Three-Dimensional Non-stationary Motion of Timoshenko-Type Circular Cylindrical Shell

被引：4
|
作者：
Fedotenkov, G. V. [1 ,2 ]
Kalinchuk, V. V. [3 ]
Mitin, A. Y. [1 ]
机构：
[1] Moscow Inst Aviat Technol, Volokolamskoe Sh 4, Moscow 125993, Russia
[2] Moscow Lomonosov State Univ, Res Inst Mech, Michurinskii Pr 1, Moscow 119192, Russia
[3] Russian Acad Sci, Southern Sci Ctr, Ul Chehova 41, Rostov Na Donu 344006, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Timoshenko-type circular cylindrical shell; superposition method; spatial influence function; Fourier series; integral transformations; non-stationary spatial motion; ELASTIC HALF-SPACE; NONLINEAR PROBLEM; DIFFUSION; IMPACT;
D O I：
10.1134/S1995080219030107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates a spatial non-stationary problem of motion of a Tymoshenko-type cylindrical shell subjected to external pressure distributed over some area belonging to a lateral surface. The approach to the solution is based on the Influence Function Method. There has been constructed an integral representation of the solution with a kernel in form of a spatial influence function for a cylindrical shell which is found analytically by expansion in Fourier series and Laplace and Fourier integral transformations. This paper proposes and implements an original algorithm of analytical reversion of Fourier and Laplace integral transforms based on connection of Fourier integral with an expansion in Fourier and Laplace series based on connection of Fourier integral with expansion in Fourier series at variable interval with examples of calculations.
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页码：311 / 320
页数：10
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