Abstract
This paper evaluates the effects and effectiveness of a dynamic vibration absorber (DVA) designed for mitigation of unstable oscillations of helicopters when it is on the ground, i.e.: ground resonance phenomenon. For this purpose, firstly, a parametric analysis shows the stability charts obtained for helicopters without and with DVA as function of the fuselage and rotor damping levels. Also, the present paper is interested on determining the influence of designed DVA devices on the stability robustness of the aircraft once uncertainties are considered in the blade’s hinge stiffness. In this sense, \(\mu \)-analysis is used to predict the smallest stiffness perturbation that leads the helicopter to instability. Indeed, it is not possible to assure the same properties of mechanical components which may alters the effectiveness of the designed DVA. Therefore, the assessment of stability robustness is verified and compared between both aircrafts (without and with DVA). The results showed for both helicopters, if proper combination of fuselage and rotor damping is considered, stability robustness is verified. Also, the inclusion of DVA device on helicopters does not affect the aircraft stability robustness.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bir, G.: Multiblade coordinate transformation and its application to wind turbine analysis. In: ASME Wind Energy Symposium, pp. 1–15 (2008)
Coleman, R.P., Feingold, A.M.: Theory of self-excited mechanical oscillations of helicopter rotors with hinged blades. NACA Report No. 1351 (1957)
Ganiev, R.F., Pavlov, I.G.: The theory of ground resonance of helicopters. Int. Appl. Mech. 9(5), 505–510 (1973)
Johnson, W.: Helicopter theory. Courier Corporation (2012)
Kalender, S., Flashner, H.: Control design and robustness analysis of linear time-periodic systems. J. Comput. Nonlinear Dyn. 3(4) (2008)
Konstanzer, P., Enenkl, B., Aubourg, P., Cranga, P.: Recent advances in Eurocopter’s passive and active vibration control. In: Annual Forum Proceedings-American Helicopter Society, vol. 64, p. 854. American Helicopter Society, Inc (2008)
Lauridsen, J., Santos, I.: Design of robust AMB controllers for rotors subjected to varying and uncertain seal forces. Mech. Eng. J. 16-00618 (2017)
Narayana Rao, K.S., Pranesh, B., Ravindranath, R.: Design, development and validation of an anti-resonant isolation. In: 24th European Rotorcraft Forum, Marseille, France (1998)
Sanches, L., Alazard, D., Michon, G., Berlioz, A.: Robustness analysis of helicopter ground resonance with parametric uncertainties in blade properties. J. Guid. Control Dyn. (2013)
Sanches, L., Michon, G., Berlioz, A., Alazard, D.: Parametrically excited helicopter ground resonance dynamics with high blade asymmetries. J. Sound Vib. 331(16), 3897–3913 (2012)
Sawicki, J.T., Madden, R.: Identification of missing dynamics in rotor systems using robust control theory approach. In: Vibration Problems ICOVP 2011, pp. 581–587. Springer (2011)
Sims, N.D.: Vibration absorbers for chatter suppression: a new analytical tuning methodology. J. Sound Vib. 301(3), 592–607 (2007)
Steffen Jr, V., Rade, D.: Dynamic vibration absorber. In: Encyclopedia of Vibration, pp. 9–26 (2001)
Tarng, Y., Kao, J., Lee, E.: Chatter suppression in turning operations with a tuned vibration absorber. J. Mater. Process. Technol. 105(1), 55–60 (2000)
Wang, J., Chopra, I.: Dynamics of helicopters in ground resonance with and without blade dissimilarities. In: Dynamics Specialists Conference, p. 2108 (1992)
Acknowledgements
The authors would like to thank the French and Brazilian funding provided by CNPq (Scholarship IC-CNPQ2015-0139 and Project 460207/2014-8), through INCT-EIE and FAPEMIG.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
de Oliveira, D.B.P., Coelho, J.F.P., Sanches, L., Michon, G. (2019). Dynamics of Helicopters with DVA Under Structural Uncertainties. In: Fleury, A., Rade, D., Kurka, P. (eds) Proceedings of DINAME 2017. DINAME 2017. Lecture Notes in Mechanical Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-91217-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-91217-2_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-91216-5
Online ISBN: 978-3-319-91217-2
eBook Packages: EngineeringEngineering (R0)