Optimization of Measurement Points for Deformation Field Reconstruction of Marine Stiffened Plates Based on iFEM-PSO

PENG Jiayi; WEI Pengyu; LIU Shuiqing; ZHANG Zhen; PAN Guangshan; ZHU Zhikui

doi:10.7643/issn.1672-9242.2026.10.004

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Equipment Environmental Engineering ›› 2026, Vol. 23 ›› Issue (10) : 37-45. DOI: 10.7643/issn.1672-9242.2026.10.004

Special Topic——Theoretical Analysis and Design Methods for Ships and Ocean Engineering Equipment

Optimization of Measurement Points for Deformation Field Reconstruction of Marine Stiffened Plates Based on iFEM-PSO

PENG Jiayi, WEI Pengyu, LIU Shuiqing, ZHANG Zhen, PAN Guangshan, ZHU Zhikui

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Abstract

The work aims to propose a measurement point optimization method named iFEM-PSO, which integrates the inverse Finite Element Method (iFEM) with Particle Swarm Optimization (PSO)toaddress the issues of excessive sensor placement and insufficient reconstruction accuracy and efficiency during plastic deformation stages in the deformation field reconstruction of shipborne stiffened plates. In this method, Tikhonov regularization and a dynamic local coordinate system updating strategy wereintroduced into the iFEM reconstruction framework to suppress the ill-conditioned equations caused by plastic deformation and to track geometric large deformations, thereby enhancing the stability of deformation field reconstruction. In the PSO-based strain sensor optimization, a particle initialization strategy based on strain energy amplitude and gradient was adopted to replace random initialization, so as to improve search efficiency. Through axial compression simulations on three types of stiffened plate structures, the results showed that the number of sensors was reduced to 20%-28% of the total number of elements, while the reconstruction errors were all controlled within 15%. The applicability of the iFEM-PSO method to different stiffening configurations and cutout designs is validated, providing a technical solution for acquiring deformation fields of ship structures with high accuracy and few sensors.

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inverse finite element method (iFEM) / particle swarm optimization (PSO) / stiffened plate / deformation field reconstruction / measurement point optimization / plastic deformation

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PENG Jiayi, WEI Pengyu, LIU Shuiqing, ZHANG Zhen, PAN Guangshan, ZHU Zhikui. Optimization of Measurement Points for Deformation Field Reconstruction of Marine Stiffened Plates Based on iFEM-PSO[J]. Equipment Environmental Engineering. 2026, 23(10): 37-45 https://doi.org/10.7643/issn.1672-9242.2026.10.004

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