Research on the non-singular shape sensing method based on multi-airfoil features

To solve the ill-conditioned and singular problems of complex airfoil structures in traditional deformation sensing methods, a non-singular deformation reconstruction model based on multiple airfoil features is proposed. Based on the Timoshenko beam deformation theory, the element displacement field is discretized by using the dependency interpolation technique. A least squares variational function of theoretical surface strain and measured strain is established. Then, the reconstruction model between element node deformation and measured strain is derived. The position independence of the reconstructed model effectively eliminates the singularity caused by improper selection of evaluation sections and enhances the applicability in complex structures. Meanwhile, an adaptive multi-objective particle swarm optimization model is formulated with reconstruction accuracy and robustness for overcoming environmental disturbances. Results show that the maximum absolute error is 0. 26 mm and the maximum relative root mean square error is 0. 42% when the deformation of the wing model is less than 20 mm. With the increase of deformation, the absolute error also increases. But, the relative root mean square error does not exceed 3. 5% . Therefore, the non-singular deformation reconstruction model based on multi-airfoil features can meet the requirements of real-time wing reconstruction and effectively extend the application value of deformation sensing method in complex structures. © 2023 Science Press. All rights reserved.