Large Deflections of Viscoelastic Panels

被引：0

作者：

Kayumov, R. A. ^{[1
,2
]}

Tazyukov, B. F. ^{[3
]}

Mukhamedova, I. Z. ^{[1
]}

Shakirzyanov, F. R. ^{[1
]}

机构：

[1] Kazan State Univ Architecture & Engn, 1 Zelenaya Str, Kazan 420043, Russia

[2] Kazan Natl Res Tech Univ, 10 K Marks Str, Kazan 420111, Russia

[3] Kazan Fed Univ, 18 Kremlyovskaya Str, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2019年 / 63卷 / 11期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

composite material; panel; buckling; shear; postbuckling bending; nonlinear equation; viscoelasticity;

D O I：

10.3103/S1066369X19110100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the problem of large (even postbuckling) deflections of viscoelastic panels under a transverse distributed load or a concentrated force, including panels that were preliminary bended by compression. Along with bending deformations, we take into account the transverse shear. We reduce the system of static and cinematic correlations in the elastic statement to a system of two nonlinear integro-differential equations with respect to the deflection and the thrust force and give results of numerical calculations for several examples. Since the creep in a fibrous material reveals itself mainly in displacements, one can generalize the obtained solution for linearly viscoelastic panels.

引用

页码：71 / 76

页数：6

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