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Research Papers

Geometric Modeling and Synthesis of Spatial Multimaterial Compliant Mechanisms and Structures Using Three-Dimensional Multilayer Wide Curves

[+] Author and Article Information
Hong Zhou

Department of Mechanical & Industrial Engineering, Texas A&M University-Kingsville, Kingsville, TX 78363hong.zhou@tamuk.edu

Kwun-Lon Ting

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

J. Mech. Des 131(1), 011005 (Dec 11, 2008) (8 pages) doi:10.1115/1.3013355 History: Received April 03, 2008; Revised August 26, 2008; Published December 11, 2008

A 3D multilayer wide curve is a spatial curve with variable cross sections and multiple materials. The performance of multimaterial compliant mechanisms and structures is enhanced by integrating multiple materials into one-piece configurations. This paper introduces a geometric modeling method for spatial multimaterial compliant mechanisms and structures by using 3D multilayer wide curves. Based on the introduced modeling method, a geometric synthesis approach is proposed. In this paper, every connection in a spatial multimaterial compliant mechanism or structure is represented by a 3D multilayer wide curve and the whole compliant mechanism or structure is modeled as a set of connected wide curves. The geometric modeling and synthesis are considered as the generation and optimization of the control parameters of the corresponding 3D multilayer wide curves. The performance of spatial multimaterial compliant mechanisms and structures is evaluated by the isoparametric degenerate-continuum nonlinear finite element procedure. The problem-dependent objectives are optimized and the practical constraints are imposed during the synthesis process. The effectiveness of the proposed geometric modeling and synthesis procedures is verified by the demonstrated examples.

Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 6

A 3D wide curve with loop self-intersection

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Figure 7

A set of consecutive cross sections of a 3D wide curve

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Figure 8

Two space circular sections on two intersected planes

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Figure 9

Two space circular sections with no interference

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Figure 10

The topology, loading and supporting positions, design domain in Example 1

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Figure 11

The control balls of the structure in Example 1

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Figure 12

The optimal synthesis result in Example 1

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Figure 13

The topology, input and output positions, and design domain in Example 2

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Figure 14

The control balls of the compliant gripper in Example 2

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The optimal synthesis result in Example 2

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Figure 5

A 3D wide curve with curvature self-intersection

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Figure 4

A 3D two-layer quintic wide Bezier curve with five materials

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Figure 3

A 3D two-layer quintic wide Bezier curve with two materials

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Figure 2

A 3D one-layer quintic wide Bezier curve with three materials

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Figure 1

A 3D one-layer quintic wide Bezier curve with one material

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