Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-21T18:34:33.900Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling and vibration of composite thin-walled rotating blades featuring extension-twist elastic coupling

Published online by Cambridge University Press:  03 February 2016

S-Y. Oh ,
L. Librescu  and
O. Song
S-Y. Oh
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA
L. Librescu
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA
O. Song
Affiliation:
Department of Mechanical Engineering, Chungnam National University, Daejon City, South Korea
Get access Rights & Permissions [Opens in a new window]

Abstract

The modelling and vibration of composite thin-walled pre-twisted rotating blades of non-uniform cross-sections along their span, and featuring the extension-twist elastic coupling are addressed. To this end, Hamilton’s principle is used to derive the equations of motion and the associated boundary conditions. In addition to the pretwist and warping restraint, the exotic properties of advanced composite material are used, and the efficiency of implementing the tailoring technique toward the enhancement, without weight penalties, of the vibratory behaviour of rotating blades is illustrated. Comparisons between the predictions by both Wagner’s and Washizu’s approaches are presented, and pertinent conclusions regarding the implications of the various geometrical and physical characteristics of the blade are outlined.

Type
Research Article
Information
The Aeronautical Journal , Volume 109 , Issue 1095 , May 2005 , pp. 233 - 246
Copyright
Copyright © Royal Aeronautical Society 2005 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Kunz, D.L.. Survey and comparison of engineering beam theories for helicopter rotor blades, J Aircr, 1994, 31, (3), pp 473–479.Google Scholar
2. Jung, S.N., Nagaraj, V.T. and Chopra, I.. Assessment of composite rotor blade: modeling techniques, J American Helicopter Soc, 1999, 44, (3), pp 188–205.Google Scholar
3. Houbolt, J.C. and Brooks, G.W.. Differential equations of motion for combined flapwise bending, Chordwise bending, and torsion of twisted nonuniform rotor blades, 1958, NASA TR 1364.Google Scholar
4. Hodges, D.H.. Torsion of pretwisted beams due to axial loading, ASME J Appl Mech, 1980, 50, pp 393–397.Google Scholar
5. Rosen, A.. The effect of initial twist on the torsional rigidity of beams-another point of view, ASME J Appl Mech, 1980, 47, pp 389–393.Google Scholar
6. Kosmatka, J.B.. Extension, bending and torsion of anisotropic beams with initial twist, 1989, AIAA Paper No. 89-1364, pp 1799–1806, Proceedings of the 30th Structures, Structural Dynamics and Materials Conference, 3-5 April 1989, Mobile, AL.Google Scholar
7. Kaza, K.B. and Kielb, R.E.. Effects of warping and pretwist on torsional vibration of rotating beams, ASME J Appl Mech, December 1984, 51, pp 913–920.Google Scholar
8. Subrahmanyam, K.B. and Kaza, K.R.V.. Finite difference analysis of torsionally vibrations of pretwisted, rotating, cantilever beams with effects of warping, J Sound and Vibration, 1985, 99, (2), pp 213–224.Google Scholar
9. McGee, O.G.. Influence of warping-pretwist coupling on the torsional vibration of centrifigally-stressed cantilevers, with thin-walled open beams, Computers & Structures, 1992, 42, (2), pp 175–195.Google Scholar
10. Rosen, A.. Structural and dynamic behavior of pretwisted rods and beams, Appl Mechanics Reviews, 1991, 44, (12), Part 1, pp 483–515.Google Scholar
11. Bauchau, O.A., Lowey, R.G. and Bryan, P.S. Approach to ideal twist distribution in tilt rotor VTOL blade designs, july 1986, RTC Report No D-86-2, Rensselaer Polytechnic Institute, Troy, NY.Google Scholar
12. Nixon, M.W. Extension-twist coupling of composite circular tubes with applied to tilt rotor blade design, 1987, AIAA Paper No 87-0772, pp 295–303, 28th Structure, Structural Dynamics and Materials Conference, 6-8 April 1987, Monterey, CA.Google Scholar
13. Nixon, M.W. Analytical and Experimental Investigations of Extension-Twist-coupled Structures, 1989, Masters thesis, George Washington University, Hampton, VA.Google Scholar
14. Rehfield, L.W. and Atilgan, A.R. Toward understanding the tailoring mechanisms for thin-walled composite tubular beams, 1989, Proceedings First USSR-USA Symposium on Mechanics of Composite Materials, Riga, Latvia, ASME, pp 23–26, New York, Tsai, S.W., Whitney, J.M., Chou, T.W. and Jones, R.M. (Eds).Google Scholar
15. Washizu, K.. Some considerations on a naturally curved and twisted slender beam, J Math and Physics, June 1964, 43, pp 111–116.Google Scholar
16. Song, O. and Librescu, L.. Structural modeling and free vibration analysis of rotating composite thin-walled beams, J American Helicopter Society, 1997, 42, (4), pp 358–369.Google Scholar
17. Song, O., Librescu, L. and Oh, S-Y.. Vibration of pretwisted adaptive rotating blades modeled as anisotropic thin-walled beams, AIAA J, February 2001, 39, (2), pp. 285–295.Google Scholar
18. Song, O. and Librescu, L.. Free vibration of anisotropic composite thin-walled beams of closed cross-section contour, J Sound and Vibration, 1993, 167, (1), pp 129–147.Google Scholar
19. Librescu, L. and Song, O.. On the static aeroelastic tailoring of composite aircraft swept wings modelled as thin-walled beam structures, Composites Engineering, 1992, 2, (5-7), (Special Issue: Use of composites in rotorcraft and smart structures,) pp 497–512.Google Scholar
20. Qin, Z. and Librescu, L.. Static and dynamic validations of a refined thin-walled composite beam model, AIAA J, 2001, 39, (12), pp 2422–2424.Google Scholar
21. Qin, Z. and Librescu, L.. On a shear-deformable theory of anisotropic thin-walled beams: further contribution and validations, Composite Structures, 2002, 56, (4), pp 345–358.Google Scholar
22. Librescu, L., Meirovitch, L. and Na, S.S.. Control of cantilevers vibration via structural tailoring and adaptive materials, AIAA J, August 1997, 35, (8), pp 1309–1315.Google Scholar
23. Nagaraj, V.T. and Sasu, N.. Torsional vibration of non-uniform rotating blades with attachment flexibility, J Sound and Vibration, 1992, 80, (3), pp 401–411.Google Scholar
24. Bauchau, O.A. and Hong, C.H.. Large displacement analysis of naturally curved and twisted composite beams, AIAA J, 25, (10), pp 1469–1475.Google Scholar