Shouyan Jiang , Wangtao Deng , Peng Zhang , Guofu Hu , Chengbin Du
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引用次数: 0
Abstract
This study proposes an innovative data-driven algorithm that combines the scaled boundary finite element method with an autoencoder and a causal dilated convolutional neural network for defect identification in large-scale structures. The scaled boundary finite element method simulates the propagation of waves in large-scale structures containing various types of defects. Conveniently, the scaled boundary finite element method can simulate different types of defects within structures and, by discretizing only the boundaries of structures, efficiently generate sufficient training data. To simulate wave propagation in large-scale structures, an absorbing boundary model based on Rayleigh damping is established, avoiding computations across the entire structural domain. The affinity propagation clustering algorithm is employed to optimize the number and layout of sensors, and the optimized multi-sensor data serve as the original training samples for autoencoder feature extraction. Autoencoder exhibits strong nonlinear feature extraction capabilities, mapping the high-dimensional original input feature vector space to a low-dimensional latent feature vector space to obtain low-dimensional latent features for network model training. This effectively improves the learning efficiency of the network model. The constructed causal dilated convolutional neural network model ensures orderliness of temporal data and achieves a larger receptive field without increasing neural network complexity, thereby capturing more historical information. Numerical examples demonstrate that the proposed model can accurately identify the quantified information of defects in large-scale structures. Compared with the previous model, the proposed model exhibits improved robustness.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.