Towards a Conceptual Design Explorer Using Metamodeling Approaches and Constraint Programming
Towards a Conceptual Design Explorer Using Metamodeling Approaches and Constraint Programming
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使用元建模方法和约束编程的概念设计探索者
DOI：
10.1115/detc2003/dac-48766
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发表时间：
2003
影响因子：
0.8
通讯作者：
R. Barton
中科院分区：
文献类型：
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作者：
B. Yannou;T. Simpson;R. Barton
约束程序设计（CP）是一种很有前途的技术，用于管理概念设计中的不确定性。它提供了有效的算法，以减少，尽可能快，域的设计和性能变量，同时遵守工程和性能约束连接它们。此外，CP技术适合于以图形方式表示完整设计空间的3D投影。这是一个有用的能力，更好地理解产品概念的自由度和一个有价值的替代优化的基础上构建一个任意的偏好聚合函数。不幸的是，在实际感兴趣的工业问题上使用约束编程的主要障碍之一是，约束必须由分析方程表示，这不是硬机械性能的情况下，如网格划分和有限元计算，通常是经过漫长的模拟。我们建议使用元建模技术（MM）来生成这些分析的近似数学模型，这些分析可以直接在CP环境中使用，将CP的范围扩展到以前由于分析方程的不可用而无法通过CP解决的应用程序。我们发现，元模型的保真度和由此产生的CP约束易处理性之间有一个权衡。提出了一种找到这种妥协的策略。燃烧室设计的案例研究表明，令人惊讶的是，妥协是有利于最简单和粗糙的一阶响应面模型。
Constraint Programming (CP) is a promising technique for managing uncertainty in conceptual design. It provides efficient algorithms for reducing, as quickly as possible, the domains of the design and performance variables while complying to the engineering and performance constraints linking them. In addition, CP techniques are suitable to graphically represent 3D projections of the complete design space. This is a useful capability for a better understanding of the product concept’s degrees of freedom and a valuable alternative to optimization based upon the construction of an arbitrary preference aggregation function. Unfortunately, one of the main impediments for using Constraint Programming on industrial problems of practical interest is that constraints must be represented by analytical equations, which is not the case of hard mechanical performances such as meshing and finite element computations that are usually obtained after lengthy simulations. We propose to use metamodeling techniques (MM) to generate approximated mathematical models of these analyses which can be employed directly within a CP environment, expanding the scope of CP to applications that previously could not be solved by CP due to the unavailability of analytical equations. We show that there is a tradeoff between the metamodel fidelity and the resulting CP constraint tractability. A strategy to find this compromise is presented. The case study of a combustion chamber design shows amazingly that the compromise is to favor the simplest and the coarsest first-order response surface model.
DOI：
--
发表时间：
1997
期刊：
--
影响因子：
--
作者：
W. Finch;A. Ward
通讯作者：
W. Finch;A. Ward