基于BP神经网络的桁架结构频率预测与优化

Zeliang Yu
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引用次数: 0

摘要

桁架结构是一种非常经典的结构形式,应用非常广泛。频率特性是桁架结构最重要的特性之一。一般有限元法能较好地预测桁架结构的模态信息,计算量少,建模方便。然而,考虑到优化问题,几个参数可以产生数百万甚至数十亿的组合。单独使用有限元法将花费难以承受的时间。因此,本文引入BP神经网络进行更快的频率预测和优化。首先,建立了一个四节点四杆桁架结构,并将其特征表征为五个参数的组合。其次,采用有限元法计算了不同参数组合下3125桁架结构的频率特性。再次,训练BP神经网络,得到桁架结构参数组合与频率特性之间的对应关系;最后,利用训练好的BP神经网络对桁架参数进行优化。该方法可以在有限条件下获得频率最高的参数组合,是一种有效的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Frequency Prediction and Optimization of Truss Structure Based on BP Neural Network
Truss structure is a very classic structure form and is widely used. Frequency characteristic is one of the most important characteristics of truss structure. Generally, the finite element method can well predict the modal information of truss structure, which has little calculation and convenient modeling. However, considering the optimization problem, a few parameters can produce millions or even billions of combinations. It will take unbearable time to use the finite element method alone. Therefore, this paper introduces BP neural network for faster frequency prediction and optimization. Firstly, a four node 4-bars truss structure is established, and its characteristics are characterized as the combinations of five parameters. Secondly, the frequency characteristics of 3125 truss structures with different parameter combinations are calculated by finite element method. Thirdly, BP neural network is trained to obtain the corresponding relationship between the parameter combination and frequency characteristics of truss structure. Finally, the trained BP neural network is used to optimize the truss parameters. This method can obtain the parameter combination with the highest frequency under limited conditions, which indicates that it is an effective method.
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