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TECHNICAL PAPERS

Decomposition-Based Assembly Synthesis Based on Structural Considerations

[+] Author and Article Information
F. A. Yetis, K. Saitou

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109

J. Mech. Des 124(4), 593-601 (Nov 26, 2002) (9 pages) doi:10.1115/1.1519276 History: Received February 01, 2000; Revised March 01, 2001; Online November 26, 2002
Copyright © 2002 by ASME
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References

Figures

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Example of decomposition of an automobile body front
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Structural topology design method: The right figure shows a structure with maximum stiffness occupying 40% of the design domain. The result is obtained by using Topology Optimization Web site at the Technical University of Denmark (http://www.topopt.dtu.dk/).
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Transformation of a structural topology optimization output to a product topology graph. (a) output image, (b) extraction of product topology, and (c) resulting product topology graph. The I-beam like image was adopted from 20.
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An example of product topology extraction: (a) original image, (b) dilation, (c) skeletonization, (d) initial Hough transform (shown in θ-ρ space), (e) primary line extraction, and (f) topological segmentation.
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Decomposition of a product topology graph and the corresponding product geometry (a) before decomposition and (b) after decomposition
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First half of chromosome with binary information
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Second half of chromosome with mating angle information
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Possible mating angles at the joints
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Cross-over of two chromosomes.
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Result of topology extraction (a) original image, (b) dilation, (c) skeletonization, (d) initial Hough transform (shown in θ-ρ space), (e) primary line extraction, and (f ) topological segmentation
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Construction of the product topology graph: (a) extracted product topology and (b) the resulting product topology graph
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von Mises stress plot of the original bitmap image. The gray scale table on the left ranges from 183 MPa (light) to 12.3 GPa (dark). Maximum stress in the structure is approximately 500 MPa.
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Resulting decomposition of (a) the product topology graph, and (b) the structure decomposed into 3 components
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Optimization history of 3 component decomposition of the cantilever
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Resulting decomposition of (a) the product topology graph, and (b) the structure decomposed into 4 components
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Structural topology design of a bridge-like structure for maximum stiffness occupying 30% of the design domain
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Result of topology extraction (a) original image, (b) dilation, (c) skeletonization, (d) initial Hough transform (shown in θ-ρ space), (e) primary line extraction, and (f ) topological segmentation
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Construction of the product topology graph: (a) extracted product topology and (b) the resulting product topology graph
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von Mises stress plot of the original bitmap image. The gray scale table on the left ranges from 71 MPa (light) to 11.6 GPa (dark). Maximum stress in the structure is approximately 500 MPa.
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Resulting decomposition of (a) the product topology graph, and (b) the structure decomposed into 4 components
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Resulting decomposition of (a) the product topology graph, and (b) the structure decomposed into 6 components

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