Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness

被引:15
作者
Awrejcewicz, Jan [1 ]
Kurpa, Lidiya [2 ]
Shmatko, Tatiyana [2 ]
机构
[1] Lodz Univ Technol, PL-90924 Lodz, Poland
[2] Natl Tech Univ, UA-61002 Kharkov, Ukraine
关键词
NONLINEAR VIBRATIONS;
D O I
10.1590/S1679-78252013000100015
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The present formulation of the analysed problem is based on Donell's nonlinear shallow shell theory, which adopts Kirchhoff's hypothesis. Transverse shear deformations and rotary inertia of a shell are neglected. According to this theory, the non-linear strain-displacement relations at the shell midsurface has been proposed. The validity and reliability of the proposed approach has been illustrated and discussed, and then a few examples of either linear or non-linear dynamics of shells with variable thickness and complex shapes have been presented and discussed.
引用
收藏
页码:149 / 162
页数:14
相关论文
共 13 条
[1]   Non-linear vibrations of doubly curved shallow shells [J].
Amabili, M .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2005, 40 (05) :683-710
[2]  
Amabili M, 2008, NONLINEAR VIBRATIONS AND STABILITY OF SHELLS AND PLATES, P1, DOI 10.1017/CBO9780511619694
[3]  
Awrejcewicz J, 2010, INT J NONLIN SCI NUM, V11, P371
[4]   Free vibrations of rectangular orthotropic shallow shells with varying thickness [J].
Budak, V. D. ;
Grigorenko, A. Ya. ;
Puzyrev, S. V. .
INTERNATIONAL APPLIED MECHANICS, 2007, 43 (06) :670-682
[5]   NONLINEAR-ANALYSIS OF DOUBLY CURVED SYMMETRICALLY LAMINATED SHALLOW SHELLS WITH RECTANGULAR PLANFORM [J].
CHIA, CY .
INGENIEUR ARCHIV, 1988, 58 (04) :252-264
[6]   Free vibration of composite skewed cylindrical shell panel by finite element method [J].
Haldar, Salil .
JOURNAL OF SOUND AND VIBRATION, 2008, 311 (1-2) :9-19
[7]  
Kurpa L., 2009, J. Math. Sci., V162, P85
[8]  
Kurpa L.V., 2009, R FUNCTIONS METHOD S
[9]   Nonlinear vibrations of shallow shells with complex boundary: R-functions method and experiments [J].
Kurpa, Lidia ;
Pilgun, Galina ;
Amabili, Marco .
JOURNAL OF SOUND AND VIBRATION, 2007, 306 (3-5) :580-600
[10]   Recent research advances on the dynamic analysis of composite shells: 2000-2009 [J].
Qatu, Mohamad S. ;
Sullivan, Rani Warsi ;
Wang, Wenchao .
COMPOSITE STRUCTURES, 2010, 93 (01) :14-31