Najafizadeh, M., Alavi, M., Salmasi, F., Azari, S. (2008). Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(3), 27-38.
Mohammad Mahdy Najafizadeh; Majid Alavi; Foad Salmasi; Shima Azari. "Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1, 3, 2008, 27-38.
Najafizadeh, M., Alavi, M., Salmasi, F., Azari, S. (2008). 'Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(3), pp. 27-38.
Najafizadeh, M., Alavi, M., Salmasi, F., Azari, S. Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2008; 1(3): 27-38.
Bending Analysis of Rectangular FGM Plates based on the Extended Kantorovich Method
1Associate Professor, Mechanical Engineering Dept., Islamic Azad University, Arak Branch
2Assistant Professor, Mathematical Dept., Islamic Azad University, Arak Branch
3M.Sc., Mechanical Engineering Dept.,Islamic Azad University, Arak Branch
4M.Sc., Mechanical Engineering Dept., Islamic Azad University, Arak Branch
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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