BENDING ANALYSIS OF RECTANGULAR FGM PLATES BASED ON THE EXTENDED KANTOROVICH METHOD

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NAJAFIZADEH M.M.; ALAVI MAJID; SALMASI FOUAD; AZARI SH.

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Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2008 | Volume:1 | Issue:3 Page(s): 27-37

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Title

BENDING ANALYSIS OF RECTANGULAR FGM PLATES BASED ON THE EXTENDED KANTOROVICH METHOD

Author(s)

NAJAFIZADEH M.M. | ALAVI MAJID | SALMASI FOUAD | AZARI SH. | Issue Writer Certificate

Keywords

EXTENDED KANTOROVICH METHODQ2

FGM PLATEQ3

GALERKIN METHODQ2

CLASSICAL PLATE’S THEORYQ3

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.

Cites

BENDING ANALYSIS OF RECTANGULAR COMPOSITE PLATES WITH PIEZOELECTRIC LAYERS, BASED ON THE FIRST ORDER SHEAR DEFORMATION THEORY, USING THE EXTENDED KANTOROVICH METHOD

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APA: Copy

NAJAFIZADEH, M.M., ALAVI, MAJID, SALMASI, FOUAD, & AZARI, SH.. (2008). BENDING ANALYSIS OF RECTANGULAR FGM PLATES BASED ON THE EXTENDED KANTOROVICH METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 1(3), 27-37. SID. https://sid.ir/paper/171389/en

Vancouver: Copy

NAJAFIZADEH M.M., ALAVI MAJID, SALMASI FOUAD, AZARI SH.. BENDING ANALYSIS OF RECTANGULAR FGM PLATES BASED ON THE EXTENDED KANTOROVICH METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)[Internet]. 2008;1(3):27-37. Available from: https://sid.ir/paper/171389/en

IEEE: Copy

M.M. NAJAFIZADEH, MAJID ALAVI, FOUAD SALMASI, and SH. AZARI, “BENDING ANALYSIS OF RECTANGULAR FGM PLATES BASED ON THE EXTENDED KANTOROVICH METHOD,” JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), vol. 1, no. 3, pp. 27–37, 2008, [Online]. Available: https://sid.ir/paper/171389/en

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