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通过物理信息的神经网络对动态系统的响应估计和系统识别
Marcus Haywood-Alexander1, Giacomo Arcieri1, Antonios Kamariotis1
1Department of Civil, Environmental and Geomatic Engineering, ETH Zürich, Wolfgang-Pauli Strasse, 8049 Zürich, Switzerland.
基于物理学的神经网络 (PINNs) 能够有效地识别动态系统,即使存在建模错误. PINNs为结构动态中的状态和参数估计提供了强大的方法,增强了结构健康监测和设计.
科学领域:
- 工程 工程师 工程师 工程师
- 计算科学 计算科学
- 机器学习 机器学习
背景情况:
- 对结构动态的准确建模对于工程应用,如结构健康监测 (SHM),至关重要.
- 基于物理学的模型经常与非线性和不确定性作斗争,尤其是稀疏的传感器数据.
- 现有的方法在精确的系统识别和参数估计方面面临挑战.
研究的目的:
- 探索物理信息神经网络 (PINNs) 的应用,以识别和估计动态系统.
- 调查PINNs以稀疏感应和联合状态参数估计进行状态估计.
- 在贝叶斯框架内,从全场数据中评估PINNs进行参数估计.
主要方法:
- 使用物理信息神经网络 (PINNs),一种物理增强机器学习 (PEML) 技术.
- 将物理定律直接嵌入到神经网络的损失函数中.
- 将PINN应用于状态估计,联合状态参数估计和参数估计与不确定性量化.
主要成果:
- 在所有调查任务中,PINNs都表现出了效率,包括具有建模错误的系统.
- PINNs有效地处理动态系统建模中的复杂现象和不确定性.
- 与状态估计相比,参数估计对建模错误更为敏感.
结论:
- PINNs为动态系统建模和识别提供了一个有希望和强大的工具.
- 物理定律的整合增强了机器学习模型处理现实世界的工程挑战的能力.
- PINNs为提高结构动态应用的准确性和可靠性提供了一种有价值的方法.
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