分布荷载作用下圆板大挠度的样条函数解法  

Cubic spine solution of large deflection of circular plate subjected to axisymmetrical distributed load

作　　者：孙凡[1] 侯朝胜[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《河北建筑科技学院学报》2003年第3期50-53,共4页Journal of Hebei Institute of Architectural Science & Technology

摘　　要：本文以三次B样条函数为试函数用配点法计算任意轴对称分布荷载作用下圆板的大挠度。分布荷载为多项式型,支座可为弹性支座,在所有的算例中均取得了收敛的数值结果。均布荷载或均布边缘力矩作用下的计算结果同摄动法的计算结果作了比较,结果表明本文的方法具有大得多的收敛范围。Taking cubic B-spine as trial function, the large deflection of a circular plate subjected to axisymmetrical distributed load is calculated by point collection. Distributed load is the type of polynomial. The support may be elastic. In all examples convergent results are obtained. Under action of uniformly distributed load or uniformly distributed moment along edge, results are compared with that obtained by perturbation method, and it shows that the method used in this paper has much bigger convergent region.

关 键 词：圆板 大挠度 样条函数 配点法 

分 类 号：TU312[建筑科学—结构工程]