Longitudinal-Torsional and Two Plane Transverse Vibrations of a Composite Timoshenko Rotor

Subject Areas : Engineering

M Irani Rahagi ¹ (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
A Mohebbi ² (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
H Afshari ³ (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)

Received: 2016-03-22 Accepted : 2016-05-18 Published : 2016-06-30

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References:

[1] Zu J., Hans R.P., 1992, Natural frequencies and normal modes of a spinning beam with general boundary conditions, Journal of Applied Mechanics, Transactions ASME 59:197-204.
[2] Zu J., Melanson J., 1998, Natural frequencies and normal modes of for externally damped spinning Timoshenko beams with general boundary conditions, Journal of Applied Mechanics, Transactions ASME 65:770-772.
[3] Dos Reis H. L. M., Goldman R. B., Verstrate P. H., 1987, Thin-walled laminated composite cylindrical tubes—part III: critical speed analysis, Journal of Composites Technology and Research 9(2):58-62.
[4] Gupta K., Singh S. E., 1996, Dynamics of composite rotors, Proceedings of the Indo-US Symposium on Emerging Trends in Vibration and Noise Engineering, New Delhi, India.
[5] Bert C.W., 1992, The effects of bending twisting coupling on the critical speed of drive shafts, Composite Materials, 6th Japan/US Conference, Orlando Lancaster.
[6] Kim C.D., Bert C.W., 1993, Critical speed analysis of laminated composite, hollow drive shafts, Composites Engineering 3:633-643.
[7] Banerjee J.R., Su H., 2006, Dynamic stiffness formulation and free vibration analysis of a spinning composite beam, Computers and Structures 84: 1208-1214.
[8] Chang M.Y., Chen J.K., Chang C.Y., 2004, A simple spinning laminated composite shaft model, International Journal of Solids and Structures 41(4): 637-662.
[9] Boukhalfa A., Hadjoui A., 2010, Free vibration analysis of an embarked rotating composite shaft using the hp-version of the FEM, Latin American Journal of Solids and Structures 7: 105-141.
[10] Choi S.H., Pierre C., Ulsoy A.G., 1992, Consistent modeling of rotating Timoshenko shafts subject to axial loads, Journal of Vibration and Acoustics 114: 249-259.
[11] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: A review, Applied Mechanics Reviews 49: 1-28.
[12] Du H, Lim M.K., Lin N.R., 1994, Application of generalized differential quadrature method to structural problems, International Journal for Numerical Methods in Engineering 37:1881-1896.
[13] Sun J., Ruzicka M., 2006, A calculation method of hollow circular composite beam under general loadings, Bulletin of Applied Mechanics 3(12): 105-114.
[14] Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton, FL.