建立了充满稳定状态下密实织物伞形状和应力计算的理论模型。将充满的伞看成柔软的壳体，用力学原理建立伞绳（伞衣上径向加强带）和伞衣幅中线的力平衡方程。伞绳和伞衣处理成非线性弹性构件。考虑伞衣中线上的子午向应力，得到了一个双轴应力模型。结合伞充满状态下几何大变形的几何关系式，得到一组含６个微分方程的非线性微分方程组。从伞顶孔开始，利用伞顶处的边界条件，离散积分至伞底，校对伞底处的另一边界条件，如不满足再从伞顶开始进行迭代，直至满足伞底边处的边界条件。由此编成进行非线性迭代数值求解程序ＣＳＬＡＰ。选用一具典型的平面圆形伞进行了验证，结果很好 A theoretical model of calculating the shape and stress of dense fabric under steady state was established. The full umbrella is regarded as a soft shell, and the force balance equation of the midline of the umbrella line (the radial reinforcement zone on the umbrella clothing) and the midline of the umbrella clothing line is established by the principle of mechanics. Umbrella ropes and umbrellas are treated as non-linear elastic members. Considering the radial meridional stress in the parachute line, a biaxial stress model is obtained. Combined with the geometrical relation of large deformation under umbrella full state, a set of nonlinear differential equations with six differential equations are obtained. From the top of the umbrella hole, use the boundary conditions at the top of the umbrella to discretize the umbrella bottom and check the other boundary conditions at the bottom of the umbrella. If it is not satisfied, iterate from the umbrella top until the boundary conditions at the bottom of umbrella are satisfied . Thus compiled into a non-linear iterative numerical solution program CSLAP. Use a typical plane circular umbrella was verified, the result is good