有中心集中荷载作用的任意变厚度的旋转扁薄壳的非线性弯曲  

Nonlinear Bending of Revolving Shallow Shells with Arbitrarily Variable Thickness Under Central Loading

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3期210-214,共5页Journal of Tianjin University(Science and Technology)

摘　　要：中心集中荷载作用的变厚度圆板或旋转扁壳的轴对称非线性弯曲,迄今鲜见研究成果.取三次B样条函数和对数函数为试函数,用配点法计算任意变厚度圆板的大挠度和旋转扁壳的非线性稳定.计算了中心集中荷载作用的圆板及它和反向均布荷载同时作用圆板且其中心挠度为零的特殊情形.给出了中心集中荷载作用下,线性或多项式型变厚度的圆锥壳、球壳或四次多项式型旋转壳的上、下临界荷载.等厚度圆板和球壳的计算结果同其他方法的结果做了比较.结果表明样条配点法有更高的精度和更大的荷载收敛范围.Heretofore few research on the axisymmetrical nonlinear bending of a circular plate or a revolving shallow shell with variable thickness under a central loading has been published.With cubic B-spline and logarithmic functions taken as trial functions,for the large deflection of a circular plate and nonlinear stability of a revolving shallow shell with arbitrarily variable thickness the solutions were computed by the method of point collocation.A circular plate was studied when subjected to action of a central loading or the compound load of it and reverse uniformly distributed loads,in which the central deflection of the circular plate was zero.Under a central loading,upper and lower critical loads of shells were calculated including conical shells,spherical shells and quartic polynomial shells with linearly or polynomial variable thickness.The results of the circular plate and spherical shell of an identical thickness were com-pared with those obtained by other methods.Results show higher precision and wider range of convergent loads can be reached by using the spline collocation method.

关 键 词：旋转扁壳 任意变厚度 非线性稳定 中心集中荷载 复合荷载 样条配点法 

分 类 号：TU33[建筑科学—结构工程]