Analysis of circular cylindrical shells under harmonic forces

被引：19

作者：

Salahifar, Raydin ^{[1
]}

Mohareb, Magdi ^{[1
]}

机构：

[1] Univ Ottawa, Dept Civil Engn, Ottawa, ON K1N 6N5, Canada

来源：

THIN-WALLED STRUCTURES | 2010年 / 48卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Circular cylindrical thin shells; Closed-form solution; Forced vibration; Harmonic loading; Fourier series; VIBRATIONS;

D O I：

10.1016/j.tws.2010.02.006

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A generalized thin shell theory for the stress-deformation analysis of thin-walled circular cylindrical shells is formulated based on the Hamilton's variational principle. The theory is applicable to multiple in-phase and out-of-phase harmonic forces and general boundary conditions. The stationary conditions of the Hamilton functional are then evoked to recover the equations of motion and boundary conditions of the problem. The unknown displacement fields are expanded as infinite complex Fourier series in the circumferential coordinate. The resulting field equations are observed to couple the radial, tangential and longitudinal displacement contributions within each mode, while uncoupling the contributions of a given Fourier mode from those of other Fourier modes. A general solution for the obtained field equations is developed for harmonic loading of general spatial distribution. The method developed is verified against well established solutions and its applicability to practical problems is illustrated through examples. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：528 / 539

页数：12

共 29 条

[1] A comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach [J].

Amabili, M .

JOURNAL OF SOUND AND VIBRATION, 2003, 264 (05) :1091-1125

[2]

[Anonymous], 1973, STRESSES SHELLS, DOI DOI 10.1007/978-3-642-88291-3

[3]

[Anonymous], 1972, Tensor analysis and continuum mechanics

[4] DYNAMIC ANALYSIS OF RING-STIFFENED CIRCULAR CYLINDRICAL-SHELLS [J].

BESKOS, DE ;

OATES, JB .

JOURNAL OF SOUND AND VIBRATION, 1981, 75 (01) :1-15

[5] Axisymmetric transverse vibrations of circular cylindrical shells with variable thickness [J].

Duan, W. H. ;

Koh, C. G. .

JOURNAL OF SOUND AND VIBRATION, 2008, 317 (3-5) :1035-1041

[6] INFLUENCE OF BOUNDARY CONDITIONS ON THE MODAL CHARACTERISTICS OF THIN CYLINDRICAL SHELLS [J].

FORSBERG, K .

AIAA JOURNAL, 1964, 2 (12) :2150-2157

[7] Free vibration analysis of ring-stiffened cylindrical shells using wave propagation approach [J].

Gan, Lin ;

Li, Xuebin ;

Zhang, Zheng .

JOURNAL OF SOUND AND VIBRATION, 2009, 326 (3-5) :633-646

[8]

GLANDIER CY, 1992, J ACOUST SOC AM 1, V92

[9] The effects of dynamic absorbers on the forced vibration of a cylindrical shell and its coupled interior sound field [J].

Huang, YM ;

Fuller, CR .

JOURNAL OF SOUND AND VIBRATION, 1997, 200 (04) :401-418

[10] Free vibration of non-uniformly ring stiffened cylindrical shells using analytical, experimental and numerical methods [J].

Jafari, AA ;

Bagheri, M .

THIN-WALLED STRUCTURES, 2006, 44 (01) :82-90

← 1 2 3 →