Journal of the Japan Society for Precision Engineering
Online ISSN : 1882-675X
Print ISSN : 0912-0289
ISSN-L : 0912-0289
A Methodology of Intelligent CAD using a Metric Space Concept (2nd Report)
A Mathematical Model of Conceptual Design Process and Convergence Policy
Toshiharu TAURAHiroyuki YOSHIKAWA
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1991 Volume 57 Issue 10 Pages 1768-1773

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Abstract
The purpose of this study is to observe an ideal design principle with the characteristics of generality, practicality and computability. In this study, the attention is paid to topology which has a metric space concept in itself and the design knowledge is organized in the metric space. In the previous paper, the mechanism of function operation is modeled mathematically. In this paper, a mathematical model of conceptual design process is deduced and convergence policy to generate the design solutions is discussed from the viewpoint of a metric in function space. And a methodology of generating the component structures which satisfy the required functions is deduced based on these mathematical models. This methodology is a kind of generate and test methods, but it is distinct by paying attention to the metrized function space in searching for the starting point and refining the hypothesis. This paper also describes a computer system developed and applied for mechanical field.
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