Analytical and Numerical Modelling of the Axisymmetric Bending of Circular Sandwich Plates with the Nonlinear Elastic Core Material

Journal of Solid Mechanics

مقاله 10، دوره 8، شماره 3، آذر 2016، صفحه 590-601   

نوع مقاله: Research Paper

نویسندگان

A Kudin^* ؛ S Choporov؛ Yu Tamurov؛ M.A.V Al Omari

Department of Mathematics, Zaporizhzhya National University, Zhukovsky street 66, Zaporizhzhya 69600, Ukraine

چکیده

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.

کلیدواژه‌ها

Circular Sandwich Plate؛ Nonlinear elastic material؛ The finite element method؛ Perturbation method

مراجع

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