基于三维弹性力学基本方程 ,通过引入边界位移函数 ,建立了具有固支边的叠层开口柱壳在任意荷载作用下的状态方程 ,给出静力问题的解析解。此解满足所有边界条件和层间连续条件 ,适合任意厚跨比。由于采用多项式函数假设边界位移 ,本文具有收敛快、在边界附近应力连续等特点。 Based on the basic equations of three-dimensional elastic mechanics, by introducing the boundary displacement function, the state equation of laminated open cylindrical shell with clamped edges under arbitrary load is established, and an analytical solution of the static problem is given. This solution satisfies all boundary conditions and continuous conditions between layers, suitable for any thickness-to-span ratio. Due to the assumption of polynomial function boundary displacement, this paper has fast convergence, continuous stress in the vicinity of the boundary and so on.