夹层旋转扁壳轴对称非线性稳定的样条函数解法  

Cubic Spline Solutions to Axisymmetrical Nonlinear Stability of a Revolving Shallow Sandwich Shell

作　　者：侯朝胜[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《天津大学学报》2011年第8期732-736,共5页Journal of Tianjin University(Science and Technology)

摘　　要：以三次B样条函数为试函数,用配点法计算夹层旋转扁壳非线性稳定.荷载为多项式型的分布荷载或均布边缘力矩.夹层壳采用Reissner模型.得到了夹层圆锥壳、球壳、余弦壳收敛的上、下临界荷载.与其他方法的结果作了比较.结果表明样条配点法具有计算精度高、荷载收敛范围大、编写程序通用的优点.Cubic B-spline function taken as trial function, nonlinear stability of a revolving, shallow, sandwich shell was solved by the method of point collocation. A shell can be subjected to polynomial distributed load or uniform edge moments. The sandwich shell is assumed to be Reissner Model. Convergent upper and lower critical loads were computed in all the examples including conical shells, spherical shells and cosine shells. The results are compared with those obtained by other methods. Results show that the program written by the spline collocation method has the advantage of high precision, wide range of convergent loads and universal application.

关 键 词：夹层壳 旋转扁壳 非线性稳定 样条配点法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]