Static and vibration analysis of orthotropic toroidal shells of variable thickness by differential quadrature

被引:32
作者
Jiang, W [1 ]
Redekop, D [1 ]
机构
[1] Univ Ottawa, Dept Mech Engn, Ottawa, ON K1N 6N5, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
statics; vibrations; toroidal shell; orthotropic material;
D O I
10.1016/S0263-8231(02)00116-7
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this study the static and free vibration characteristics of linear elastic orthotropic toroidal shells of variable thickness are considered. A solution based on the Sanders-Budiansky shell equations is developed. The semi-analytical differential quadrature method in which Fourier series are written in the circumferential direction is adopted. This approach reduces the computational work to a series of one-dimensional problems. A novelty in the solution concerns the use of power series as trial functions in a domain exhibiting cyclic periodicity. Using the developed theory numerical results are determined for two separate applications. The results obtained are compared with results from the finite element method, and conclusions are drawn. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:461 / 478
页数:18
相关论文
共 16 条
[11]   DYNAMIC STIFFNESS VIBRATION ANALYSIS OF THICK SPHERICAL SHELL SEGMENTS WITH VARIABLE THICKNESS [J].
Efraim, Elia ;
Eisenberger, Moshe .
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2010, 5 (05) :821-835
[12]   Thermo-mechanical vibration analysis of rotating nonlocal nanoplates applying generalized differential quadrature method [J].
Ebrahimi, Farzad ;
Shafiei, Navvab ;
Kazemi, Mohammad ;
Abdollahi, Seyed Mostafa Mousavi .
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2017, 24 (15) :1257-1273
[13]   DYNAMIC ANALYSIS AND CRITICAL SPEED OF PRESSURIZED ROTATING COMPOSITE LAMINATED CONICAL SHELLS USING GENERALIZED DIFFERENTIAL QUADRATURE METHOD [J].
Ghayour, M. ;
Rad, S. Ziaei ;
Talebitooti, R. ;
Talebitooti, M. .
JOURNAL OF MECHANICS, 2010, 26 (01) :61-70
[14]   A Semi-Analytical Solution for Elastic Analysis of Rotating Thick Cylindrical Shells with Variable Thickness Using Disk Form Multilayers [J].
Nejad, Mohammad Zamani ;
Jabbari, Mehdi ;
Ghannad, Mehdi .
SCIENTIFIC WORLD JOURNAL, 2014,
[15]   A unified solution for the vibration analysis of two-directional functionally graded axisymmetric Mindlin-Reissner plates with variable thickness [J].
Temel, Beytullah ;
Noori, Ahmad Reshad .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2020, 174
[16]   Radial basis functions-differential quadrature collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's Zig-Zag theory [J].
Rodrigues, J. D. ;
Roque, C. M. C. ;
Ferreira, A. J. M. ;
Cinefra, M. ;
Carrera, E. .
COMPUTERS & STRUCTURES, 2012, 90-91 :107-115