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卷积神经网络求解有限元单元刚度矩阵

Translated title of the contribution: Solving finite element stiffness matrix based on convolutional neural network
  • Guanghui Jia*
  • , Yunrui Yu
  • , Dan Wang
  • *Corresponding author for this work
  • Beihang University
  • China Aerospace Science and Technology Corporation

Research output: Contribution to journalArticlepeer-review

Abstract

With the successful application and rapid development of deep learning in many fields, the integration of deep learning with traditional structural analysis has become a new research direction. In terms of solving the finite element stiffness matrix problem, the application of convolutional neural network in structural analysis is studied. Taking the quadrilateral plane stress element as an example, based on the convolutional neural network, a neural network model for solving the finite element global stiffness matrix is proposed. Moreover, the relationship between the learning effect of the network and the number of network convolution kernels and the number of training samples is analyzed. The calculation example shows that, within a certain range, the learning ability of the network increases with the number of convolution kernels and the number of training samples. In practical applications, the corresponding convolutional neural network can be set according to specific accuracy requirements. After the convolutional network training is completed, the calculation of the element stiffness matrix is real-time, and the accuracy meets the engineering requirements.

Translated title of the contributionSolving finite element stiffness matrix based on convolutional neural network
Original languageChinese (Traditional)
Pages (from-to)481-487
Number of pages7
JournalBeijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
Volume46
Issue number3
DOIs
StatePublished - 1 Mar 2020

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