解平行四边形薄板弯曲问题的样条有限条法

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Analysis of Thin Parallelogram Plates’ Bending by Spline-Finite-Strip Method

1.
Associate Professor, Department of Computer Science Zhongshm University, Visiting Senior Research Assistant, DepartmentOf Civil Engineering, University of Hong Kong;
2.
Lecturer, Department of Civil Engineering, University of Hong Kong;

摘要: Y.K.Cheung等(1982)用样条有限条方法成功地求解了矩形板和壳的问题.本文将此法作少许的修正用于分析平行四边形板,这一修正只增加少许的计算量,但仍保持有限条法的良好性质(如带状性质等)本文还给出方法的误差估计和数值算例.

Abstract: Spline finite strip has bees successfully applied in solving right plates and shells by Chenag et al in 1982. In this paper, the method is eateaded to the analysis of paralle-logram plate, This ezteasioa still retains the beaded aatare of the spline finite strip and only small amount of eztra computing effort is required. Furthermore, the discretisation error of the above method is established theoretically as a general case for the spline finite strip method.

[1]	Zienkiewicz,O,C.,The Finite,Ellent Method,3rd Edition.McGraw-Hill,U,K,(1974).
[2]	Cheung,Y,K.,Finite Stri pregamon,Structural Analysis,1st Ed,Pergamon Press(1976).
[3]	Cheung,Y.K.,S.C,Fan sad C,Wu,Spline finite strip in structural analysis,Proc,of the Inter,Conf.on Finite Element Method,Shanghai(1982),704-709.
[4]	Schultz.M,H.,Spline Analysis,Prentice-Hall,Inc,(1973).
[5]	李岳生、齐东旭《样条函数方法》.科学出版社(1982).
[6]	Ciarlet,P,G.,Namerical Analysis of the Finite Element Method,(有中译本)(1975).
[7]	Ramstad,H.,Parallelogram elements in bending Accuracy and convergence of results,Div,of Structural Mechanics,The Technical University of Norway(1967)

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