Deformation Reconstruction And Sensor Layout Optimization Of Wing Integrated Antenna

The use of wing integrated conformal antenna can increase aircraft radar aperture and enhance radar power.However,under the influence of aerodynamic load,the wing of an aircraft will have a large elastic deformation,which will lead to the change of the position of the wing integrated conformal antenna element,and the deformation will deteriorate the electrical performance of the wing integrated conformal antenna(gain reduction,sidelobe rise,and directional variation).In order to reduce the influence of structural deformation on the electrical performance of radar,phase shifter phase compensation can be used,but this method needs to obtain the antenna simplex variable first.So it is necessary to reconstruct the structure in real time.Based on the theory of pseudo finite element reconstruction based on strain measurement,the deformation reconstruction of variable section wing is studied in this paper.The sensor layout is optimized to improve the accuracy of deformation reconstruction.At last,the accuracy of this method is verified by machining wing experiment.The main contents of this paper are as follows.In the first part of this paper,according to the structural characteristics of the wing,the wing integrated conformal antenna and the finite element model of the wing are constructed,and the finite element analysis is carried out to obtain the static and modal characteristics of the wing,and the beam element structure is determined as the equivalent model of the wing for research.In the second part,based on the Timoshenko beam model theory,we can build the displacement function and the actual section strain solution method suitable for the reconstruction of the variable section beam with the help of the variable section beam constitutive relation and the size change function and least square function of the actual section strain and the section strain obtained from the theoretical calculation.At the same time,based on the NURBS curve and surface model expression,the basic function is taken as the shape function The whole displacement is reconstructed by calculating the displacement of the control point instead of the node displacement.The applicability of the method to the deformation reconstruction of the variable section beam element is verified by the simulation of the variable section circular beam.Finally,the optimization of sensor placement and robustness is studied.Through the analysis of the causes of the errors in the deformation reconstruction of beam elements,the optimization is carried out.Firstly,particle swarm optimization(PSO)is used to optimize the position of variable points.Then,based on the situation that the paste error of sensor is inevitable in the process of practice,double objective optimization is carried out for the tolerance of paste error and reconstruction accuracy of sensor paste position,and the effect of this method on improving reconstruction accuracy is verified by adding disturbance to the calculation data after simulation.The method proposed in this paper has the advantages of the inverse finite element method,which can reconstruct the deformation of the structure under the condition of unknown load,and does not need the material properties of the structure.It is an important means and method in the future structural deformation measurement technology.It can not only play a positive role in the field of wing deformation reconstruction,but also play a reference role in structural deformation monitoring,deformation recovery and deformation control.