References:

<HIDE>

[1]Abduljabbar, Z., ElMadany, M.M., AlAbdulwahab, A.A., 1996. Active vibration control of a flexible rotor. Computers and Structures, 58(3):499-511.

[2]Adhikari, S., 1999. Modal analysis of linear asymmetric non-conservative systems. Journal of Engineering Mechanics, 125(12):1372-1379.

[3]Adhikari, S., 2000. On symmetrizable systems of second kind. ASME Journal of Applied Mechanics, 67(4):797-802.

[4]Bathe, K.J., 1996. Finite Element Procedures. Prentice-Hall Inc., New Jersey, p.768-784.

[5]Carrella, A., Friswell, M.I., Zotov, A., Ewins, D.J., Tichonov, A., 2009. Using nonlinear springs to reduce the whirling of a rotating shaft. Mechanical Systems and Signal Processing, 23(7):2228-2235.

[6]Das, A.S., Nighil, M.C., Dutt, J.K., Irretier, H., 2008. Vibration control and stability analysis of rotor-shaft system with electromagnetic exciters. Mechanism and Machine Theory, 43(10):1295-1316.

[7]Friswell, M.I., Dutt, J.K., Adhikari, S., Lees, A.W., 2010. Time domain analysis of a viscoelastic rotor using internal variable models. International Journal of Mechanical Sciences, 52(10):1319-1324.

[8]Garadin, M., Kill, N., 1983. A new approach to finite element modeling of flexible rotors. Engineering Computations, 1(1):52-64.

[9]Chiang, H.W.D., Hsu, C.N., Jeng, W., 2002. Turbomachinery Dual Rotor-Bearing System Analysis. ASME Turbo Expo 2002: Power for Land, Sea, and Air, Amsterdam, the Netherlands, p.803-810.

[10]Jei, Y.G., Lee, C.W., 1988. Finite element model of asymmetrical rotor-bearing systems. Journal of Mechanical Science and Technology, 2(2):116-124.

[11]Lalanne, M., Ferraris, G., 1990. Rotor Dynamics Prediction in Engineering. Wiley, New York, p.77-116.

[12]Lee, A.S., Ha, J.W., Choi, D.H., 2003. Coupled lateral and torsional vibration characteristics of a speed increasing geared rotor-bearing system. Journal of Sound and Vibration, 263(4):725-742.

[13]Nelson, H.D., 1980. A finite rotating shaft element using Timoshenko beam theory. ASME Journal of Mechanical Design, 102(4):793-803.

[14]Nelson, H.D., Mc-Vaugh, J.M., 1976. The dynamics of rotor-bearing systems using finite elements. ASME Journal of Engineering for Industry, 98(2):593-600.

[15]Newmark, N.M., 1959. A method of computation for structural dynamics. ASCE Journal of Engineering Mechanics, 85(3):67-94.

[16]Rajan, M., Nelson, H.D., Chen, W.J., 1986. Parameter sensitivity in the dynamics of rotor-bearing systems. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 108(2):197-206.

[17]Rao, J.S., 1996. Rotor Dynamics (3rd Ed.). New Age International Publishers, London, p.69-106.

[18]Rao, J.S., Shiau, T.N., Chang, J.R., 1998. Theoretical analysis of lateral response due to torsional excitation of geared rotors. Mechanism and Machine Theory, 33(6):761-783.

[19]Shiau, T.N., Rao, J.S., Chang, J.R., Choi, S.T., 1999. Dynamic behavior of geared rotors. ASME Journal of Engineering for Gas Turbines and Power, 121(3):494-503.

[20]Zhong, Y.E., 1987. Rotor Dynamics. Tsinghua University Press, Beijing, China, p.176-195 (in Chinese).