Vibrations of elastically restrained nonuniform beams with arbitrary pretwist

AIAA Journal

Volumn 35, Issue 11, 1997, Pages 1681-1687

  Lin, Shueei Muh ^a,b  

^a KUNG SHAN INSTITUTE OF TECHNOLOGY   (Taiwan)

^b Mechanical Engineering Department   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001716420     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.22     Document Type: Article

References (18)

1. Rosen, A., "Structural and Dynamic Behavior of Pretwisted Rods and Beams," Applied Mechanics Review, Vol. 44, No. 12, 1991, pp. 483-515.
2. Rosard, D. D., and Lester, P. A., "Natural Frequencies of Twisted Cantilever Beams," Journal of Applied Mechanics, Vol. 20, June 1953, pp. 241-244.
3. Rao, J. S., and Carnegie, W., "A Numerical Procedure for the Determination of the Frequencies and Mode Shapes of Lateral Vibration of Blades Allowing for the Effect of Pre-Twist and Rotation," International Journal of Mechanical Engineering Education, Vol. 1, No. 1, 1973, pp. 37-47.
4. Dawson, B., "Coupled Bending Vibrations of Pretwisted Cantilever Blading Treated by Rayleigh-Ritz Method," Journal of Mechanical Engineering Science, Vol. 10, No. 5, 1968, pp. 381-386.
5. Dawson, B., and Carnegie, W., "Modal Curves of Pre-Twisted Beams of Rectangular Cross-Section," Journal of Mechanical Engineering Science, Vol. 11, No. 1, 1969, pp. 1-13.
6. Carnegie, W., and Thomas, J., "The Coupled Bending-Bending Vibration of Pre-Twisted Tapered Blading," Journal of Engineering Industry, Vol. 94, Feb. 1972, pp. 255-266.
7. Rao, J. S., "Flexural Vibration of Pretwisted Tapered Cantilever Blades," Journal of Engineering Industry, Vol. 94, Feb. 1972, pp. 343-346.
8. Rao, J. S., "Coupled Vibrations of Turbomachine Blading," Shock and Vibration Bulletin, Vol. 47, Pt. 2, 1977, pp. 107-125.
9. Rao, J. S., Advanced Theory of Vibration, Wiley, New York, 1992, pp. 330-338.
10. Sabuncu, M., "Coupled Vibration Analysis of Blades with Angular Pretwist of Cubic Distribution," AIAA Journal, Vol. 23, No. 9, 1985, pp. 1424-1430.
11. Carnegie, W., "Vibrations of Pretwisted Cantilever Blading," Proceeding of the Institution of Mechanical Engineers, Vol. 173, London, 1959, pp. 343-346.
12. Gupta, R. S., and J. S. Rao, J. S., "Finite Element Eigenvalue Analysis of Tapered and Twisted Timoshenko Beams," Journal of Sound and Vibration, Vol. 56, No. 2, 1978, pp. 187-200.
13. Abbas, B., "Simple Finite Elements for Dynamic Analysis of Thick Pre-Twisted Blades," Aeronautical Journal, Vol. 83, Nov. 1979, pp. 450-453.
14. Subrahmanyam, K. B., Kulkarni, S. V., and Rao, J. S., "Coupled Bending-Bending Vibrations of Pretwisted Cantilever Blading Allowing for Shear Deflection and Rotary Inertia by the Reissner Method," International Journal of Mechanical Science, Vol. 23, No. 9, 1981, pp. 517-530.
15. Subrahmanyam, K. B., and Rao, J. S., "Coupled Bending-Bending Cantilever Beams Treated by the Reissner Method," Journal of Sound and Vibration, Vol. 82, No. 4, 1982, pp. 577-592.
16. Celep, Z., and Turhan, D., "On the Influence of Pretwisting on the Vibration of Beams Including the Shear and Rotatory Inertia Effects," Journal of Sound and Vibration, Vol. 110, No. 3, 1986, pp. 523-528.
17. Meirovitch, L., Analytical Methods in Vibrations, Macmillan, New York, 1967, pp. 257-262.
18. Paz, M., Structural Dynamics: Theory and Computation, V. Nostrand, Princeton, NJ, 1980, pp. 240, 241.