COMPARISON OF LAGRANGIAN AND SERENDIPITY MINDLIN PLATE ELEMENTS FOR FREE-VIBRATION ANALYSIS

被引：45
作者：
HINTON, E
BICANIC, N
机构：
来源：
COMPUTERS & STRUCTURES | 1979年 / 10卷 / 03期
关键词：
D O I：
10.1016/0045-7949(79)90023-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The performance of five Lagrangian and Serendipity (4,8,9,12 and 16 noded) isoparametric elements in the free vibration finite analysis of Mindlin plates is evaluated. The results are compared with well established analytical and numerical solutions based on Mindlin's thick plate theory and three dimensional elasticity solutions. © 1979.
引用
收藏
页码：483 / 493
页数：11
相关论文
共 25 条
[1]  
Timoshenko, Woinowsky-Krieger, Theory of Plates and Shells, (1959)
[2]  
Leissa, Vibration of Plates, (1969)
[3]  
Mindlin, Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates, J. Appl. Mech., 18, pp. 31-38, (1957)
[4]  
Mindlin, Schacknow, Deresiewica, Flexural vibrations of rectangular plates, Trans. ASME 78, E (1), 23, pp. 431-436, (1966)
[5]  
Cassell, Hobbs, Dynamic Relaxation, High Speed Computing of elastic structures, Proc. IUTAM Symp., (1971)
[6]  
Benson, Hinton, A thick Finite Strip solution for static free vibration and stability problems, International Journal for Numerical Methods in Engineering, 3, pp. 25-33, (1971)
[7]  
Hinton, Razzaque, Zienkiewicz, Davies, A simple finite element solution for plates of homogenous, sandwich and cellular construction, Proc. Inst. Civil Engng, 59, pp. 43-65, (1975)
[8]  
Rock, Hinton, A finite element method for the free vibration of plates allowing for transverse shear deformation, Comput. Structures, 6, pp. 37-44, (1976)
[9]  
Pugh, Hinton, Zienkiewicz, A study of quadrilateral plate bending elements with “reduced” integration, Int. J. Num. Meth. Engng, 12, pp. 1059-1079, (1978)
[10]  
Hughes, Taylor, Kanoknukulchai, A simple and efficient finite element for bending, Int. J. Num. Meth. Engng, 11, pp. 1529-1543, (1977)
123