Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

محمد مهدی نجفی زاده ¹ , مجید علوی ² , فؤاد سلماسی ³ , شیما آذری ⁴

1 - دانشیار، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد اراک
2 - استادیار، دانشکده علوم،گروه ریاضی، دانشگاه آزاد اسلامی واحد استادیار، دانشکده علوم،گروه ریاضی، دانشگاه آزاد اسلامی واحد اراک
3 - دانشجوی کارشناسی ارشد، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد دانشجوی کارشناسی ارشد، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد اراک
4 - دانشجوی کارشناسی ارشد، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد اراک

Received: 2015-10-03 Accepted : 2015-10-03 Published : 2008-09-22

Keywords: Galerkin Method, FGM plate, Extended Kantorovich method, Classical plate’s theory,

Abstract :

Bending analysis of FGM plates under uniform and sinusoidal loaded result in forth order partial differential equation. In this paper the analytical solution is based on the extended Kantorovich iterative procedure. The differential equations for the iterative procedure is derived using the Galerkin method. The solution was develope based on the classical plate’s theory (CLPT). The reliability of the present analytical method for FGM, under different boundary condition, was verified and approved when comparing Navier solution and finite element results with ANSYS solution. Since the FGM modeling is impossibility at ANSYS, a macro has used for modeling and analysis.The results show a high accuracy and the iterative process converges very rapidly. It was also found that the final form of the generated solutions is independent of the initial trial function.

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