In order to solve the problem of the drop of the condenser efficiency caused by the non-uniform force of the flat panel solar concentrator, an assembly method using nine array lenses as the condenser module was proposed. The air gap between the condenser module array and the optical waveguide board was set to 2 mm. Linear static analysis and modal analysis of flat solar concentrators were performed using ANSYS software. The set wind speed was 18 m/s, which was higher than the index level of 14 m/s, and the modal analysis fundamental frequency of the concentrator was 0.038 s. It is not necessary to take into account the dynamic influence conditions for the structural rigidity. The displacement of the concentrator and the optical waveguide plate structure under the condition of extreme static wind load and the modal coefficients of the first six orders in the corresponding case were discussed. The results show that the maximum displacement of the air gap between the concentrator and the optical waveguide plate structure is 0.049 mm, meeting the accuracy requirement. In the five kinds of the angle condition, the difference between the front 6 modes modal shape prestressed and processing mode shape is within 1%, and the corresponding shape patterns are similar. It is proved that the wind load has no effect on the mode shape.