Numerical Investigation of Physically Nonlinear Problem of Sandwich Plate Bending

被引：33
|
作者：
Badriev, I. B. [1 ]
Makarov, M. V. [1 ,2 ]
Paimushin, V. N. [1 ,2 ]
机构：
[1] Kazan Fed Univ, 18 Kremlyovskaya St, Kazan 420008, Russia
[2] Kazan Natl Res Tech Univ, 10 Karl Marx St, Kazan 420111, Russia
来源：
2ND INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING (ICIE-2016) | 2016年 / 150卷
基金：
俄罗斯科学基金会;
关键词：
sandwich plate; transversely soft core; the physical nonlinearity; saddle problem; iterative method; numerical experiment;
D O I：
10.1016/j.proeng.2016.07.213
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The present work is devoted to the numerical investigation of geometrically linear problem of bending of sandwich plate with transversal-soft core for the physically non-linear case. The generalized statement of the problem consists in finding a saddle point of some functional. The existence and uniqueness theorem solutions are proved. To solve the problem, we use an iterative process previously proposed by the authors, each step of which is reduced to solving a linear problem of the elasticity theory and finding the projection onto convex closed set. A Matlab software package was developed, numerical experiments for the model problems are performed. The results of numerical experiments show the effectiveness of the proposed iterative method. (C) 2016 The Authors. Published by Elsevier Ltd.
引用
收藏
页码：1050 / 1055
页数：6
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