Fiber Bragg grating plate structure shape reconstruction algorithm based on orthogonal curve net

Abstract

A space curved surface shape reconstruction algorithm is proposed for shape perception and reconstruction of flexible plate structure. First, biorthogonal strain data measured by optimal distributed Fiber Bragg grating sensor network are converted to discrete curvature data. Second, interpolation is done to achieve curvature continuity for structural deformation. Third, moving coordinate systems are established in two orthogonal directions of the orthogonal curved network on the plate surface. Then, all nodal coordinates are computed using the given boundary conditions and nodal curvature. Coordinate transformation is done for two orthogonal coordinates according to the coupling relationship. Finally, a square flexible smart Fiber Bragg grating plate is constructed by implanting fiber grating sensor network, and a visualization experimental platform is constructed. Experimental analysis and verification were done. The experimental results show that the proposed shape reconstruction algorithm has good reconstruction performance for pure bending deformation, torsional deformation, and low-frequency dynamic vibration shape.