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Abstract:
Aiming at addressing the dynamic response problem of spatiotemporal multiscale pipeline vibration with high- and low-frequency superposition, a Fourier Feature Physics-Informed Neural Network (FF-PINN) is proposed. To achieve this, the Fourier feature mapping is introduced to facilitate the decomposition of temporal- and spatial-scaled information. By employing the hyperparameter σ to regulate the neural network' s learning frequency range, the comparatively low-frequencies at the macroscopic time scales and the comparatively high-frequencies at the microscopic scales of the vibration response of the pipeline can be effectively captured, so the spectral bias of PINN in learning high-frequency information may be obviated. By applying FF-PINN to simulating the vibration characteristics of the pipeline conveying fluid simply supported at both ends, the relative L2 error between the simulation result and the reference solution derived from the Generalized Finite Difference Method (GFDM) is 1. 15×10-2. Furthermore, an in-depth analysis on the influence of the hyperparameter σ is carried out, so the relationship between σ and the frequency of the eigenvector can be achieved. The analysis results disclose that through the selection of the proper hyperparameter, FF-PINN can better learn vibrations with specific frequencies, so the dynamic response of pipeline conveying fluid during vibration can be effectively captured. This proposed approach offers an efficient solution to simulating spatiotemporal multiscale structural vibrations with high- and low-frequency superposition. © 2025 Chinese Society of Civil Engineering. All rights reserved.
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China Civil Engineering Journal
ISSN: 1000-131X
Year: 2025
Issue: 9
Volume: 58
Page: 86-95
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ESI Highly Cited Papers on the List: 0 Unfold All
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