论文标题

时间连续节能神经网络用于结构动力学分析

Time-Continuous Energy-Conservation Neural Network for Structural Dynamics Analysis

论文作者

Feng, Yuan, Wang, Hexiang, Yang, Han, Wang, Fangbo

论文摘要

快速准确的结构动力学分析对于结构设计和损害评估很重要。近年来,利用机器学习技术的结构动力分析已成为流行的研究重点。尽管基本的神经网络为结构动力学分析提供了另一种方法,但神经网络内部缺乏物理定律限制了模型的准确性和忠诚度。在本文中,引入了能源保存神经网络的新家族,尊重物理定律。神经网络从基本的单度系统探索到复杂的多重自由度系统。还逐步将阻尼力和外部力量视为。为了改善算法的并行化,结构态的衍生物是用新型的能量传播神经网络参数化的,而不是指定结构状态的离散序列。提出的模型将系统能量用作神经网络的最后一层,并利用基础自动分化图自然结合了系统能量,这最终提高了地震影响下结构动力学响应计算的准确性和长期稳定性。讨论了计算精度和速度之间的权衡。作为一个案例研究,进行了三层楼高的地震模拟,并具有逼真的地震记录。

Fast and accurate structural dynamics analysis is important for structural design and damage assessment. Structural dynamics analysis leveraging machine learning techniques has become a popular research focus in recent years. Although the basic neural network provides an alternative approach for structural dynamics analysis, the lack of physics law inside the neural network limits the model accuracy and fidelity. In this paper, a new family of the energy-conservation neural network is introduced, which respects the physical laws. The neural network is explored from a fundamental single-degree-of-freedom system to a complicated multiple-degrees-of-freedom system. The damping force and external forces are also considered step by step. To improve the parallelization of the algorithm, the derivatives of the structural states are parameterized with the novel energy-conservation neural network instead of specifying the discrete sequence of structural states. The proposed model uses the system energy as the last layer of the neural network and leverages the underlying automatic differentiation graph to incorporate the system energy naturally, which ultimately improves the accuracy and long-term stability of structures dynamics response calculation under an earthquake impact. The trade-off between computation accuracy and speed is discussed. As a case study, a 3-story building earthquake simulation is conducted with realistic earthquake records.

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