1993TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series COpen access

Constraint Satisfaction Method for Networks of Design Variables and Constraints in Mechanical CAD.

Joo-Heon Cha, Masaaki Yokoyama, Itaru Okabe

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Abstract

We describe a design process by using constraint networks which consist of constraint nodes and attribute nodes. The constraint nodes contain design formulae, and the attribute nodes represent design variables. The constraint representation allows the system to describe an object declaratively. However, as the constraint programming doesn't give a structural description of the design process, it is difficult to apply the constraint programming to a bigger system. In order to improve this difficulty, we present a new method that divides a complex constraint network into several constraint modules in which every module is composed of a simpler and smaller constraint network. Moreover, we present a new method to solve the constraint network problems with closed loops. The usefulness of these methods is illustrated by application to the design of a gear system.

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We describe a design process by using constraint networks which consist of constraint nodes and attribute nodes. The constraint nodes contain design formulae, and the attribute nodes represent design variables. The constraint representation allows the system to describe an object declaratively. However, as the constraint programming doesn't give a structural description of the design process, it is difficult to apply the constraint programming to a bigger system. In order to improve this difficulty, we present a new method that divides a complex constraint network into several constraint modules in which every module is composed of a simpler and smaller constraint network. Moreover, we present a new method to solve the constraint network problems with closed loops. The usefulness of these methods is illustrated by application to the design of a gear system.

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Available abstract

We describe a design process by using constraint networks which consist of constraint nodes and attribute nodes. The constraint nodes contain design formulae, and the attribute nodes represent design variables. The constraint representation allows the system to describe an object declaratively. However, as the constraint programming doesn't give a structural description of the design process, it is difficult to apply the constraint programming to a bigger system. In order to improve this difficulty, we present a new method that divides a complex constraint network into several constraint modules in which every module is composed of a simpler and smaller constraint network. Moreover, we present a new method to solve the constraint network problems with closed loops. The usefulness of these methods is illustrated by application to the design of a gear system.

Key concepts: Constraint logic programming, Constraint (computer-aided design), Constraint satisfaction, Constraint programming, Binary constraint, Constraint graph, Local consistency, Constraint satisfaction dual problem

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