Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations

被引:107
作者
Ferreira, AJM
Roque, CMC
Jorge, RMN
Kansa, EJ
机构
[1] Univ Porto, Fac Engn, Dept Engn Mecan & Gestao Ind, P-4200465 Oporto, Portugal
[2] Univ Calif Davis, Dept Mech Engn, Davis, CA 95616 USA
关键词
layerwise deformation theory; composite plates; radial basis functions; static deformations; free vibrations;
D O I
10.1016/j.enganabound.2005.07.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, the static and free vibration analysis of composite plates are performed, using a layerwise deformation theory and multiquadrics discretization. This meshless discretization method considers radial basis functions as the approximation method for both the equations of motion and the boundary conditions. The combination of this layerwise theory and the multiquadrics discretization method allows a very accurate prediction of the natural frequencies. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1104 / 1114
页数:11
相关论文
共 77 条
[1]  
[Anonymous], 2003, MESH FREE METHODS
[2]  
[Anonymous], 1997, SURFACE FITTING MULT
[3]  
Barry W, 1999, INT J NUMER METH ENG, V46, P671, DOI 10.1002/(SICI)1097-0207(19991020)46:5<671::AID-NME650>3.0.CO
[4]  
2-9
[5]   Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration [J].
Beatson, RK ;
Cherrie, JB ;
Mouat, CT .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1999, 11 (2-3) :253-270
[6]   ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[7]  
Carrera E, 1996, INT J NUMER METH ENG, V39, P1797, DOI 10.1002/(SICI)1097-0207(19960615)39:11<1797::AID-NME928>3.0.CO
[8]  
2-W
[9]   Zigzag and interlaminar equilibria effects in large-deflection and postbuckling analysis of multilayered plates [J].
Carrera, E ;
Kroplin, B .
MECHANICS OF COMPOSITE MATERIALS AND STRUCTURES, 1997, 4 (01) :69-94
[10]   Evaluation of layerwise mixed theories for laminated plates analysis [J].
Carrera, E .
AIAA JOURNAL, 1998, 36 (05) :830-839