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Solving regional constraints in components layout design based on geometric gadgets

Published online by Cambridge University Press:  27 February 2009

H. Suzuki
Affiliation:
Department of Precision Machinery Engineering, School of Engineering, The University of Tokyo, 7–3–1, Hongo Bunkyo, Tokyo 113, Japan
T. Ito
Affiliation:
Department of Precision Machinery Engineering, School of Engineering, The University of Tokyo, 7–3–1, Hongo Bunkyo, Tokyo 113, Japan
H. Ando
Affiliation:
Department of Precision Machinery Engineering, School of Engineering, The University of Tokyo, 7–3–1, Hongo Bunkyo, Tokyo 113, Japan
K. Kikkawa
Affiliation:
Department of Mechanical Engineering, Kyshu Institute of Technology, 1–1 Sensui-cho, Tobata, Kitakyushu 804, Japan
F. Kimura
Affiliation:
Department of Precision Machinery Engineering, School of Engineering, The University of Tokyo, 7–3–1, Hongo Bunkyo, Tokyo 113, Japan

Abstract

This paper proposes a new method for dealing with geometrical layout constraints. Geometrical layout constraints are classified into three classes of dimensional, regional, and interference constraints. Dimensional constraints are handled by using an existing methodology. A method is proposed to translate the other two classes of constraints into dimensional constraints. Thus, it is possible to uniformly deal with all of those geometrical layout constraints. The method is twofold. First, it converts regional, interference constraints into a set of simple inequalities. Then each inequality is solved by a geometric gadget, which is a structured set of dimensional constraints. A prototype system is developed and applied to some layout design examples.

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Articles
Copyright
Copyright © Cambridge University Press 1997

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