How to cite this paper
Torabi, K & Afshari, H. (2016). Exact solution for whirling analysis of axial-loaded Timoshenko rotor using basic functions.Engineering Solid Mechanics, 4(2), 97-108.
Refrences
Afshari, H., Irani M. & Torabi K. (2014). Free whirling analysis of multi-step Timoshenko rotor with multiple bearing using DQEM. Modares Mechanical Engineering, 14, 109-120 (In Persian).
Banerjee, J. R., & Su, H. (2006). Dynamic stiffness formulation and free vibration analysis of a spinning composite beam. Computers & Structures, 84(19), 1208-1214.
Behzad, M., & Bastami, A. R. (2004). Effect of centrifugal force on natural frequency of lateral vibration of rotating shafts. Journal of Sound and Vibration, 274(3), 985-995.
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(2), 249-259.
Edney, S. L., Fox, C. H. J., & Williams, E. J. (1990). Tapered Timoshenko finite elements for rotor dynamics analysis. Journal of sound and vibration, 137(3), 463-481.
Genta, G. (2007). Dynamics of rotating systems. Springer Science & Business Media.
Grybos, R. (1991). The effect of shear and rotary inertia of a rotor at its critical speeds. Archive of Applied Mechanics, 61(2), 104-109.
Hosseini, S. A. A., & Khadem, S. E. (2009). Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia. Mechanism and Machine theory, 44(1), 272-288.
Hosseini, S. A. A., Zamanian, M., Shams, S., & Shooshtari, A. (2014). Vibration analysis of geometrically nonlinear spinning beams. Mechanism and Machine Theory, 78, 15-35.
Hutchinson, J. R. (2001). Shear coefficients for Timoshenko beam theory. Journal of Applied Mechanics, 68(1), 87-92.
Jun, O. S., & Kim, J. O. (1999). Free bending vibration of a multi-step rotor. Journal of Sound and Vibration, 224(4), 625-642.
Nelson, H. D. (1980). A finite rotating shaft element using Timoshenko beam theory. Journal of mechanical design, 102(4), 793-803.
Samaei, A. T., Aliha, M. R. M., & Mirsayar, M. M. (2015). Frequency analysis of a graphene sheet embedded in an elastic medium with consideration of small scale. Materials Physics and Mechanics, 22, 125-135.
Torabi, K., Afshari, H., & Heidari-Rarani, M. (2013a). Free vibration analysis of a non-uniform cantilever Timoshenko beam with multiple concentrated masses using DQEM. Engineering Solid Mechanics, 1(1), 9-20.
Torabi, K., Afshari, H., & Najafi, H. (2013b). Vibration Analysis of Multi-Step Bernoulli-Euler and Timoshenko Beams Carrying Concentrated Masses. Journal of Solid Mechanics, 5(4), 336-349.
Zu, J. W. Z., & Han, R. P. (1992). Natural frequencies and normal modes of a spinning Timoshenko beam with general boundary conditions. Journal of Applied Mechanics, 59(2S), S197-S204.
Banerjee, J. R., & Su, H. (2006). Dynamic stiffness formulation and free vibration analysis of a spinning composite beam. Computers & Structures, 84(19), 1208-1214.
Behzad, M., & Bastami, A. R. (2004). Effect of centrifugal force on natural frequency of lateral vibration of rotating shafts. Journal of Sound and Vibration, 274(3), 985-995.
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(2), 249-259.
Edney, S. L., Fox, C. H. J., & Williams, E. J. (1990). Tapered Timoshenko finite elements for rotor dynamics analysis. Journal of sound and vibration, 137(3), 463-481.
Genta, G. (2007). Dynamics of rotating systems. Springer Science & Business Media.
Grybos, R. (1991). The effect of shear and rotary inertia of a rotor at its critical speeds. Archive of Applied Mechanics, 61(2), 104-109.
Hosseini, S. A. A., & Khadem, S. E. (2009). Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia. Mechanism and Machine theory, 44(1), 272-288.
Hosseini, S. A. A., Zamanian, M., Shams, S., & Shooshtari, A. (2014). Vibration analysis of geometrically nonlinear spinning beams. Mechanism and Machine Theory, 78, 15-35.
Hutchinson, J. R. (2001). Shear coefficients for Timoshenko beam theory. Journal of Applied Mechanics, 68(1), 87-92.
Jun, O. S., & Kim, J. O. (1999). Free bending vibration of a multi-step rotor. Journal of Sound and Vibration, 224(4), 625-642.
Nelson, H. D. (1980). A finite rotating shaft element using Timoshenko beam theory. Journal of mechanical design, 102(4), 793-803.
Samaei, A. T., Aliha, M. R. M., & Mirsayar, M. M. (2015). Frequency analysis of a graphene sheet embedded in an elastic medium with consideration of small scale. Materials Physics and Mechanics, 22, 125-135.
Torabi, K., Afshari, H., & Heidari-Rarani, M. (2013a). Free vibration analysis of a non-uniform cantilever Timoshenko beam with multiple concentrated masses using DQEM. Engineering Solid Mechanics, 1(1), 9-20.
Torabi, K., Afshari, H., & Najafi, H. (2013b). Vibration Analysis of Multi-Step Bernoulli-Euler and Timoshenko Beams Carrying Concentrated Masses. Journal of Solid Mechanics, 5(4), 336-349.
Zu, J. W. Z., & Han, R. P. (1992). Natural frequencies and normal modes of a spinning Timoshenko beam with general boundary conditions. Journal of Applied Mechanics, 59(2S), S197-S204.