Dynamic stability of a rotating asymmetric cross-section blade subjected to an axial periodic force

International Journal of Mechanical Sciences

Volumn 45, Issue 9, 2003, Pages 1467-1482

  Şakar, Gürkan ^a   Sabuncu, Mustafa ^a  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

Author keywords

Asymmetric; Buckling; Dynamic stability; Finite element; Rotating

Indexed keywords

BENDING (DEFORMATION); BUCKLING; DIFFERENTIAL EQUATIONS; ELASTIC MODULI; FINITE ELEMENT METHOD; LOADS (FORCES); ROTATING MACHINERY; STABILITY; STIFFNESS; STIFFNESS MATRIX; VIBRATIONS (MECHANICAL);

ASYMMETRIC CROSS-SECTION; DYNAMIC STABILITY; ROTATING BLADES;

TURBOMACHINE BLADES;

EID: 0942266766     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2003.10.006     Document Type: Article

References (30)

1. Bolotin V.V. The dynamic stability of elastic systems. 1964;Holden-Day, San Francisco, CA.
2. Carnegie W. Vibration of pretwisted cantilever blading. Proceedings of the Institution of Mechanical Engineers 1959; 173(12):343-74.
3. Carnegie W, Dawson B. Vibration characteristics of straight blades of asymmetrical aerofoil cross-section. The Aeronautical Quarterly May 1963. p. 178.
4. Carnegie W, Dawson B. Vibration characteristics of pre-twisted blades of asymmetrical aerofoil cross-section. The Aeronautical Quarterly August 1971. p. 257-73.
5. Carnegie W. Vibration of rotating cantilever blading. theoretical approaches to the frequency problem based on energy methods Institution of Mechanical Engineering Science. 1(3):1959;235-240.
6. Thomas J, Sabuncu M. Finite element analysis of rotating pretwisted asymmetric cross-section blades. ASME Design Engineering Technical Conference, St. Louis, MO, 1979;79-DET-95:1-12.
7. Fu C.C. Computer analysis of a rotating axial-turbo machine blade in coupled bending-bending-torsion vibrations. International Journal for Numerical Methods in Engineering. 8:1974;569-588.
8. Subrahmanyam K.B., Kulkarni S.V., Rao J.S. Coupled bending-bending torsion vibrations of rotating blades of asymmetric aerofoil cross section with allowance for shear deflection and rotary inertia by use of the reissner method. Journal of Sound and Vibration. 75(1):1981;17-36.
9. Karadaǧ V. Finite element dynamic analysis of blade shear center effects on practical bladed disks. Journal of Sound Vibration. 94(2):1984;183-197.
10. Steinman D.A., Cleghorn W.L., Tabarrok B. Exact solution for the free vibrations of axially-loaded pretwisted rods. International Journal of Mechanical Science. 37(1):1995;21-30.
11. Chazly E.N.M. Static and dynamic analysis of wind turbine blades using the finite element method. Computers and Structures. 48(2):1993;273-290.
12. Choi S.T., Chou Y.T. Vibration analysis of elastically supported turbo machinery blades by the modified differential quadrature method. Journal of Sound Vibration. 240(5):2001;937-953.
13. Rao S.S., Gupta R.S. Finite element vibration analysis of rotating Timoshenko beams. Journal of Sound and Vibration. 242(1):2001;103-124.
14. Thomas J, Abbas BAH. Dynamic stability of Timoshenko beams by finite element method. Journal of Engineering for Industry 1976;98:1145-51.
15. Abbas B.A.H. Dynamic stability of rotating Timoshenko beam with a flexible root. Journal of Sound and Vibration. 108(1):1986;25-32.
16. Yokoyama T. Parametric instability of Timoshenko beams resting on an elastic foundation. Computers and Structures. 28(2):1988;207-216.
17. Chen L.W., Shen G.S. Dynamic stability of cracked rotating beams of general orthotropy. Composite Structures. 37:1997;165-172.
18. Chen L.W., Ku D.M. Dynamic stability of a rotating shaft by the finite element method. Journal of Sound and Vibration. 143(1):1990;143-151.
19. Chen L.W., Peng W.K. Dynamic stability of rotating blades with geometric non-linearity. Journal of Sound and Vibration. 187(3):1995;421-433.
20. Briseghalla L., Majorana C.E., Pellegrino C. Dynamic stability of elastic structures. a finite element approach Computers and Structures. 69:1998;11-25.
21. Lee H.P. Effects of initial curvature on the dynamic stability of a beam with tip mass subjected to axial pulsating loads. International Journal of Solids and Structures. 32(23):1995;3377-3392.
22. Kar R.C. Stability of a rotating pretwisted non-uniform cantilever with a tip mass subjected to dissipative and follower forces. Computers and Structures. 22(2):1986;115-122.
23. Celep Z. Dynamic stability of pretwisted columns under periodic axial loads. Journal of Sound and Vibration. 103(1):1985;35-42.
24. Chen L.W., Chern H.K. The vibrations of pretwisted rotating beams of general orthotropy. Journal of Sound and Vibration. 197(3):1993;529-539.
25. Lee H.P. Buckling and dynamic stability of spinning pretwisted beams under compressive axial loads. International Journal of Mechanical Science. 36(11):1994;1011-1026.
26. Gürgüze M. On the dynamic stability of a pretwisted beam subjected to pulsating axial load. Journal of Sound and Vibration. 102(3):1985;415-422.
27. Liao C.L., Huang B.W. Parametric instability of a spinning pretwisted beam under periodic axial force. International Journal of Mechanical Science. 37(4):1995;423-439.
28. Tan T.H., Lee H.P., Leng G.S.B. Dynamic stability of a radially rotating beam subjected to base excitation. Computer Methods in Applied Mechanics and Engineering. 146:1997;265-279.
29. Kim J.H., Choo Y.S. Dynamic stability of a free-free Timoshenko beam subjected to a pulsating follower force. Journal of Sound and Vibration. 216(4):1998;623-636.
30. Timoshenko S.P., Gere J.M. Theory of elastic stability. 2nd ed:1961;McGraw-Hill, New York.