Mechanical Engineering Design Complexity Metrics: Size, Coupling, and Solvability

Mechanical Engineering Design Complexity Metrics: Size, Coupling, and Solvability
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机械工程设计复杂性指标:尺寸、耦合和可解性

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发表时间:
2010
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通讯作者:
J. Shah
J. Shah
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文献类型:
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作者:
J. Summers;J. Shah

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发展客观的措施来评估和测量设计的复杂性将有利于(1)需要使用等效但不同的设计问题的经验研究,(2)设计手册的开发,以及(3)计算机辅助设计自动化工具的比较。本文调查和评估不同的方法来定义复杂性的设计问题,过程和产品的设计。确定了复杂性的三个基本方面,即规模、耦合和可解决性,并扩展了设计、问题、过程和产品三个要素。测量这些设计特征的替代方法是基于计算、信息和传统的复杂性设计观点。提出了一种测量尺寸的方法,因为它涉及到复杂性的设计信息含量的测量。第二种方法提出了用于分解基于图的设计表示,提供了一个衡量的互连性,因为它涉及到复杂性。最后,提出了两种方法来确定设计的可解性复杂度的基础上所涉及的努力和设计的自由度。这些措施是专门针对在实施例设计中发现的参数和几何问题而开发的,但是这些原理可以应用于此之外。
Developing objective measures for evaluating and measuring the complexity of design would facilitate (1) empirical studies that require the use of equivalent but different design problems, (2) the development of design curriculums, and (3) the comparison of computer aided design automation tools. This paper surveys and evaluates different approaches to defining complexity in design for the design problem, process, and product. Three fundamental aspects to complexity are identified, size, coupling, and solvability, and expanded with respect to the three elements of design, problem, process, and product. Alternative methods for measuring these characteristics of the design are based on computational, information, and traditional design views of complexity. A method of measuring size as it relates to complexity is proposed for measuring the information content of design. A second method is proposed for decomposing a graph-based representation of design that provides a measure of the interconnectedness as it relates to complexity. Finally, two methods are proposed for determining the solvability complexity of design based on the effort involved and the degree of freedom of design. These measures are developed specifically for parametric and geometric problems as found in the embodiment design, but these principles may be applied beyond this.