Free vibrations of elastic circular toroidal shells

被引：27

作者：

Ming, RS ^{[1
]}

Pan, J ^{[1
]}

Norton, MP ^{[1
]}

机构：

[1] Univ Western Australia, Dept Mech & Mat Engn, Nedlands, WA 6907, Australia

来源：

APPLIED ACOUSTICS | 2002年 / 63卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1016/S0003-682X(01)00051-2

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, the free vibrations of elastic in vacuo circular toroidal shells under different boundary conditions are studied using the linear Sanders thin shell theory. Beam functions are used to describe the motion along the meridional direction whilst trigonometric functions are used to represent the deformation of the cross section. It is shown that both the natural frequencies and the mode shapes can be accurately predicted as long as the employed beam functions satisfy the boundary conditions at the ends of the shells. The dependence of the free vibration characteristics of an elastic toroidal shell upon boundary conditions and toroidal to cross-sectional radius ratio is also illustrated and explained in this paper. (C) 2002 Published by Elsevier Science Ltd.

引用

页码：513 / 528

页数：16

共 15 条

[1] FREE VIBRATIONS OF RING-STIFFENED TOROIDAL SHELLS [J].

BALDERES, T ;

ARMENAKAS, AE .

AIAA JOURNAL, 1973, 11 (12) :1637-1644

[2]

*KARLSS SOR INC, 1995, ABAQUS THEOR MAN 5 5

[3]

KOSAWADA T, 1986, B JSME, V29, P3036, DOI 10.1299/jsme1958.29.3036

[4]

KOSAWADA T, 1985, B JSME, V28, P2041, DOI 10.1299/jsme1958.28.2041

[5]

Leissa AW., 1973, Vibration of shells

[6] FREE-VIBRATION ANALYSIS OF A TOROIDAL SHELL [J].

LEUNG, AYT ;

KWOK, NTC .

THIN-WALLED STRUCTURES, 1994, 18 (04) :317-332

[7] FREE VIBRATIONS OF PRESTRESSED TOROIDAL MEMBRANE [J].

LIEPINS, AA .

AIAA JOURNAL, 1965, 3 (10) :1924-&

[8]

LIEPINS AA, 1967, CR885 NASA

[9]

LIEPINS AA, 1965, CR296 NASA

[10]

Lyell Sanders J., 1959, An Improved First-Approximation Theory for Thin Shells

← 1 2 →