圆板大挠度的样条函数解法  

B-spline function method for round plate of large deflection

作　　者：张凌云[1] 侯朝胜[1] 

机构地区：[1]天津大学土木系,300072

出　　处：《福建建筑》2002年第3期25-26,共2页Fujian Architecture & Construction

摘　　要：本文以三次 B样条函数为试函数 ,用牛顿迭代法分析了圆板大挠度的非线性问题。文中考虑了固定夹紧、可移夹紧、铰支承及简单支承等四种边界条件 ,在计算例题中 ,荷载考虑了均布荷载和均布边弯矩荷载。计算结果表明 ,算法是有效的。With cubic B-spline function as the experimental function,the essay analyses the nonlinear problem of round large-deflection plate by the newton-iterative method.Four boundary conditions,such as fixed clamp,moving clamp,hinge support and simple support,are considered.The load of homogeneous distribution and the load of homogeneous loundary bending moment are considered in examples of calculation.Examples demonstrate the validity and effectiveness of the method.

关 键 词：样条函数 牛顿迭代法 非线法 荷载 均布荷载 

分 类 号：TU312.1[建筑科学—结构工程]