On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells

被引：5

作者：

Krysko, V. A. ^{[1
]}

Awrejcewicz, J. ^{[2
]}

Zhigalov, M. V. ^{[1
]}

Papkova, I. V. ^{[1
]}

Yakovleva, T. V. ^{[1
,3
]}

Krysko, A. V. ^{[3
,4
]}

机构：

[1] Saratov State Tech Univ, Dept Math & Modeling, 77 Politehn Skaya Str, Saratov 410054, Russia

[2] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowski St, PL-90924 Lodz, Poland

[3] Natl Res Tomsk Polytech Univ, Cybernet Inst, 30 Lenin Ave, Tomsk 634050, Russia

[4] Saratov State Tech Univ, Dept Appl Math & Syst Anal, Politehn Skaya 77, Saratov 410054, Russia

来源：

NONLINEAR DYNAMICS | 2018年 / 92卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Buckling; Vibrations; Shells; Structures; Finite differences; SHEAR DEFORMATION-THEORY; DOUBLY-CURVED SHELLS; PLY LAMINATED PLATES; NONLINEAR VIBRATION; LARGE-AMPLITUDE; FINITE-ELEMENT; TRANSVERSE-SHEAR; DYNAMIC-ANALYSIS; BEAMS; THIN;

D O I：

10.1007/s11071-018-4183-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Mathematical models of multi-layer orthotropic shells were reconsidered based on the Timoshenko hypothesis. A new mathematical model with epsilon-regularisation was proposed, and the theorem regarding the existence of a generalised solution to the model was formulated and proved. The algorithms of numerical investigation of models studied with the aid of the variational-difference method were developed. The associated stability problem was also addressed. A comparison of the results yielded by the considered models was carried out and discussed for numerous factors and parameters.

引用

页码：2093 / 2118

页数：26

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