Abstract

This paper presents a CAD system that has a new function for automatically generating the optimal developments of sheet metal products such as ventilation pipes. Dynamic Programming was adopted to solve the problem efficiently. The fitness function is made up of two objective functions ; the first one describes the total length of bending lines each of which links two sample points ; one on the entrance and the other on the exit respectively, and the second one describes how smooth the changing rate in directions of the generated side surface is. This method makes it possible to get much better solutions than those obtained with existing other CAD system. It has been confirmed through several numerical experiments that the method proposed here is sufficiently applicable to the generation of a wide variety of development-patterns required by the industry.

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