Abstract: A recursive algorithm of curvature integral with error compensation is proposed to solve the problem of thin plate deformation reconstruction, which combines the relationship between strain and curvature, curve and curvature. According to the characteristics of accumulated error, the selection method of error compensation coefficient and the optimization principle of error compensation factor are given. By choosing appropriate compensation factor, a set of compensation coefficients corresponding to compensation factor are obtained. A 600 mm×200 mm×2.45 mm aluminum alloy sheet model was established. The distributed strain data and deformation data of a deformation curve on the sheet were extracted through simulation and experimental analysis. The experimental data were reconstructed by curvature integral recursion algorithm with error compensation. Root Mean Square Error (RMSE) is introduced to evaluate the reconstruction accuracy under different segments and loads. The results show that the proposed deformation reconstruction algorithm with error compensation can accurately reconstruct the deformation curve of thin plate, and the reconstruction error and relative error are relatively small. Under the same load, the more segments, the higher the reconstruction accuracy of the proposed curve reconstruction algorithm.

Key words: deformation of thin plate, curve reconstruction, curvature, error compensation, distributed strain