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样条函数康托诺维奇法在复合材料板和圆柱曲板弯曲中的应用
引用本文:徐后华,陈广南.样条函数康托诺维奇法在复合材料板和圆柱曲板弯曲中的应用[J].宇航学报,1989,11(2):61-69.
作者姓名:徐后华  陈广南
作者单位:国防科技大学 (徐后华),国防科技大学(陈广南)
摘    要:样条函数康托诺维奇法是最新提出的一种数值型(或离散型)的康托诺维奇法。它既能化二维问题为一维问题,同时又具有样条函数法收敛快精度高,处理边界条件方便及平板曲板问题通用等优点。本文在板、壳勒夫——柯希霍夫假设的基础上,推导出金属、复合材料板、壳弯曲问题的基本公式。大量数值计算从各方面证明了本方法具有良好的使用性能。

关 键 词:样条函数  复合材料  航天器    

THE APPLICATION OF SPLINE KANTOROVICH METHOD IN THE BENDING OF ANISOTROPIC PLATE AND CYLINDRICAL SHELL
Xu Houhua Chen Guangnan.THE APPLICATION OF SPLINE KANTOROVICH METHOD IN THE BENDING OF ANISOTROPIC PLATE AND CYLINDRICAL SHELL[J].Journal of Astronautics,1989,11(2):61-69.
Authors:Xu Houhua Chen Guangnan
Institution:National University of Defence Technology
Abstract:Spline Kantorovich method is a type of Kantorovich numerical method newly created by (1), it not only can transfer two-dimension problems into one-dimension problems but also has the advantages the Spline method, such as high precision, rapid convergence, suitability for various kinds of boundary conditions and availability to either plate or cylindrical shell. The formulas of bending problem of isotropic or anisotropic plate and shell is established, the applicability of this method has been shown by many numerical practices.
Keywords:Spline function  Metal Sheet  Composite  Twisting  Bending  
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