Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation

被引：16

作者：

Awrejcewicz, Jan ^{[1
]}

Kurpa, Lidiya ^{[2
]}

Osetrov, Andrey ^{[2
]}

机构：

[1] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland

[2] Kharkov Polytech Univ, Dept Appl Math, UA-310002 Kharkov, Ukraine

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 06期

关键词：

Laminated shallow shells; stress-strain state; R-functions method (RFM); spline-approximation; finite elements method (FEM/ANSYS); planform with square hole;

D O I：

10.1002/zamm.201000164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bending behavior of the laminated shallow shells under static loading has been studied using the R-functions theory together with the spline-approximation. Formulation is based on the first order shear deformation theory. Due to usage of the R-functions theory the laminated shallow shells with complex shape and different types of the boundary conditions can be investigated. Application of the spline-approximation allows getting reliable and validated results for non concave domains and domains with holes. The proposed method is implemented in the appropriate software in framework of the mathematical package MAPLE. The analysis of influence of certain factors (curvature, packing of layers, geometrical parameters, boundary conditions) on a stress-strain state is carried out for shallow shells with cut-outs. The comparison of obtained results with those already known from literature and results obtained by using ANSYS are also presented. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：458 / 467

页数：10

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