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TECHNICAL BRIEFS

Layout Optimization of Shapeable Components With Extended Pattern Search Applied to Transmission Design

[+] Author and Article Information
Su Yin, Jonathan Cagan

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA

Peter Hodges

Product Design Engineer, Vehicle Systems Engineering, Ford Motor Company, Dearborn, MI 48121, USA

J. Mech. Des 126(1), 188-191 (Mar 11, 2004) (4 pages) doi:10.1115/1.1637663 History: Received April 01, 2001; Online March 11, 2004
Copyright © 2004 by ASME
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References

Yin,  S., and Cagan,  J., 2000, “An Extended Pattern Search Algorithm for Three-Dimensional Component Layout,” ASME J. Mech. Des., 122(1), pp. 102–108.
Cagan,  J., Shimada,  K., and Yin,  S., 2002, “A Survey of Computational Approaches to Three-dimensional Layout Problems,” Comput.-Aided Des., 34(8), pp. 597–611.
Hooke,  R., and Jeeves,  T. A., 1961, “Direct Search Solution of Numerical and Statistical Problems,” J. Assoc. Comput. Mach., 8(2), pp. 212–229.
Torczon,  V., and Trosset,  M., 1997, “From Evolutionary Operation to Parallel Direct Search: Pattern Search Algorithms for Numerical Optimization,” Computing Science and Statistics, 29 .
De Bont,  F. M. J., Aarts,  E. H. L., Meehan,  P., and O’Brien,  C. G., 1988, “Placement of Shapeable Blocks,” Philips J. Res., 43, pp. 1–22.
Kolli, A., Cagan, J., and Rutenbar, R. A., 1996, “Packing of Generic, Three Dimensional Components Based on Multi-Resolution Modeling,” Proceedings of the 22nd ASME Design Automation Conference (DAC-1479), Irvine, CA, August 19–22.
Cagan,  J., Degentesh,  D., and Yin,  S., 1998, “A Simulated Annealing-Based Algorithm Using Hierarchical Models for General Three-Dimensional Component Layout,” Comput.-Aided Des., 30(10), pp. 781–790.
Chatterjee,  G., and Tsai,  L. W., 1996, “Computer Aided Sketching of Epicyclic-Type Automatic Transmission Gear Trains,” ASME J. Mech. Des., 118(3), pp. 405–411.Ramakrishnan, B., and Olson, D. G., 1989, “Efficient Approach for Generating Solid-Shaded Images of Planetary Gear Trains,” ASME Computers in Engineering Conference and Exposition, Jul 30–Aug 3, 1989, pp. 111–116.
Ramakrishnan, B., and Olson, D. G., 1989, “Efficient Approach for Generating Solid Shaded Images of Planetary Gear Trains,” ASME Computers in Engineering Conference and Exposition, Jul 30–Aug. 3, 1989.
Yin, S., 2000, “A Pattern Search-Based Algorithm for Automated Product Layout,” Ph.D. Dissertation, Carnegie Mellon University, Pittsburgh, PA.
Szyḱman,  S., Cagan,  J., and Weisser,  P., 1998, “An Integrated Approach to Optimal Three Dimensional Layout and Routing,” ASME J. Mech. Des., 120(3), pp. 510–512.

Figures

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Shapeable Component Quadtree Representations: (a) No Interference before Scaling; (b) Interference after Scaling.
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An Automatic Transmission Assembly: (a) The Cross-Section View; (b) The Layout Space and Components.
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A Stick Diagram of Component Connections in a Transmission
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The Original Transmission Layout–A Simplified Representation
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Two Solutions to the Transmission Layout Problem

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