Aeroelastic Response of a Hingeless Rotor Blade in Hover
Publication: Journal of Aerospace Engineering
Volume 32, Issue 5
Abstract
In this paper, the aeroelastic response of a hingeless rotor blade in hover is investigated. The hingeless rotor blade was modeled by using the geometrically exact fully intrinsic beam equations combined with the quasi-steady aerodynamic loads and uniform inflow. The partial differential equations were discretized by using the time-space scheme. A particular blade with precone angles was considered, and the stability boundaries of this blade were determined. Then the aeroelastic response of the blade for stable and unstable regions was determined. It was found that the blade experiences different types of responses depending on the system parameters. A more comprehensive study is required to characterize the effective parameters and what type of response a blade may experience in the postaeroelastic instability region.
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References
Amoozgar, M., and H. Shahverdi. 2016a. “Dynamic instability of beams under tip follower forces using geometrically exact, fully intrinsic equations.” Lat. Am. J. Solids Struct. 13 (16): 3022–3038. https://doi.org/10.1590/1679-78253010.
Amoozgar, M. R., and H. Shahverdi. 2016b. “Analysis of nonlinear fully intrinsic equations of geometrically exact beams using generalized differential quadrature method.” Acta Mech. 227 (5): 1265–1277. https://doi.org/10.1007/s00707-015-1528-7.
Amoozgar, M. R., H. Shahverdi, and A. S. Nobari. 2017. “Aeroelastic stability of hingeless rotor blades in hover using fully intrinsic equations.” AIAA J. 55 (7): 2450–2460. https://doi.org/10.2514/1.J05507910.2514/1.J055079.
Amoozgar, M. R., A. D. Shaw, J. Zhang, and M. I. Friswell. 2018a. “Composite blade twist modification by using a moving mass and stiffness tailoring.” AIAA J. https://doi.org/10.2514/1.J057591.
Amoozgar, M. R., A. D. Shaw, J. Zhang, and M. I. Friswell, 2018b. “Twist morphing of a hingeless rotor blade using a moving mass.” In Proc., 44th European Rotorcraft Forum. Delft, Netherlands: Delft Univ.
Amoozgar, M. R., A. D. Shaw, J. Zhang, andM. I. Friswell. 2019. “The effect of a movable mass on the aeroelastic stability of composite hingeless rotor blades in hover.” J. Fluids Struct. 87 (May): 124–136. https://doi.org/10.1016/j.jfluidstructs.2019.03.017.
Bauchau, O. A., C. L. Bottasso, and Y. G. Nikishkov. 2001. “Modeling rotorcraft dynamics with finite element multibody procedures.” Math. Comput. Modell. 33 (10–11): 1113–1137. https://doi.org/10.1016/S0895-7177(00)00303-4.
Bauchau, O. A., and N. K. Kang. 1993. “A multibody formulation for helicopter structural dynamic analysis.” J. Am. Helicopter Soc. 38 (2): 3–14. https://doi.org/10.4050/JAHS.38.3.
Cho, M. H., and I. Lee. 1994. “Aeroelastic stability of hingeless rotor blade in hover using large deflection theory.” AIAA J. 32 (7): 1472–1477. https://doi.org/10.2514/3.1221710.2514/3.12217.
Friedmann, P. P. 1983. “Formulation and solution of rotary-wing aeroelastic stability and response problems.” Vertica 7 (2): 101–141.
Friedmann, P. P. 1990. “Helicopter rotor dynamics and aeroelasticity: Some key ideas and insights.” Vertica 14 (1): 101–121.
Fulton, M. V., and D. H. Hodges. 1993. “Aeroelastic stability of composite hingeless rotor blades in hover. Part II: Results.” Math. Comput. Modell. 18 (3): 19–35. https://doi.org/10.1016/0895-7177(93)90102-5.
Hodges, D. H. 1985. Nonlinear equations for the dynamics of pretwisted beams undergoing small strains and large rotations. Washington, DC: National Aeronautics and Space Administration.
Hodges, D. H. 1990. “A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams.” Int. J. Solids Struct. 26 (11): 1253–1273. https://doi.org/10.1016/0020-7683(90)90060-9.
Hodges, D. H. 2003. “Geometrically exact, intrinsic theory for dynamics of curved and twisted anisotropic beams.” AIAA J. 41 (6): 1131–1137. https://doi.org/10.2514/2.205410.2514/2.2054.
Houbolt, J. C., and G. W. Brookes, 1958. Differential equations of motion for combined flapwise bending, chordwise bending, and torsion of twisted nonuniform rotor blades. Boston: National Advisory Committee for Aeronautics.
Kwon, O. J., D. H. Hodges, and L. N. Sankar. 1991. “Stability of hingeless rotors in hover using three-dimensional unsteady aerodynamics.” J. Am. Helicopter Soc. 36 (2): 21–31. https://doi.org/10.4050/JAHS.36.21.
Mardanpour, P., D. H. Hodges, R. Neuhart, and N. Graybeal. 2013. “Engine placement effect on nonlinear trim and stability of flying wing aircraft.” J. Aircr. 50 (6): 1716–1725. https://doi.org/10.2514/1.C031955.
Mardanpour, P., P. W. Richards, O. Nabipour, and D. H. Hodges. 2014. “Effect of multiple engine placement on aeroelastic trim and stability of flying wing aircraft.” J. Fluids Struct. 44 (Jan): 67–86. https://doi.org/10.1016/j.jfluidstructs.2013.09.018.
Simo, J. C., and L. Vu-Quoc. 1988. “On the dynamics in space of rods undergoing large motions—A geometrically exact approach.” Comput. Methods Appl. Mech. Eng. 66 (2): 125–161. https://doi.org/10.1016/0045-7825(88)90073-4.
Sotoudeh, Z., and D. H. Hodges. 2013. “Structural dynamics analysis of rotating blades using fully intrinsic equations, Part I: Formulation and verification of single-load-path configurations.” J. Am. Helicopter Soc. 58 (3): 1–9. https://doi.org/10.4050/JAHS.58.032003.
Su, W., and C. E. S. Cesnik. 2011. “Strain-based geometrically nonlinear beam formulation for modeling very flexible aircraft.” Int. J. Solids Struct. 48 (16): 2349–2360. https://doi.org/10.1016/j.ijsolstr.2011.04.012.
Ziabari, M. Y., and B. Ghadiri. 2010. “Vibration analysis of elastic uniform cantilever rotor blades in unsteady aerodynamics modeling.” J. Aircr. 47 (4): 1430–1435. https://doi.org/10.2514/1.45851.
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Published In
Journal of Aerospace Engineering
Volume 32 • Issue 5 • September 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Nov 27, 2018
Accepted: Mar 28, 2019
Published online: May 28, 2019
Published in print: Sep 1, 2019
Discussion open until: Oct 28, 2019
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