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A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences

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Abstract

A finite-difference analysis of the large deflection response of uniformly loaded square, circular and elliptical clamped and simply-supported orthotropic plates is presented. Several types of non-uniform (graded) mesh are investigated and a mesh suited to the curved boundary of the orthotropic circular and elliptical plate is identified. The DXDR method-a variant of the DR (dynamic relaxation) method-is used to solve the finite-difference forms of the governing orthotropic plate equations. The DXDR method and irregular rectilinear mesh are combined along with the Cartesian coordinates to treat all types of boundaries and to analyze the large deformation of non-isotropic circular/elliptical plates. The results obtained from plate analyses demonstrate the potential of the non-uniform meshes employed and it is shown that they are in good agreement with other results for square, circular and elliptical isotropic and orthotropic clamped and simply-supported plates in both fixed and movable cases subjected to transverse pressure loading.

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Authors and Affiliations

  1. Department of Mechanical Engineering, The University of Ferdowsi, 91775-1111, Mashhad, Iran

    M. Kadkhodayan & A. Erfani Moghadam

  2. Engineering Department, Lancaster University, Bailrigg, Lancaster, LA1 4YR, UK

    G. J. Turvey

  3. Department of Civil Engineering, Azad University, Mashhad, Iran

    J. Alamatian

Authors
  1. M. Kadkhodayan
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  2. A. Erfani Moghadam
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  3. G. J. Turvey
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  4. J. Alamatian
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Corresponding author

Correspondence to M. Kadkhodayan.

Additional information

Recommended by Associate Editor Heung Soo Kim

Mehran Kadkhodayan received his B.Sc. and M.Sc. degrees from Tehran University, Iran in 1987 and Ph.D degree from the University of Sydney, Australia in sheet metal forming area in 1996. Currently as a full professor he is working in Ferdowsi University of Mashhad, Iran. He has published about 36 journal papers and more than 50 conference papers.

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Kadkhodayan, M., Erfani Moghadam, A., Turvey, G.J. et al. A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences. J Mech Sci Technol 26, 3231–3242 (2012). https://doi.org/10.1007/s12206-012-0823-7

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  • DOI: https://doi.org/10.1007/s12206-012-0823-7

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