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本文讨论圆底扁球壳题的初参数解法。对于内力和位移沿环向按cosnθ(sinθ)分布的情形(n=0,1,2,……),推导了初参数法的系数矩阵。计算环形壳时(包括各种环形荷载和带环向肋的情况)只需解四元联立方程(轴对称问题只需解三元或二元联立方程)。对于无限壳承受各种环形荷载(包括按cosnθ规律分布于环形面和线上的法向力、水平径向力、环向力和力矩)和集中荷载(包括作用于壳顶的集中法向力、切向力、弯矩和扭矩)的情形,直接给出了解答。
This article discusses the initial parametric solution to the round bottom flat spherical shell problem. For the case of the distribution of internal forces and displacements in the circumferential direction by cosnθ(sinθ) (n=0, 1, 2,... ), the coefficient matrix of the initial parameter method is derived. When calculating the annular shell (including the case of various annular loads and circumferential ribs), it is only necessary to solve the quaternary simultaneous equation (the axisymmetric problem only needs to solve the ternary or binary simultaneous equations). For infinite shells subjected to various ring loads (including normal forces, horizontal radial forces, hoop forces, and moments distributed in a circular plane and line by cosnθ law) and concentrated loads (including concentrated normal forces acting on shell tops) Tangential forces, bending moments, and torques give answers directly.