TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Reduced-Order Nonlinear Dynamic Model of Coupled Shaft-Torsional and Blade-Bending Vibrations in Rotors

[+] Author and Article Information
B. O. Al-Bedoor

Mechanical Engineering Department, King Fahd University of Petroleum & Minerals, KFUPM Box 841, Dhahran 31261, Saudi Arabia

J. Eng. Gas Turbines Power 123(1), 82-88 (May 16, 2000) (7 pages) doi:10.1115/1.1341203 History: Received April 28, 2000; Revised May 16, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Shilahansi,  L., 1958, “Bending Frequencies of a Rotating Cantilever Beam,” ASME J. Appl. Mech., 25, pp. 28–30.
Pruelli,  D., 1972, “Natural Bending Frequency Comparable to Rotational Frequency in Rotating Cantilever Beam,” ASME J. Appl. Mech., 39, pp. 602–604.
Likins,  P. W., Barbera,  F. J., and Baddeley,  V., 1973, “Mathematical Modeling of Spinning Elastic Bodies,” AIAA J., 11, No. 9, pp. 1251–1258.
Kaza,  K., and Kvaternik,  R., 1977, “Nonlinear Flap-Lag-Axial Equations of a Rotating Beam,” AIAA J., 15, No. 6, pp. 871–874.
Yokoyama,  T., 1988, “Free Vibration Characteristics of Rotating Timoshenko Beams,” Int. J. Mech. Sci., 30, No. 10, pp. 743–755.
Al-Bedoor,  B. O., and Khulief,  Y., 1997, “General Planar Dynamics of a Sliding Flexible Link,” J. Sound Vib., 206, No. 5, pp. 641–661.
Srinivasan,  A. V., 1984, “Vibrations of Bladed-Disk Assemblies: A Selected Survey,” ASME J. Vibr. Acoust., 106, pp. 165–168.
Crawley,  E., and Mokadam,  D., 1984, “Stager Angle Dependence of the Inertial and the Elastic Coupling in Bladed Disks,” ASME J. Vibr. Acoust., 106, pp. 181–188.
Tang,  D., and Wang,  M., 1984, “Coupling Technique of Rotor-Fuselage Dynamic Analysis,” ASME J. Vibr. Acoust., 106, pp. 235–238.
Loewy,  R. G., and Khader,  N., 1984, “Structural Dynamics of Rotating Bladed-Disk Assemblies Coupled With Flexible Shaft Motions,” AIAA J., 22, No. 9, pp. 1319–1327.
Crawley,  E. F., Ducharme,  E., and Mokadam,  D., 1986, “Analytical and Experimental Investigation of the Coupled Bladed Disk Shaft Whirl of a Cantilever Turbofan,” ASME J. Eng. Gas Turbines Power, 108, pp. 567–576.
Okabe,  A., Otawara,  Y., Kaneko,  R., Matsushita,  O., and Namura,  K., 1991, “An Equivalent Reduced Modeling Method and Its Application to Shaft-Blade Coupled Torsional Vibration Analysis of a Turbine-Generator Set,” Proc. Inst. Mech. Eng., 205, pp. 173–181.
Huang,  S. C., and Ho,  K. B., 1996, “Coupled Shaft-Torsion and Blade-Bending Vibrations of a Rotating Shaft-Blade Unit,” ASME J. Eng. Gas Turbines Power, 118, pp. 100–106.
Al-Bedoor,  B. O., 1998, “Vibrations of a Rotating Blade With Flexible Coupling in the Drive System,” ASME Pressure Vessels Piping, PVP, 368, pp. 69–76.
Szabelski,  K., and Warminski,  J., 1995, “Parametric Self-Excited Nonlinear System Vibration Analysis With Inertial Excitation,” Int. J. Nonlinear Mech., 30, No. 2, pp. 179–189.


Grahic Jump Location
Schematic diagram of blade-disk-shaft system
Grahic Jump Location
System deformed configuration and coordinate system
Grahic Jump Location
Motor torque to rotate the system to a speed of 1000 RPM in 1 sec
Grahic Jump Location
(a) Blade deflection and (b) frequency spectrum
Grahic Jump Location
Coupling torsional deflection
Grahic Jump Location
Blade first bending mode vibrations
Grahic Jump Location
Blade second bending mode vibrations
Grahic Jump Location
Blade third bending mode vibrations
Grahic Jump Location
Blade fourth bending mode vibrations
Grahic Jump Location
Blade fifth bending mode vibrations




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In