周期弹性加强的柱形薄壳轴对称静载问题的解析解

将严格的数学方法－Ｕ变换法用于求解周期弹性加强（或简支）柱形薄壳的轴对称静载问题。得到了载荷作用处的最大挠度值，由于数学方法的严密，使得解答为解析结果，不象以往的方法是将周期弹性加强平均化为全壳弹性地基，其结果具有有一定的近似法。将所得结果与上述近似解答进行了比较，可看出随周期加强的测度增大，两种解答的相对误差显著增大。该方法还可用于求解动力问题及其它圆柱壳结构。

Analytic Solutions about Cylindrical Shells on Axisymmetric Static Loads by Periodical Elastic Supports

U-transformation, an analytical method, was applied to solve the problem of the axisymmetric cylinderical thin shell with periodical reinforcement. Maxinum deflexion at loading positions was obtained. Unlike previous approximate methods of averaging the periodical supports to elastic ground, the present results are strict analytic and more accurete. The results obtioned in this work were compared with those obtained with traditional methods. At last. it was suggested that the analytic method can be used in solving dynamic problem and other problems with cylindercal structures.