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Research Papers

Topology Optimization of Compliant Mechanisms Using the Improved Quadrilateral Discretization Model

[+] Author and Article Information
Hong Zhou

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

Avinash R. Mandala

Department of Mechanical and Industrial Engineering,  Texas A&M University-Kingsville, Kingsville, TX 78363mandalaavinash@ymail.com

J. Mechanisms Robotics 4(2), 021007 (Apr 12, 2012) (9 pages) doi:10.1115/1.4006194 History: Received August 20, 2011; Revised January 13, 2012; Published April 06, 2012; Online April 12, 2012

The improved quadrilateral discretization model for the topology optimization of compliant mechanisms is introduced in this paper. The design domain is discretized into quadrilateral design cells and each quadrilateral design cell is further subdivided into triangular analysis cells. All kinds of dangling quadrilateral design cells and sharp-corner triangular analysis cells are removed in the improved quadrilateral discretization model to promote the material utilization. Every quadrilateral design cell or triangular analysis cell is either solid or void to implement the discrete topology optimization and eradicate the topology uncertainty caused by intermediate material states. The local stress constraint is directly imposed on each triangular analysis cell to make the synthesized compliant mechanism safe. The binary bit-array genetic algorithm is used to search for the optimal topology to circumvent the geometrical bias against the vertical design cells. Two topology optimization examples of compliant mechanisms are solved based on the proposed improved quadrilateral discretization model to verify its effectiveness.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The regular quadrilateral discretization model

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Figure 2

A topology with dangling quadrilaterals

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Figure 3

A topology without dangling quadrilateral

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Figure 4

topology without sharp corner

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Figure 5

A subdivided quadrilateral design cell

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Figure 6

The two possible point connections among the four connected quadrilateral design cells

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Figure 7

The four neighboring quadrilateral design cells around a design cell

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Figure 8

The three-block crossover

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Figure 9

The design domain in example 1

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Figure 10

The discretized design domain in example 1

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Figure 11

The subdivided design domain in example 1

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Figure 12

The topology optimization results of example 1 from the improved quadrilateral discretization

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Figure 13

The geometric advantage of example 1 from the improved quadrilateral discretization

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Figure 14

The constraints of example 1 from the improved quadrilateral discretization

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Figure 15

The topology optimization results of example 1 from the regular quadrilateral discretization

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Figure 16

The geometric advantage of example 1 from the regular quadrilateral discretization

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Figure 17

The constraints of example 1 from the regular quadrilateral discretization

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Figure 18

The design domain in example 2

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Figure 19

The discretized design domain in example 2

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Figure 20

The subdivided design domain in example 2

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Figure 21

The topology optimization results of example 2 from the improved quadrilateral discretization

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Figure 22

The mechanical advantage of example 2 from the improved quadrilateral discretization

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Figure 23

The constraints of example 2 from the improved quadrilateral discretization

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Figure 24

The topology optimization results of example 2 from the regular quadrilateral discretization

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Figure 25

The mechanical advantage of example 2 from the regular quadrilateral discretization

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Figure 26

The constraints of example 2 from the regular quadrilateral discretization

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