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New Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole

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Year: 2018
COI code: JR_JSMA-10-3_008
Paper Language: English

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Authors New Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole

  Sh Dastjerdi - Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
  L Yazdanparast - Department of Mechanical Engineering, Damavand Branch, Islamic Azad University, Damavand, Iran


The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before has been used. By applying SAPM method, the nonlinear partial differential equations have been transformed to the nonlinear algebraic equations system. Then, the nonlinear algebraic equations have been solved by using Newton–Raphson method. The obtained results of this study have been compared with the results of other references and the accuracy of the results has been shown. The effect of some important parameters on the results such as the location of the circular hole, the ratio of major to minor radiuses of elliptical plate, the size of circular hole and boundary conditions have been studied. It is concluded that applying the presented method is very convenient and efficient. So, it can be used for analyzing the mechanical behavior of elliptical plates, instead of relatively complicated formulations in elliptic coordinates system.


Elliptical plate, Eccentric circular hole, First-order shear deformation theory, Semi-analytical polynomial method (SAPM)

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COI code: JR_JSMA-10-3_008

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Dastjerdi, Sh & L Yazdanparast, 2018, New Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole, Journal of Solid Mechanics 10 (3), the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Dastjerdi, Sh & L Yazdanparast, 2018)
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The University/Research Center Information:
Type: Azad University
Paper No.: 8751
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