NONLINEAR VIBRATIONS OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION

被引：2

作者：

李东

机构：

[1] Shanghai Institute of Applied Mathematics and Mechanics

[2] Shanghai University of Technology, Shanghai

来源：

Applied Mathematics and Mechanics(English Edition) | 1992年 / 04期

基金：

中国国家自然科学基金;

关键词：

geometrical nonlinearity; vibration; orthotropy; shallow conical shell; shallow spherical shell;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A set of nonlinearly coupled algebraic and differential eigenvalue equations of nonlinear axisymmetric free vibration of orthotropic shallow thin spherical and conical shells are formulated.following an assumed time-mode approach suggested in this paper. Analytic solutions are presented and an asymptotic relation for the amplitude-frequency response of the shells is derived. The effects of geometrical and material parameters on vibrations of the shells are investigated.

引用

页码：331 / 344

页数：14

共 50 条

[41] NONLINEAR FORCED VIBRATIONS OF SHALLOW SHELLS ON REGULAR POLYGONAL BASES
COLEBY, JR
MAZUMDAR, J
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1989, 85 (04): : 1577 - 1589
[42] Nonlinear vibrations of functionally graded doubly curved shallow shells
Alijani, F.
Amabili, M.
Karagiozis, K.
Bakhtiari-Nejad, F.
[J]. JOURNAL OF SOUND AND VIBRATION, 2011, 330 (07) : 1432 - 1454
[43] VIBRATIONS OF HETEROGENEOUS ORTHOTROPIC CYLINDRICAL SHELLS
STAVSKY, Y
LOEWY, R
[J]. JOURNAL OF SOUND AND VIBRATION, 1971, 15 (02) : 235 - &
[44] VIBRATIONS OF ORTHOTROPIC THICK CYLINDRICAL SHELLS
MIRSKY, I
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1964, 36 (01): : 41 - &
[45] TORSIONAL VIBRATIONS OF ORTHOTROPIC CONICAL SHELLS
TOMAR, JS
GUPTA, DC
SHARMA, RK
[J]. AIAA JOURNAL, 1982, 20 (03) : 444 - 446
[46] COMPUTER ANALYSIS OF ASYMMETRIC FREE VIBRATIONS OF RING-STIFFENED ORTHOTROPIC SHELLS OF REVOLUTION
COHEN, GA
[J]. AIAA JOURNAL, 1965, 3 (12) : 2305 - &
[47] Nonlinear vibrations and stability of orthotropic cylindrical shells with liquid under periodic effects
Pavlovskij, V.S.
[J]. Prikladnaya Mekhanika, 2000, 36 (10): : 115 - 124
[48] Nonlinear parametric vibrations of orthotropic cylindrical shells interacting with a pulsating fluid flow
Koval'chuk P.S.
Kruk L.A.
[J]. International Applied Mechanics, 2009, 45 (9) : 1007 - 1015
[49] Mixed finite element of geometrically nonlinear shallow shells of revolution
Stupishin, Leonid U.
Nikitin, Konstantin E.
[J]. ADVANCES IN CIVIL AND STRUCTURAL ENGINEERING III, PTS 1-4, 2014, 501-504 : 514 - 517
[50] Nonlinear dynamic response of symmetrically laminated cylindrically orthotropic truncated shallow shells
Wang, Fan
[J]. Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 2000, 32 (01): : 37 - 40

← 1 2 3 4 5 →