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.
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页码：2093 / 2118
页数：26
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