加肋对称层合板线性弯曲分析的移动最小二乘无网格法

Based on the first-order shear deformation theory (FSDT), a moving least squares (MLS) meshless method is proposed to solve the linear bending problem of symmetrically laminated plate with ribbed. The stiffened symmetrical laminated plate can be regarded as a composite structure composed of plate and rib. The displacement fields of the laminated plates and ribs are established by the MLS approximation, respectively. Then the stiffness of the laminated plates and ribs are deduced. Lastly, the stiffness matrix of the whole composite structure is obtained by adding the stiffness matrix of the rib to the stiffness matrix of the laminated plates by using the displacement compatibility condition. Since the moving least squares (MLS) meshless method does not satisfy the Kronecker condition, the full transformation method is used to deal with the essential boundary conditions. At the end of this paper, a series of numerical examples are given to analyze the flexural performance of stiffened symmetrical laminated plate with different number of ribs, lamination schemes elastic modulus ratio and width-thickness ratio. The proposed solutions are compared with the ABAQUS solution to verify the effectiveness and accuracy of the proposed method.