Free vibration and bending analysis of circular Mindlin plates using singular convolution method

被引：19
作者：
Civalek, Oemer [1 ]
Ersoy, Hakan [2 ]
机构：
[1] Akdeniz Univ, Fac Engn, Dept Civil Engn, Div Mech, TR-07058 Antalya, Turkey
[2] Akdeniz Univ, Fac Engn, Dept Mech Engn, Div Mech, TR-07058 Antalya, Turkey
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2009年 / 25卷 / 08期
关键词：
discrete singular convolution; circular plate; Mindlin plate theory; free vibration; bending; GENERALIZED DIFFERENTIAL QUADRATURE; NATURAL FREQUENCIES; RECTANGULAR-PLATES; INTERNAL SUPPORTS; ANNULAR PLATES; 3-DIMENSIONAL VIBRATION; ORTHOGONAL POLYNOMIALS; ELASTICITY SOLUTIONS; FLEXURAL VIBRATION; STRESS-RESULTANTS;
D O I：
10.1002/cnm.1138
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Circular plates are important structural elements in modern engineering structures. In this paper a computationally efficient and accurate numerical model is presented for the study of free vibration and bending behavior of thick circular plates based on Mindlin plate theory. The approach developed is based on the discrete singular convolution method and the use of regularized Shannon's delta kernel. Frequency parameters, deflections and bending moments are obtained for different geometric parameters of the circular plate. Comparisons are made with existing numerical and analytical Solutions in the literature. It is found that the DSC method yields accurate results for the free vibration and bending problems of thick circular plates. Copyright (C) 2008 John Wiley & Sons, Ltd.
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页码：907 / 922
页数：16
相关论文
共 87 条
[1]  
[Anonymous], 2005, Adv Vib Eng
[2]   SOME ASPECTS IN THE CALCULATION OF TRANSVERSE-SHEAR STRESSES IN MINDLIN PLATES [J].
CANISIUS, TDG ;
FOSCHI, RO .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (08) :681-685
[3]   FREE-VIBRATION OF SOME CIRCULAR PLATES OF ARBITRARY THICKNESS [J].
CELEP, Z .
JOURNAL OF SOUND AND VIBRATION, 1980, 70 (03) :379-388
[4]  
Chen CN, 2000, COMMUN NUMER METH EN, V16, P559, DOI 10.1002/1099-0887(200008)16:8<559::AID-CNM367>3.0.CO
[5]  
2-N
[6]   An efficient method for free vibration analysis of rotating truncated conical shells [J].
Civalek, Ö .
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 2006, 83 (01) :1-12
[7]   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
[8]   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
[9]   Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC) [J].
Civalek, Omer .
STRUCTURAL ENGINEERING AND MECHANICS, 2007, 25 (01) :127-130
[10]   Free vibration analysis of composite conical shells using the discrete singular convolution algorithm [J].
Civalek, Omer .
STEEL AND COMPOSITE STRUCTURES, 2006, 6 (04) :353-366
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