夹层环形板轴对称非线性弯曲和屈曲

由于等厚度夹层环形板大挠度计算边界条件复杂，迄今仅有一种特殊情形的数值解答．本文以三次B样条函数为试函数，用配点法计算夹层环形板的非线性弯曲和屈曲．夹层板采用Reissner模型．讨论了16种边界条件，荷载可为多项式型的分布荷载、内缘均布线荷载、均布边缘力矩或均布径向压力及它们的组合．用非线性理论计算了夹层环形板的压曲临界荷载．样条配点法具有精度高、编写程序通用、输入的数据量少以及节省计算时间的优点．

Axisymmetrical Nonlinear Bending and Buckling of Annular Sandwich Plates

So far there is only one special numerical solution to the problem of the large deflection of the annular sandwich plate with uniform thickness because of the complication of the boundary conditions. Using the cubic B-spline function as the trial function, the nonlinear bending and buckling of the annular sandwich plate were calculated by the method of point collocation. The sandwich plate was assumed to be the Reissner model. Under 16 boundary conditions, the formulae were developed for the calculation of the annular sandwich plate subjected to polynomial distributed loads, uniform moments, uniform radial pressure along the edges, uniform line load along an inner edge or their combination. It is the first time that buckling critical load of annular sandwich plate is calculated by nonlinear theory. Advantages of the program written by the spline collocation method are high accuracy, universality and little amount of input data and computing time.