The effect of support parameters on the force transmissibility of a flexible rotor

Document Type : Research Paper


1 Assistant Professor

2 Mechanical Engineering, Beheshti University,Tehran, Iran


Rotating machinery support design with the aim of reducing the force transmitted to the foundation has significant importance regarding the various applications of these machineries. In this paper presents a rapid approximate method for calculating the optimum support flexibility and damping of flexible rotors to minimize force transmissibility in the vicinity of the rotor first critical speed. First, the governing equations for the Jeffcott rotor model mounted on flexible supports are derived and the optimal parameters for the supports have been analytically achieved. Next with consideration of the complexity and tedious of the analytic equations, a numerical algorithm for determination of the optimal support design parameters is introduced which may be applied to any rotor model regardless of the model complexity and number of degrees of freedom. The simulation results show the effect of optimal parameters on the considerable reduction of the force transmitted to the foundation. The method has the advantage of being quickly and easily applied and can reduce analysis time by eliminating a time consuming search for the approximate optimum damping using more exact methods.


[1]  Zilletti, Y., Elliott, S. J., and Rustighi, E., “Optimization of Dynamic Vibration Absorbers to Minimize Kinetic Energy and Maximize Internal Power Dissipation”, Journal of Sound and Vibration, Vol. 331, No. 18, pp. 4093-4100, (2012).
[2]  Das, A. S., Nighil, M. C., Dutt, J. K., and Irretier, H., “Vibration Control and Stability Analysis of Rotor-shaft System with Electromagnetic Exciters”, Mechanism and Machine Theory, Vol. 43, No. 10, pp. 1295-1316, (2008).
[3]  Kirk, R. G., and Alsaeed, A., “Experimental Test Results for Vibration of a High Speed Diesel Engine Turbocharger”, Tribology Transactions, Vol. 51, No. 4, pp. 422-427, (2008).
[4]  Vazquez, J. A., and Barrett, L. E., “A Flexible Rotor on Flexible Bearing Supports: Stability and Unbalance Response”, Journal of Vibration and Acoustics, Vol. 123, No. 2, pp. 137-144, (2001).
[5]  Cunningham, R. E., and Gunter, E. J., “Design of a Squeeze Film Damper for a Multi-mass Flexible Rotor”, Journal of Engineering for Industry, Vol. 97, No. 4, pp. 1383-1389, (1975).
[6]  Ishida, Y., and Inoue, T., “Vibration Suppression of Nonlinear Rotor Systems using a Dynamic Damper”, Journal of Vibration and Control, Vol. 13, No. 8, pp. 1127-1143, (2007).
[7]  Ma, Y., Zhang, Q., and Hong, J., “Tuning the Vibration of A Rotor with Shape Memory Alloy Metal Rubber Supports”, Journal of Sound and Vibration, Vol. 351, No. 1, pp. 1-16, (2015).
[8]  Ribeiro, E. A., Pereira, J. T., and Bavastri, C., “Passive Vibration Control in Rotor Dynamics: Optimization of Composed Support using Viscoelastic Materials”, Journal of Sound and Vibration, Vol. 351, No. 1, pp. 43-56, (2015).
[9]  Ahn, Y. K., and Kim, Y. H., “Optimal Design of Nonlinear Squeeze Film Damper using Hybrid Global Optimization Technique”, Journal of Mechanical Science and Technology, Vol. 20, No. 8, pp. 1125-1138, (2006).
[10] Nataraj, C., and Ashrafiuon, H., “Optimal Design of Centered Squeeze Film Dampers”, Journal of Vibration and Acoustics, Vol. 115, No. 2, pp. 210-215, (1993).
[11] El-Shafei, A., and Yakoub, R. Y. K., “Optimum Design of Squeeze Film Dampers Supporting Multiple-mode Rotors”, Journal of Engineering for Gas Turbines and Power, Vol. 124, No. 4, pp. 992-1002, (2002).
[12] Lin, Y., and Cheng, L., “Optimal Design of Complex Flexible Rotor-support Systems using Minimum Strain Energy under Multi-constraint Conditions”, Journal of Sound and Vibration, Vol. 215, No. 5, pp. 1121-1134, (1998).