References
- Abarcar, R.B., Cunniff, P.F. 'The vibration of cantilever beams of fiber reinforced material,' Journal of Composite Materials, Vol.b6, pp. 504-517, 1972 https://doi.org/10.1177/002199837200600306
- Chandrashekhara, K, Krishanamurthy, K., Roy, S. 'Free vibration of composite beams including rotatory inertia and shear deformation,' Composite Structures, Vol. 14, pp. 269-279, 1990 https://doi.org/10.1016/0263-8223(90)90010-C
- Abramovich, H., 'Shear deformation and rotatory inertia effects of vibrating composite beams,' Composite Structures, Vol. 20, pp. 165-173,1992 https://doi.org/10.1016/0263-8223(92)90023-6
- Yildirim, V., 'Rotary inertia, axial and shear deformation effects on the in-plane natural frequencies of symmetric cross-ply laminated circular arches,' Journal of Sound and Vibration, Vol. 224, No. 4, pp. 575-589, 1999 https://doi.org/10.1006/jsvi.1999.2201
- Banerjee, J.R., Williams, F.W., 'Exact dynamics stiffness matrix for composite Timoshenko beams with applications,' Journal of Sound and Vibration, Vol. 194, No. 4, 573-585, 1996 https://doi.org/10.1006/jsvi.1996.0378
- Bishop, R.E.D., Cannon, S.M., Miao, S., 'On coupled bending and torsional vibration of uniform beams,' Journal of Sound and Vibration, Vol. 131, pp. 457-464, 1989 https://doi.org/10.1016/0022-460X(89)91005-5
- Dokumaci, E.,'An exact solution for coupled bending and torsion vibrations of uniform beams having single cross-sectional symmetry,' Journal of Sound and Vibration, Vol. 119, pp. 443-449, 1987 https://doi.org/10.1016/0022-460X(87)90408-1
- Banerjee, J.R., Williams, F.W., 'Coupled bending torsional dynamic stiffness matrix for beam elements,' International Journal of Numerical Methods in Engineering, Vol. 28, pp. 1283-1298, 1989 https://doi.org/10.1002/nme.1620280605
- Banerjee, J.R., Guo, S, Howson, W.P., 'Exact dynamic stiffness matrix of a bending-torsional coupled beam including warping,' Computers & Structures, Vol. 59, No. 4, pp. 613-621, 1992 https://doi.org/10.1016/0045-7949(95)00307-X
- Hong, S.W., Kim, J.W., 'Modal analysis of multispan Timoshenko beams connected or supported by resilient joints with damping,' Journal of Sound and Vibration, Vol. 227, No. 4, pp. 787-806, 1999 https://doi.org/10.1006/jsvi.1999.2385
- Hong, S.W., Kim, J.W., Park, J.H., 'A method for determining exact modal parameters of non-uniform, continuous beam structures with damping elements,' Journal of Korean Society of Precision Engineering, Vol. 15, No. 12, pp. 202-211, 1989
- Hong, S.W., Park, J.H., 'Modal analysis of multistepped distributed-parameter rotor-bearing systems using exact dynamic elements,' Trans. ASME, Journal of Vibration and Acoustics Vol. 123, pp. 401-403, 2001 https://doi.org/10.1115/1.1376123
- Matlab Reference Guide, The Math Works Inc., 2000