Abstract
A modeling method for the modal analysis of a multi-blade system undergoing rotational motion is presented in this paper. Blades are assumed as cantilever beams and the coupling stiffness which originates from the shroud flexibility is considered for the modeling. To obtain general conclusions from the numerical results, the equations of motion are transformed into a dimensionless form. Dimensionless parameters related to the angular speed, the hub radius, and the coupling stiffness are identified and the effects of the parameters on the modal characteristics of the system are investigated. It is shown that the coupling stiffness especially plays an important role to change the modal characteristics of the system. The range of critical angular speed is also obtained through the numerical analysis.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Southwell and F. Gough, The free transverse vibration of airscrew blades, British A. R. C. Reports and Memoranda 766 (1921).
M. Schilhansl, Bending frequency of a rotating cantilever beam, J. of Appl. Mech. Trans. Am. Soc. Mech. Engrs 25 (1958) 28–30.
A. Leissa, Vibration aspects of rotating turbomachinery blades, Applied Mechanics Reviews 34 (1981) 629–635.
J. Rao, Turbomachine blade vibration, Shock Vibration Digest 19 (1987) 3–10.
T. Kane, R. Ryan, and A. Banerjee, Dynamics of a cantilever beam attached to a moving base, Journal of Guidance, Control, and Dynamics 10(2) (1987) 139–151.
H. Yoo, R. Ryan, and R. Scott, Dynamics of flexible beams undergoing overall motions, Journal of Sound and vibration 181 (1995) 261–278.
H. Yoo and S. Shin, Vibration analysis of rotating cantilever beams, Journal of Sound and Vibration 212 (1998) 807–828.
M. Singh and D. Schiffer, Vibrational characteristics of packeted bladed discs, ASME Paper No. 82-DET-137 (1982).
M. Singh, J. Vargo, D. Schiffer and J. Dello, Safe diagram — A design reliability tool for turbine blading, Proceedings of the Seventeenth Turbomachinery Symposium Texas A&M Universiy (1988) 93–101.
T. Kane and D. Levinson, Dynamics: Theory and Applications, McGraw-Hill Book Co., New York, N. Y (1985).
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was recommended for publication in revised form by Associate Editor Seockhyun Kim
Ha Seong Lim graduated from Department of Mechanical Engineering at Hanyang University in 2006 and received his Master’s degree in 2008. He is currently a technical engineer in STX Offshore & Shipbuilding Company, Seoul, Korea.
Hong Hee Yoo graduated from the Department of Mechanical Design and Production Engineering at Seoul National University in 1980 and received his Master’s degree from the same department in 1982. He received his Ph.D. degree in 1989 from the Department of Mechanical Engineering and Applied Mechanics at the University of Michigan at Ann Arbor, U.S.A. He is currently a professor in the School of Mechanical Engineering in Hanyang University, Seoul, Korea.
Rights and permissions
About this article
Cite this article
Lim, H.S., Yoo, H.H. Modal analysis of a multi-blade system undergoing rotational motion. J Mech Sci Technol 23, 2051–2058 (2009). https://doi.org/10.1007/s12206-009-0431-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-009-0431-3