FBG-Based Deformation Reconstruction Method of Multipoint Elastic Support Thin Plate

For the multipoint elastic support thin plate deformation reconstruction problem, combined with the relationship between strain and deformation. A recursive numerical solution method of curvature incorporating displacement information is proposed. Estimation of boundary strains by elastic boundary conditions and interpolation algorithms. The detailed measurement principle of curvature and the curvature deformation mathematical model is derived and solved by the Runge–Kutta numerical solution method. The effect of cumulative errors can be greatly reduced. Finite element method (FEM)-based simulations for thin plate, the fiber Bragg grating (FBG) sensors placement strategy is determined, and have been conducted to preliminary validate the effectiveness of the proposed approach. To further verify the validity and repeatability of the proposed approach, the deflection obtained by the reconstruction algorithm and the actual deflection measured by laser displacement sensors were compared. Experimental results indicate that after the average strain coefficient correction strain, the proposed approach can accurately reconstruct the deformation of the thin plate, the average of relative error with a value of less than 9% under different loadings.