导出了具有任意初始几何缺陷的壳体在曲线坐标中的小应变和大挠度情形下的基本方程,并给出了柱壳的控制方程。对该方程用加权残值法求解,采用最小二乘配点法解决了壳体的静力计算,计算中,对位移和应力函数沿子午向选取了5次B样条,环向选三角级数,以两者的组合函数作为试函数,其初始几何缺陷则根据给定的离散值进行拟合。文中给出了算例,计算结果与已有文献吻合较好。 The basic equations of the small strain and large deflection in the curvilinear coordinates of the shell with arbitrary initial geometrical defects are derived, and the control equations of the cylindrical shell are given. The equation is solved by the method of weighted residuals, and the least squares collocation method is used to solve the static calculation of the shell. In the calculation, five B-splines along the meridional direction of the displacement and stress functions are selected, and the trigonometric series is chosen in the direction of the ring. The combination function of the two is used as a trial function, and its initial geometrical defect is fitted according to a given discrete value. The examples are given in the paper. The calculated results are in good agreement with the existing literature.