夹层圆板轴对称非线性弯曲和屈曲的样条函数解法  

Cublic Spline Solutions of Axisymmetrical Nonlinear Bending and Buckling of Circular Sandwich Plates

作　　者：侯朝胜[1] 张守恺[1] 林锋[1] 

机构地区：[1]天津大学土木系,天津300072

出　　处：《应用数学和力学》2005年第1期120-126,共7页Applied Mathematics and Mechanics

摘　　要：　以三次B样条函数为试函数,用配点法计算夹层圆板的非线性弯曲·　支座可以是弹性的·　夹层板采用Reissner模型·　荷载可为多项式型的分布荷载、均布边缘力矩、均布径向压力或均布径向预应力及它们的组合·　首次用非线性理论计算了夹层圆板的压曲临界荷载·　在均布荷载作用下的结果同幂级数解的结果作了比较,说明样条配点法具有收敛范围大、精度高。Cubic B-spline taken as trial function, the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation. The support could be elastic. A sandwich plate was assumed to be Reissner Model. The formulae were developed for the calculation of a circular sandwich plate subjected to polynomial distributed loads, uniformly distributed moments, radial pressure or radial prestress along the edge and their combination. Buckling load was calculated for the first time by nonlinear theory. Under action of uniformly distributed loads, results were compared with that obtained by the power series method. Excellences of the program written by the spline collocation method are wide convergent range, high precision and universal.

关 键 词：夹层圆板 大挠度 屈曲 样条配点法 

分 类 号：TU33[建筑科学—结构工程]