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Radial Basis Function Neural Network Models for Peak Stress and Strain in Plain Concrete under Triaxial Stress

机译:三轴应力下普通混凝土峰值应力和应变的径向基函数神经网络模型

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摘要

In the analysis or design process of reinforced concrete structures, the peak stress and strain in plain concrete under triaxial stress are critical. However, the nonlinear behavior of concrete under triaxial stresses is very complicated; modeling its behavior is therefore a complicated task. In the present study, several radial basis function neural network (RBFN) models have been developed for predicting peak stress and strain in plain concrete under triaxial stress. For the purpose of constructing the RBFN models, 56 records including normal- and high-strength concretes under triaxial loads were retrieved from literature for analysis. The K-means clustering algorithm and the pseudoinverse technique were employed to train the network for extracting knowledge from training examples. Besides, the performance of the developed RBFN models was estimated by the method of three-way data splits and k-fold cross-validation. On the other hand, a comparative study between the RBFN models and existing regression models was made. The results demonstrate the versatility of RBFN in constructing relationships among multiple variables of nonlinear behavior of concrete under triaxial stresses. Moreover, the results also show that the RBFN models provided better accuracy than the existing parametric models, both in terms of root-mean-square error and correlation coefficient.
机译:在钢筋混凝土结构的分析或设计过程中,三轴应力下普通混凝土的峰值应力和应变至关重要。然而,混凝土在三轴应力下的非线性行为非常复杂。因此,对其行为进行建模是一项复杂的任务。在本研究中,已经开发了几种径向基函数神经网络(RBFN)模型来预测三轴应力下普通混凝土的峰值应力和应变。为了构建RBFN模型,从文献中检索了56条记录,包括三轴载荷下的中强度和高强度混凝土,以进行分析。采用K均值聚类算法和伪逆技术对网络进行训练,以从训练示例中提取知识。此外,通过三向数据分割和k-fold交叉验证的方法评估了开发的RBFN模型的性能。另一方面,对RBFN模型与现有回归模型进行了比较研究。结果证明了RBFN在构造三轴应力下混凝土非线性行为的多个变量之间的关系时的多功能性。此外,结果还表明,就均方根误差和相关系数而言,RBFN模型提供了比现有参数模型更好的准确性。

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