Solution of the Connection Problems between a Finite Holed Plate and a Stiffener by Using the Partitioning Concept of the Generalized Variational Method

Chen Yi-heng; Zhou De-jiao; Wang Ping

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(7): 649-660

Chen Yi-heng, Zhou De-jiao, Wang Ping. Solution of the Connection Problems between a Finite Holed Plate and a Stiffener by Using the Partitioning Concept of the Generalized Variational Method[J]. Applied Mathematics and Mechanics, 1987, 8(7): 649-660.

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Solution of the Connection Problems between a Finite Holed Plate and a Stiffener by Using the Partitioning Concept of the Generalized Variational Method

Xi'an Jiaotong University, Xi'an

Received Date: 1985-06-13
Publish Date: 1987-07-15

Abstract

Abstract

In this paper a new finite element method is presented, in which complex functions are chosen to be the finite element model and the partitioning concept of the generalized variational method is utilized. The stress concentration factors for a finite holed plate welded by a stiffener are calculated and the analytical solutions in series form are obtained. From some computer trials it is demonstrated that the problem of displacement compatibility and continuity of tractions between the holed plate and the stiffener is successfully analysed by using this method. Since only three elements need to be formulated, relatively less storage is required than the usual finite element methods. Furthermore, the accuracy of solutions is improved and the computer time requirements are considerably reduced. Numerical results of stress concentration factors and stresses along the welded-line which may be referential to engineers are shown in tables.

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References(10)

References

[1]	Zhen,Y.H.,On a finite element method for solving Dirichlet's problem of Laplace's equation,Inter.J.Num.Meth.Engng.18,5(1982),687-700.
[2]	Washizu,K.,Variational Method in Elasticty and Plasticty,Pergamon Press,Oxford(1975).
[3]	陈宜亨,两连域保角映射成环域的一种方法,应用数学和力学,4,6(1983),853-860.
[4]	Zhen,Y.H.,Solution of plane notch problems for a finite plate by the generalized variational method,Computer Methods in Applied Mechanics and Engineering 42,1(l984),57-70.
[5]	龙驭球,弹性厚板的分区广义变分原理,应用数学和力学,4,2(1983),165-172.
[6]	龙驭球,弹性力学的分区广义变分原理,上海力学,2,2(1981),1-9.
[7]	Muskhelishvili,N.I.,Some Basic Problems of Mathematical Theory of Elasticity,P.Noovdhoff Ltd,Groningen(1953).(in Russian).
[8]	钱伟长,《变分法及有限元》,科学出版社(1980).
[9]	钱伟长等,《弹性力学》,科学出版社(1956).
[10]	Chen Yi-heng,On the partitioning concept of the generalized variational method and a complex function finite element model for solving stiffened problems for a finite internally cracked plate.(to be published).