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RESEARCH PAPERS

Shape and Size Synthesis of Compliant Mechanisms Using Wide Curve Theory

[+] Author and Article Information
Hong Zhou

Center for Manufacturing Research, Tennessee Technological University, Cookeville, TN 38505

Kwun-Lon Ting

Center for Manufacturing Research, Tennessee Technological University, Cookeville, TN 38505kting@tntech.edu

J. Mech. Des 128(3), 551-558 (Jul 27, 2005) (8 pages) doi:10.1115/1.2180809 History: Received October 26, 2004; Revised July 27, 2005

A wide curve is a curve with width or cross section. This paper introduces a shape and size synthesis method for compliant mechanisms based on free-form wide curve theory. With the proposed method, detailed dimensions synthesis can be performed to further improve the performance after the topology is selected. Every connection in the topology is represented by a parametric wide curve in which variable shape and size are fully described and conveniently controlled by the limited number of parameters. The shape and size synthesis is formulated as the optimization of the control parameters of wide curves corresponding to all connections in the topology. Problem-dependent objectives are optimized and practical constraints are imposed during the optimization process. The optimization problem is solved by the constrained nonlinear programing algorithm in the MATLAB Optimization Toolbox. Two examples are included to demonstrate the effectiveness of the proposed synthesis procedure.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Cubic wide Bezier curve

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Figure 2

Quadratic wide Bezier curve with self-intersection

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Figure 3

Cubic wide Bezier curve with self-intersection

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Figure 4

Three-node isoparametric degenerate continuum element

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Figure 5

Design domain, topology, loading and supporting positions in example 1

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Figure 6

The control circles of the two wide curves in example 1

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Figure 7

Optimal synthesis result of example 1

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Figure 8

Design domain, topology, input, and output positions in example 2

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Figure 9

Control circles of the three wide curves in example 2

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Figure 10

Synthesis result of example 2

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Figure 11

Synthesis result of example 2 using straight uniform beams

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