任意变厚度开顶旋转扁薄壳的非线性稳定

变厚度开顶旋转扁薄壳的大挠度计算因为复杂，仅见一种特殊情形的数值解答．在16种边界条件下，以三次B样条函数为试函数，用配点法计算变厚度开顶圆锥壳和球壳的非线性稳定．给出了在均布荷载、内边缘均布线荷载或外边缘均布力矩作用下，线性变厚度开顶圆锥壳、球壳的上、下临界荷载．在均布荷载或内边缘均布线荷载作用下，指数型变厚度固定夹紧开顶球壳的上、下临界荷载得到了同其他方法一致的结果．研究表明，样条配点法具有输入数据少、计算简便、精度高和计算程序通用的优点。

Nonlinear Stability of Truncated Shallow Revolutionary Shells with Arbitrarily Variable Thickness

Only a special kind of the large deflection of truncated shallow revolutionary shells with variable thickness had numerical solution because of intricacy. In the case of 16 boundaries, cubic B-spline function taken as trial function, the solutions to nonlinear stability of truncated conical shells and spherical shells with variable thickness were obtained by the method of point collocation. Under action of uniformly distributed load, line load along inside edge or uniform moments along outside edge, upper and lower critical loads of truncated conical shells and spherical shells with linearly variable thickness were computed. Under action of uniformly distributed load or line load along inside edge, the upper and lower critical loads of truncated spherical shells with exponentially variable thickness and rigidly clamped edge were consistent with those obtained by other methods. The advantages of the spline collocation method are less input data, simpler calculation, higher precision and more universal application.