Operational modal analysis based on neural network with singular value decomposition

Min Qin, Huai-hai Chen
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Abstract

Neural network can mine data features, and has strong anti-noise ability and applicability. The operational modal analysis (OMA) method based on back propagation neural network (BPNN) is proposed in this paper. Firstly, the dataset is preprocessed based on the input and output functions, which increases the anti-noise ability of the proposed method and simplifies the training by reducing the model parameters. Secondly, a three-layer BP neural network is established to identify parameters as accurately as possible with minimal network complexity and training data. In addition, an improved resilient back propagation (RPROP) algorithm is a fast and accurate batch learning methods for neural networks, which is used in the BPNN. Finally, simulation and experimental results show that the superior learning capabilities of BPNN even with few neurons and hidden layers. The proposed method has the advantages of high accuracy, strong generalization ability and fast convergence speed.
基于奇异值分解的神经网络操作模态分析
神经网络可以挖掘数据特征,具有很强的抗噪声能力和适用性。提出了基于反向传播神经网络(BPNN)的运行模态分析(OMA)方法。首先,根据输入输出函数对数据集进行预处理,提高了方法的抗噪能力,并通过减少模型参数简化了训练。其次,建立三层BP神经网络,在最小的网络复杂度和训练数据下,尽可能准确地识别参数;此外,一种改进的弹性反向传播(RPROP)算法是一种快速、准确的神经网络批处理学习方法,并应用于bp神经网络。最后,仿真和实验结果表明,即使在较少的神经元和隐藏层的情况下,bp神经网络也具有优越的学习能力。该方法具有精度高、泛化能力强、收敛速度快等优点。
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