COMPUTER SIMULATION OF BENDING CIRCULAR SANDWICH PLATES USING ANALYTICAL AND NUMERICAL APPROACHES

Authors

  • A. V. Kudin Zaporizhzhya National University, Ukraine, Ukraine
  • S. V. Choporov Zaporizhzhya National University, Ukraine, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2014-1-11

Keywords:

computer simulation, sandwich symmetrical plate, circular plate, nonlinear-elastic core, axisymmetric bending, FEMmodel.

Abstract

The paper describes equations of circular symmetrical sandwich plates bending for plates with isotropic outer layers and nonlinear elastic filler. Two computer models of circular sandwich plates are proposed: 1) analytical model on the basis of Maple CAS, 2) threedimensional FEM-model. We compare results of analytical model with results of numerical simulation using two problems: 1) the problem of axisymmetric transverse bending of a sandwich plate, 2) the problem of axisymmetric transverse bending of a single-layer plate with linear and nonlinear formulation. The first section of the article describes basic differential equations and analytical model constructing method. FEM-model is described in the second section. Numerical results of computer simulation are showed in the last section of the article.

References

Каудерер, Г. Нелинейная механика / Каудерер Г. ; пер. с нем. – М. : Изд-во иностр. лит., 1961. – 777 с.

Горшков, А. Г. Механика слоистых вязкоупругопластических элементов конструкций / А. Г. Горшков, Э. И. Старовойтов, А. В. Яровая. – М. : ФИЗМАТЛИТ, 2005. – 576 с.

Михайлов, И. П. Некоторые задачи осесимметричного изгиба круглых трехслойных пластин с жестким заполните- лем // Труды Ленинградского кораблестроительного института. – 1969. – Вып. 66. – С. 125–131.

Прусаков, А. П. Некоторые задачи изгиба круглых трехслойных пластин с легким заполнителем // Тр. конф. по теор. пластин и оболочек. – 1961. – № 1. – С. 293–297.

Тимошенко, С. П. Пластинки и оболочки / С. П. Тимошенко, С. Войновский-Кригер. – М. : Физматгиз, 1964. – 636 с.

Кудин, А. В. Применение метода малого параметра при моделировании изгиба симметричных трехслойных пластин с нелинейно-упругим заполнителем / А. В. Кудин, Ю. Н. Тамуров // Вісник Східноукраїнського національного університету імені Володимира Даля. – 2011. – № 11 (165). – С. 32–40.

Тамуров, Ю. Н. Вариант обобщeнной теории трeхслойных пологих оболочек с учeтом обжатия физически нелинейного заполнителя // Прикладна механика. – 1990. – Т. 26, № 12. – С. 39–45.

Тамуров, Ю. Н. Уравнения изгиба и устойчивости трехслойных оболочек с ортотропными и нелинейно-упругими свойствами материалов // Исслед. по теор. пластин и оболочек. – 1990. – № 20. – С. 102–112.

Liu, Renhuai Nonlinear Bending of Circular Sandwich Plates / Liu Renhuai // Applied Mathematics and Mechanics. English Edition. – 1981. – Vol. 2, No. 2. – P. 189–208.

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Published

2014-03-28

How to Cite

Kudin, A. V., & Choporov, S. V. (2014). COMPUTER SIMULATION OF BENDING CIRCULAR SANDWICH PLATES USING ANALYTICAL AND NUMERICAL APPROACHES. Radio Electronics, Computer Science, Control, (1). https://doi.org/10.15588/1607-3274-2014-1-11

Issue

No. 1 (2014): Radio Electronics, Computer Science, Control

Section

Mathematical and computer modelling

License

Copyright (c) 2014 A. V. Kudin, S. V. Choporov

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