桁架极限强度回归的支持向量机比较研究

V. Truong, H. Pham
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引用次数: 6

摘要

。由于计算机科学的迅速发展,在结构设计中越来越多地使用直接分析来代替基于有效长度因子的基于构件的设计方法。在直接分析中,可以充分估计整个结构的极限强度,从而消除了对构件能力校核的需要。然而,在复杂的结构设计问题中,需要进行大量的结构分析,使用直接分析需要过高的计算成本。在这种情况下,机器学习(ML)算法用于构建元模型,该模型可以预测结构响应,而无需执行昂贵的结构分析。本文首次采用支持向量机(SVM)算法建立了直接分析预测桁架极限强度的元模型。考虑了支持向量机模型的几种核函数,包括线性核函数、s型核函数、多项式核函数和径向基函数。以平面39杆非线性非弹性钢桁架为研究对象,研究其核函数的性能。结果验证了基于支持向量机的桁架极限强度预测元模型的适用性。特别是,RBF似乎是其他内核中最好的。这项研究还提供了对参数对核函数效率的影响的更深入的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Support Vector Machine for Regression of Ultimate Strength of Trusses: A Comparative Study
. Thanks to the rapid development of computer science, direct analyses have been increasingly used in the design of structures in lieu of member-based design methods using the effective length factor. In a direct analysis, the ultimate strength of a whole structure can be sufficiently estimated, so that the need for member capacity checks is eliminated. However, in complicated structural design problems where many structural analyses are required, the use of direct analyses requires an excessive computation cost. In such cases, Machine Learning (ML) algorithms are used to build metamodels that can predict the structural responses without performing costly structural analysis. In this paper, the support vector machine (SVM) algorithm is employed for the first time to develop a metamodel for predicting the ultimate strength of trusses using direct analysis. Several kernel functions for the SVM model, including linear, sigmoid, polynomial, radial basis function (RBF), are considered. A planar 39-bar nonlinear inelastic steel truss is taken to study the performance of the kernel functions. The results confirm the applicability of the SVM-based metamodel for predicting the ultimate strength of trusses. In particular, the RBF appears to be the best kernel among others. This investigation also provides a deeper understanding of the effect of the parameters on the efficiency of the kernel functions.
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