A refined higher order finite element for asymmetric composite beams

作者: M.V.V.S. Murthy , D. Roy Mahapatra , K. Badarinarayana , S. Gopalakrishnan

DOI: 10.1016/J.COMPSTRUCT.2004.01.005

关键词:

摘要: A refined 2-node, 4 DOF/node beam element is derived based on higher order shear deformation theory for axial–flexural-shear coupled in asymmetrically stacked laminated composite beams. The has an exact shape function matrix, which by satisfying the static part of governing equations motion, where a general ply-stacking considered. This makes super-convergent analysis. numerical results are validated considering uniformly distributed load with various boundary conditions. Subsequently, efficiency free vibration analysis studied. Numerical examples showing nature interlaminar stresses configurations and conditions demonstrated. Also, parametric studies performed to study effect coupling stiffness natural frequencies. Based these studies,number observations drawn.

参考文章(19)
J. N. Reddy, On the Generalization of Displacement-Based Laminate Theories Applied Mechanics Reviews. ,vol. 42, pp. S213- S222 ,(1989) , 10.1115/1.3152393
M. Levinson, A new rectangular beam theory Journal of Sound and Vibration. ,vol. 74, pp. 81- 87 ,(1981) , 10.1016/0022-460X(81)90493-4
P.R. Heyliger, J.N. Reddy, A higher order beam finite element for bending and vibration problems Journal of Sound and Vibration. ,vol. 126, pp. 309- 326 ,(1988) , 10.1016/0022-460X(88)90244-1
T. Kant, B.S. Manjunatha, Higher-order theories for symmetric and unsymmetric fiber reinforced composite beams with C 0 finite elements Finite Elements in Analysis and Design. ,vol. 6, pp. 303- 320 ,(1990) , 10.1016/0168-874X(90)90022-7
A.A. Khdeir, J.N. Reddy, An exact solution for the bending of thin and thick cross-ply laminated beams Composite Structures. ,vol. 37, pp. 195- 203 ,(1997) , 10.1016/S0263-8223(97)80012-8
P.Constance Yang, Charles H. Norris, Yehuda Stavsky, Elastic wave propagation in heterogeneous plates International Journal of Solids and Structures. ,vol. 2, pp. 665- 684 ,(1966) , 10.1016/0020-7683(66)90045-X
A. Chakraborty, D. Roy Mahapatra, S. Gopalakrishnan, Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities Composite Structures. ,vol. 55, pp. 23- 36 ,(2002) , 10.1016/S0263-8223(01)00130-1
A. Tessler, E. Saether, T. Tsui, Vibration of thick laminated composite plates Journal of Sound and Vibration. ,vol. 179, pp. 475- 498 ,(1995) , 10.1006/JSVI.1995.0031