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Turning maneuver caused response in an aircraft rotor-ball bearing system

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Abstract

This paper focuses on the nonlinear response caused by aircraft turning flight in a rotor-ball bearing system with internal clearances and Hertzian contact forces. The equations of motion are formulated by using Lagrange equation, where the aircraft turning flight is modeled as a maneuver load. Numerical analyses are carried out to detect the response of the system under maneuver load. The sub-harmonic resonance and irregular motions subjected to the maneuver load are obtained and presented by bifurcation diagrams, amplitude spectrum diagrams, Poincare maps and phase portraits. Two typical patterns that the maneuver load inducing response are found: one is the alternating of period 2 motion and period 1 motion for \(\omega =1{,}350\,\hbox {rad/s}\); the other is the alternating of quasi-periodic motion and period 2 motion for \(\omega =1{,}470\,\hbox {rad/s}\). Moreover, mass eccentricity shows a significant effect on the sub-harmonic resonance of the rotor-ball bearing system under turning flight, which is different from that without considering maneuvering flight condition (Bai and Zhang in Int J Nonlinear Mech 50:1–10, 2013). The results obtained in this paper will contribute an understanding of the nonlinear dynamic behaviors of aircraft rotor systems in maneuvering flight.

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Acknowledgments

The authors would like to acknowledge the financial supports from the Natural Science Foundation of China (Grant Nos. 10632040 and 11072065).

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Lei Hou, Yushu Chen, Qingjie Cao & Zhiyong Zhang

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  1. Lei Hou
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  2. Yushu Chen
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  3. Qingjie Cao
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  4. Zhiyong Zhang
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Correspondence to Lei Hou.

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Hou, L., Chen, Y., Cao, Q. et al. Turning maneuver caused response in an aircraft rotor-ball bearing system. Nonlinear Dyn 79, 229–240 (2015). https://doi.org/10.1007/s11071-014-1659-8

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  • DOI: https://doi.org/10.1007/s11071-014-1659-8

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