Dynamic analysis of a rig shafting vibration based on finite element

Abstract

In recently, finite elements method (FEM) has been used most popular for analysis of stress, vibration, heat flow and many other phenomena. Taking a rig shafting as an example, this paper studies the lateral vibration of the rig shafting with multi-degree-of-freedom by using FEM. The FEM model is created and the eigenvalues and eigenvectors are calculated and analyzed to find natural frequencies, critical speeds, mode shapes and unbalance responses. Then critical and mode shapes are determined. Finally, responses of unbalance force are analyzed in case of undamped and damped system, and peaks of response are compared.

Keywords

Finite element method (FEM) / lateral vibration / rig shafting / rotor-bearing system / dynamic characteristics

References

[1] Gash, R.Vibration of Large Turbo-Rotor in Fluid-Film bearing on Elastic Foundation. Journal of Sound and Vibration, 1976, 47(1): 53–73

[2] Nelson H D, McVaugh J M . The dynamic of rotor-bearing systems using finite elements. Journal of Engineering for Industry, 1976, 98(2): 593-599

[3] Hashish E, Sankar T S.Finite Element and Modal Analysis of Rotor-bearing system Under Stochastic Loading Condition. Journal of Vibration and Acoustics, 1984, 106 (1): 80–89

[4] Jie Y. Lee C. Finite Element Modal of Asymmetrical Rotor-Bearing systems. KSME Journal, 1988, 2 (2),116–124

[5] Ruhl R, Booker J F. A Finite Element Model for Distribute Parameter Turbo Rotor System. ASME journal of Engineering for Industry, 1972, 94,126–132

[6] Friswell M I, Penny J E T, Garvey S D, Lees A W. Dynamics of Rotating Machines. New York, Cambridge University Press, 2010

[7] Genta G, Dynamics of rotating systems, New York, Springer, 2005

[8] Xie D, Liu Z, Zhang H, Yang Z, Dong C , Sensitivity analysis of torsional vibration behavior of the shafting of a turbo-generator set to changes of its mechanical parameters, Frontiers of Energy Power Engineering in China2007, 1(4): 483–486

[9] Genta G. Vibration Dynamics and Control. New York, Springer, 2009

[10] Adam M L Jr. Rotating Machinery Vibration. Boca Raton, FL, CRC press, 2010

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg