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Information Journal Paper

Title

ANALYSIS OF THIN ISOTROPIC AND ORTHOTROPIC PLATES WITH ELEMENT-FREE GALERKIN METHOD AND VARIOUS GEOMETRIC SHAPES

Pages

  143-157

Keywords

ELEMENT FREE METHOD OF GALERKIN (EFG)Q2

Abstract

 Utilizing one of the mesh free methods, the present paper concerns static analysis of thin plates with various geometric shapes based on the mindlin classical plate theories. In this numerical method, the domain of issue is solely expressed through a set of nods and no gridding or element is required. To express the domain of issues with various geometric shapes, first a set of nodes are defined in a standard rectangular domain, then via a three-order map with, these nodes are transferred to themain domain of the original issue; therefore plates of various geometric shapes can be analyzed. Among meshfree numerical methods, Element Free Galerkin method (EFG) is utilized here. The method is one of the weak form integral methods that uses MLS shape functions for approximation. Regarding the absence of Delta feature in MLS functions, boundary conditions cannot be imposed directly; hence the Lagrangian method is utilized to impose boundary conditions. At the end, our outputs are compared with those of analytic and finite element methods for plates, in order to validate the exactness of our solution method, and then after reliability is established, a few new examples will be solved.

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    APA: Copy

    EDALATI, H., & SOLTANI, B.. (2016). ANALYSIS OF THIN ISOTROPIC AND ORTHOTROPIC PLATES WITH ELEMENT-FREE GALERKIN METHOD AND VARIOUS GEOMETRIC SHAPES. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), 34(2), 143-157. SID. https://sid.ir/paper/173618/en

    Vancouver: Copy

    EDALATI H., SOLTANI B.. ANALYSIS OF THIN ISOTROPIC AND ORTHOTROPIC PLATES WITH ELEMENT-FREE GALERKIN METHOD AND VARIOUS GEOMETRIC SHAPES. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL)[Internet]. 2016;34(2):143-157. Available from: https://sid.ir/paper/173618/en

    IEEE: Copy

    H. EDALATI, and B. SOLTANI, “ANALYSIS OF THIN ISOTROPIC AND ORTHOTROPIC PLATES WITH ELEMENT-FREE GALERKIN METHOD AND VARIOUS GEOMETRIC SHAPES,” JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), vol. 34, no. 2, pp. 143–157, 2016, [Online]. Available: https://sid.ir/paper/173618/en

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