APPLYING DIFFERENTIAL TRANSFORM METHOD ON THE EFFECT OF ELASTIC FOUNDATION ON OUT OF PLANE DISPLACEMENT OF FUNCTIONALLY GRADED CIRCULAR PLATES

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ABBASI SOMAYEH; FARHATNIA FATEMEH; RASUOLI JAZI SAEID

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Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2012 | Volume:5 | Issue:1 (11) Page(s): 9-17

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Title

APPLYING DIFFERENTIAL TRANSFORM METHOD ON THE EFFECT OF ELASTIC FOUNDATION ON OUT OF PLANE DISPLACEMENT OF FUNCTIONALLY GRADED CIRCULAR PLATES

Author(s)

ABBASI SOMAYEH | FARHATNIA FATEMEH | RASUOLI JAZI SAEID | Issue Writer Certificate

Keywords

DIFFERENTIAL TRANSFORM METHOD (DTM)Q2

CIRCULAR PLATESQ2

WINKLER ELASTIC FOUNDATIONQ2

FUNCTIONALLY GRADED MATERIALS (FGM)Q2

OUT OF PLANE DISPLACEMENTQ2

Abstract

In this paper, effect of elastic foundation on OUT OF PLANE DISPLACEMENT of functionally graded CIRCULAR PLATES using differential transform method is presented. Differential transform method is a semi-analytical-numerical solution technique that is capable to solve various types of differential equations. Using this method, governing differential equations are transformed into recursive relations and boundary conditions are changed into algebraic equations. Since the problem of plates on elastic foundation have a great practical importance in modern engineering structures and Winkler foundation model is widely used, plate is assumed on WINKLER ELASTIC FOUNDATION. In this article functionally graded plate is considered in which material properties vary through the thickness direction by power-law distribution. Analysis results of OUT OF PLANE DISPLACEMENT of plate on elastic foundation under uniform transverse load are obtained in different terms of foundation stiffness, material properties and boundary conditions. To illustrate correctness and accuracy of the solution technique, obtained results are compared with the results of the finite element method (FEM).

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APA: Copy

ABBASI, SOMAYEH, FARHATNIA, FATEMEH, & RASUOLI JAZI, SAEID. (2012). APPLYING DIFFERENTIAL TRANSFORM METHOD ON THE EFFECT OF ELASTIC FOUNDATION ON OUT OF PLANE DISPLACEMENT OF FUNCTIONALLY GRADED CIRCULAR PLATES. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 5(1 (11)), 9-17. SID. https://sid.ir/paper/171293/en

Vancouver: Copy

ABBASI SOMAYEH, FARHATNIA FATEMEH, RASUOLI JAZI SAEID. APPLYING DIFFERENTIAL TRANSFORM METHOD ON THE EFFECT OF ELASTIC FOUNDATION ON OUT OF PLANE DISPLACEMENT OF FUNCTIONALLY GRADED CIRCULAR PLATES. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)[Internet]. 2012;5(1 (11)):9-17. Available from: https://sid.ir/paper/171293/en

IEEE: Copy

SOMAYEH ABBASI, FATEMEH FARHATNIA, and SAEID RASUOLI JAZI, “APPLYING DIFFERENTIAL TRANSFORM METHOD ON THE EFFECT OF ELASTIC FOUNDATION ON OUT OF PLANE DISPLACEMENT OF FUNCTIONALLY GRADED CIRCULAR PLATES,” JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), vol. 5, no. 1 (11), pp. 9–17, 2012, [Online]. Available: https://sid.ir/paper/171293/en

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