Vibration Analysis of Complicated Rotor-Bearing System by Beam Element and Strain Energy Method

Abstract:

In this paper, a two-node beam element (as a simplified modeling approach) has been presented to investigate the vibration characteristic of rotor system with a complicated geometry. The decline of stiffness near the region of discontinuity is investigated on the basis of stain energy, and the conclusion is applied to the 2-node beam element analysis. In addition, the bending critical speeds and corresponding mode shapes of an integral rotor of 1000MW turbine have been investigated as an example. Verification results show that the simplified modeling approach by this 2-node beam element meets the accuracy requirement.

• Periodical: Advanced Materials Research (Volumes 712-715)
• Pages: 1414-1419
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.712-715.1414
• Online since: June 2013
• Authors: Wu Long*, Yuan Qi, Liu Xin
• Keywords: Finite Element Method (FEM), Rotordynamics, Stiffness Diameter, Strain Energy

References

[1] J.M. Vance, B. Murphy, F. Zeidan: Machinery Vibration and Rotordynamics (John Wiley & Sons Inc., New York 2010).

DOI: 10.1002/9780470903704

[2] G. Genta: Dynamic Modeling of Rotors: A Modal Approach (Springer, Netherlands 2011).

[3] J. Samuelsson: Rotor Dynamic Analysis of 3D-modeled Gas Turbinerotor in Ansys (Linköping University, Sweden 2009).

[4] H. Taplak, M. Parlak: Measurement. Vol. 45 (2012), pp.1089-1097.

[5] Lyn M. Greenhill, Valerie J. Lease, in: Additional Investigations into the Natural Frequencies and Critical Speeds of a Rotating, Flexible Shaft-disk System, ASME Conference Proceedings, 2007, pp.995-1003.

DOI: 10.1115/gt2007-28065

[6] J. Wu, M. Legrand, C. Pierre, in: Non-synchronous Vibration of a Jeffcott Rotor due to Internal Radial Clearance in Roller Bearings, The 8th IFTOMM international Conference on Rotor Dynamics, 2010, pp.446-453.

[7] Lin, X & Zhang, Y.X: Finite Elements in Analysis and Design. Vol. 47 (2011), p.676 – 682.

[8] Lin, X & Zhang, Y.X, in: A New One-dimensional Two-node Layered Composite Beam Element, IOP Conference Series: Materials Science and Engineering, 2010, pp.19-23.

DOI: 10.1088/1757-899x/10/1/012216

[9] Yu, WL Cleghorn: Journal of Applied Mechanics. Vol. 67 (2000), pp.839-841.

[10] S. D. Yu and V. Shah: ASME Transactions: Journal of Vibrations and Acoustics. Vol.130 (2008), pp.1-18.

[11] J. W. Jaworski, E. H. Dowell: Journal of Sound and Vibration. Vol. 312 (2008), pp.713-725.

[12] M. S. Darlow, B. T. Murphy, J. A. Elder: Journal of Mechanical Design. Vol. 102 (1980), pp.122-129.

[13] N. Popplewell, DaQing Chang: Journal of Sound and Vibration. Vol. 190 (1996), pp.852-856.

[14] N. Popplewell, D. Chang: Journal of Sound and Vibration. Vol. 203 (1997), pp.717-722.

[15] Wangfan Li, Danmei Xie, Yong Qian, etc, in: Calculation of Rotor's Torsional Vibration Characteristic Based on Equivalent Diameter of Stiffness, Power and Energy Engineering Conference (APPEEC), 2010 , pp.1-4.

DOI: 10.1109/appeec.2010.5449178

[16] R. G. Kirk, S. Baheti and K. Ramesh, in: Modeling of Rotor Shafting for Lower Mode Accuracy: Influence of Section L/D, Proceedings of the 1995 ASME Design Engineering Technical Conference, 1995, pp.957-965.

DOI: 10.1115/detc1995-0490

[17] Wang Chao, Wang Yanrong, Xu xingzhong: Journal of Power Engineering. Vol. 27 (2007), pp.840-844. ( in Chinese)