三边固支一边自由矩形薄板挠度计算研究OA

In order to obtain the deflection function of the rectangular thin plate with three fixed sides and one free side under the uniformly distributed load,the mechanical model for the thin plate was established based on the theory of elasticity.By considering the boundary conditions of three fixed sides and one free side,and employing the Rayleigh-Ritz method,the unknown coefficient k in the deflection function was calculated,thus deriving the deflection function.Finally,two cases were simulated using ANSYS to obtain the deformation contour plot of the rectangular thin plate in the z-axis direction,and the comparison was made between the theoretical calculations and the simulation results.The consistency of the results provides a scientific basis for calculating the deflection of the rectangular thin plate under complex boundary conditions,such as three fixed sides and one free side.