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在Kolmogorov多层神经网络映射存在定理基础上,从理论上证明了一个三层神经网络可用来描述任一弹性结构的应力、位移等量和结构设计变量之间的映射关系,并率先提出一种基于人工神经网络技术的、具有全局性的结构近似分析方法,所进行的计算机数值实验结果初步证实了该方法的有效性。
Based on the Kolmogorov multi-layer neural network mapping theorem, it is theoretically proved that a three-layer neural network can be used to describe the mapping relationship between the structural stress and displacement of any elastic structure and structural design variables. Based on the artificial neural network technology, a global approximate structure analysis method is presented, and the numerical experiments of the computer are carried out to confirm the validity of the method.