Bending analysis of thin functionally graded plates using generalized differential quadrature method |
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Authors: | A Fereidoon M Asghardokht seyedmahalle A Mohyeddin |
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Institution: | (1) Department of Mechanical Engineering, Urmia University, Urmia, Iran;(2) Robotic System, Fraunhofer Institute for Factory Operation and Automation, Magdeburg, Germany |
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Abstract: | In this paper, the differential quadrature (DQ) method is presented for easy and effective analysis of isotropic functionally
graded (FG) and functionally graded coated (FGC) thin plates with constant Poisson’s ratio and varying Young’s modulus in
the thickness direction. The bending of FG and FGC plates under transverse loading has been studied using the polynomial differential
quadrature (PDQ) and the harmonic differential quadrature (HDQ) methods. A three-dimensional elasticity solution for a moderately
thick FG plate with exponential Young’s modulus is used as the benchmark. Two examples, including a thin FG rectangular plate
and a thin FGC rectangular plate with sigmoidal Young’s modulus, are investigated. The numerical results of PDQ and HDQ methods
reveal good agreement with other solutions. Also, it is shown that the formulations for thin FG plates and homogeneous plates
are similar, except that the plane strain components of the middle surface in FG plates are not zero. |
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