ANALYTICAL AND NUMERICAL MODELLING OF THE AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATES WITH THE NONLINEAR ELASTIC CORE MATERIAL

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KUDIN A.; CHOPOROV S.; TAMUROV YU.; AL OMARI M.A.V.

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Journal: JOURNAL OF SOLID MECHANICS Year:2016 | Volume:8 | Issue:3 Page(s): 590-601

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Title

ANALYTICAL AND NUMERICAL MODELLING OF THE AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATES WITH THE NONLINEAR ELASTIC CORE MATERIAL

Author(s)

KUDIN A. | CHOPOROV S. | TAMUROV YU. | AL OMARI M.A.V. | Issue Writer Certificate

Keywords

CIRCULAR SANDWICH PLATE

NONLINEAR ELASTIC MATERIAL

THE FINITE ELEMENT METHOD

PERTURBATION METHOD

Abstract

Herein paper compares the analytical model with the FEM based numerical model of the axisymmetric bending of CIRCULAR SANDWICH PLATEs. Also, the paper describes equations of the circular symmetrical sandwich plates bending with isotropic face sheets and the nonlinear elastic core material. The method of constructing an analytical solution of nonlinear differential equations has been described. The PERTURBATION METHOD for differential equations with small parameters is used to represent nonlinear differential equations as a sequence of linear equations. Linear differential equations are reduced to Bessel’s equation. It is compared results of analytical model with results of other researches using two problems: 1) the problem of axisymmetric transverse bending of a CIRCULAR SANDWICH PLATE, 2) the problem of axisymmetric transverse bending of an annular sandwich plate. The effect of accounting nonlinear elastic core material on the strain state of the sandwich plate is described.

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APA: Copy

KUDIN, A., CHOPOROV, S., TAMUROV, YU., & AL OMARI, M.A.V.. (2016). ANALYTICAL AND NUMERICAL MODELLING OF THE AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATES WITH THE NONLINEAR ELASTIC CORE MATERIAL. JOURNAL OF SOLID MECHANICS, 8(3), 590-601. SID. https://sid.ir/paper/319431/en

Vancouver: Copy

KUDIN A., CHOPOROV S., TAMUROV YU., AL OMARI M.A.V.. ANALYTICAL AND NUMERICAL MODELLING OF THE AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATES WITH THE NONLINEAR ELASTIC CORE MATERIAL. JOURNAL OF SOLID MECHANICS[Internet]. 2016;8(3):590-601. Available from: https://sid.ir/paper/319431/en

IEEE: Copy

A. KUDIN, S. CHOPOROV, YU. TAMUROV, and M.A.V. AL OMARI, “ANALYTICAL AND NUMERICAL MODELLING OF THE AXISYMMETRIC BENDING OF CIRCULAR SANDWICH PLATES WITH THE NONLINEAR ELASTIC CORE MATERIAL,” JOURNAL OF SOLID MECHANICS, vol. 8, no. 3, pp. 590–601, 2016, [Online]. Available: https://sid.ir/paper/319431/en

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