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RESEARCH PAPERS

Hierarchical Arrangement of Characteristics in Product Design Optimization

[+] Author and Article Information
Masataka Yoshimura1

Optimum System Design Engineering Laboratory, Mechanical Engineering Division, Department of Aeronautics and Astronautics, Kyoto University, Sakyo-ku Kyoto, 606-8501, Japanyoshimura@prec.kyoto-u.ac.jp

Masahiko Taniguchi

Optimum System Design Engineering Laboratory, Mechanical Engineering Division, Department of Aeronautics and Astronautics, Kyoto University, Sakyo-ku Kyoto, 606-8501, Japanmatch@kf7.so-net.ne.jp

Kazuhiro Izui

Optimum System Design Engineering Laboratory, Mechanical Engineering Division, Department of Aeronautics and Astronautics, Kyoto University, Sakyo-ku Kyoto, 606-8501, Japanizui@prec.kyoto-u.ac.jp

Shinji Nishiwaki

Optimum System Design Engineering Laboratory, Mechanical Engineering Division, Department of Aeronautics and Astronautics, Kyoto University, Sakyo-ku Kyoto, 606-8501, Japanshinji@prec.kyoto-u.ac.jp

1

Corresponding author.

J. Mech. Des 128(4), 701-709 (Aug 22, 2005) (9 pages) doi:10.1115/1.2198256 History: Received February 10, 2005; Revised August 22, 2005

This paper proposes a machine product design optimization method based on the decomposition of performance characteristics, or alternatively, extraction of simpler characteristics, that is especially responsive to the detailed features or difficulties presented by specific design problems. The optimization problems examined here are expressed using hierarchical constructions of the decomposed and extracted characteristics and the optimizations are sequentially repeated, starting with groups of characteristics having conflicting characteristics at the lowest hierarchical level and proceeding to higher levels. The proposed method not only effectively provides optimum design solutions, but also facilitates deeper insight into the design optimization results, so that ideas for optimum solution breakthroughs are more easily obtained. An applied example is given to demonstrate the effectiveness of the proposed method.

Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Tradeoff relationship between product performances and Pareto optimum solution set lines

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Figure 2

Hierarchical construction of the optimization problem and determination of basic optimization units (BOU)

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Figure 3

Transmission of Pareto solutions to upper levels

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Figure 4

Correspondence of design solution points among hierarchical Pareto optimum solution sets

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Figure 5

Applied example model

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Cross-sectional shapes of structural members and contact surfaces

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Receptance frequency response

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Figure 8

Hierarchical construction of the optimization problem and basic optimization units at each hierarchical level

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Figure 9

Pareto optimum solution line in BOU5

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Figure 10

Pareto optimum solution line in BOU3

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Figure 11

Pareto optimum solution line in BOU4

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Figure 12

Pareto optimum solution line in BOU6

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Figure 13

Pareto optimum solution line in BOU2

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Figure 14

Pareto optimum solution line in BOU1

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Figure 15

Hierarchical construction of the optimization problem and relationships of Pareto optimum solutions at each hierarchical level

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