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.
Citation: 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.

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

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