure of structure; (c) one-node connection in a finite element model

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Figure 2

A schematic of a monolithic compliant mechanism

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Figure 3

The kinetoelastic model of a compliant mechanism with rigid-body input port I and output port O

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Figure 4

Compliant translational joints: (a) notch flexure joint and (b) leaf spring flexure joint

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Figure 5

Design domain of the kinetostatic model for the compliant translational joint

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Figure 6

Compliant translational joints of the conventional kinetostatic design formulation

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Figure 7

Compliant translational joints of the proposed kinetoelastic design formulation

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