Fundamental frequency of a cantilever composite cylindrical shell

被引：12

作者：

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

Morozov, E. V. ^{[2
]}

机构：

[1] Siberian State Aerosp Univ, Dept Aerosp Engn, Krasnoyarsk, Russia

[2] Univ New S Wales, Australian Def Force Acad, Sch Engn & Informat Technol, Canberra, ACT, Australia

来源：

COMPOSITE STRUCTURES | 2015年 / 119卷

关键词：

Free vibrations; Composite cantilever cylindrical shell; Fundamental frequency; Hamilton's principle; Generalised Galerkin method; CLAMPED-FREE; AXISYMMETRICAL SHELLS; NATURAL FREQUENCIES; FREE-VIBRATIONS; MODEL;

D O I：

10.1016/j.compstruct.2014.09.038

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Free vibrations of a cantilever composite circular cylindrical shell are considered in this paper. The edge of the shell is fully clamped at one end of the cylinder and is free at the open section of the other end. Variational equations of free vibrations are derived based on Hamilton's principle and the problem is solved using the generalised Galerkin method. Analytical formulas enabling calculations of the fundamental frequency are obtained and verified by comparison with the results of a finite element modal analysis. The efficiency of the analytical solution is demonstrated using numerical examples including the design analysis of composite shells subject to constraints imposed on the fundamental frequency. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：638 / 647

页数：10

共 28 条

[21]

Soedel W, 2004, VIBRATIONS SHELLS PL

[22] VIBRATION OF CANTILEVER CYLINDRICAL-SHELLS [J].

SRINIVASAN, RS ;

SANKARAN, S .

JOURNAL OF SOUND AND VIBRATION, 1975, 40 (03) :425-430

[23] ANALYSIS OF FREE VIBRATION OF CANTILEVER CYLINDRICAL THIN ELASTIC SHELLS BY MATRIX PROGRESSION METHOD [J].

TOTTENHAM, H ;

SHIMIZU, K .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1972, 14 (05) :293-+

[24]

Vasiliev ValeryV., 1993, MECH COMPOSITE STRUC

[25]

Vasiliev VV, 2013, Advanced Mechanics of Composite Materials and Structural Elements, V3rd

[26]

Ventsel E., 2001, Thin Plates and Shells: Theory, Analysis, and Applications, DOI DOI 10.1115/1.1483356

[27]

Volmir A.S., 1974, The nonlinear dynamics of plates and shells

[28] NATURAL FREQUENCIES OF THIN CANTILEVER CYLINDRICAL SHELLS [J].

WARBURTON, GB ;

HIGGS, J .

JOURNAL OF SOUND AND VIBRATION, 1970, 11 (03) :335-+

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