Discrete singular convolution for buckling analyses of plates and columns

被引:15
作者
Civalek, Oemer [1 ]
Yavas, Altug [2 ]
机构
[1] Akdeniz Univ, Fac Engn, Dept Civil Engn, Div Mech, TR-07058 Antalya, Turkey
[2] Balikesir Univ, Fac Engn, Dept Civil Engn, Div Struct, Balikesir, Turkey
关键词
buckling; plates; discrete singular convolution; columns; circular plate; skew plate;
D O I
10.12989/sem.2008.29.3.279
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In the present study, the discrete singular convolution (DSC) method is developed for buckling analysis of columns and thin plates having different geometries. Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. The results obtained by DSC method were compared with those obtained by the other numerical and analytical methods.
引用
收藏
页码:279 / 288
页数:10
相关论文
共 23 条
[1]  
[Anonymous], 1998, FINITE ELEMENT ANAL
[2]  
[Anonymous], 2005, ADV VIB ENG
[3]  
Bathe K, 2000, FINITE ELEMENT METHO
[4]   STATIC AND FREE VIBRATIONAL ANALYSIS OF BEAMS AND PLATES BY DIFFERENTIAL QUADRATURE METHOD [J].
BERT, CW ;
WANG, X ;
STRIZ, AG .
ACTA MECHANICA, 1994, 102 (1-4) :11-24
[5]  
Chajes A, 1974, Principles of structural stability theory
[6]   Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns [J].
Civalek, Ö .
ENGINEERING STRUCTURES, 2004, 26 (02) :171-186
[8]   Vibration analysis of conical panels using the method of discrete singular convolution [J].
Civalek, Oemer .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2008, 24 (03) :169-181
[9]   Numerical analysis of free vibrations of laminated composite conical and cylindrical shells:: Discrete singular convolution (DSC) approach [J].
Civalek, Omer .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) :251-271
[10]   Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method [J].
Civalek, Omer .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2007, 49 (06) :752-765