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Study on the chaotic dynamics in yaw–pitch–roll coupling of asymmetric rolling projectiles with nonlinear aerodynamics

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Abstract

To predict the coning motion forms of a rolling projectile with configurational asymmetries, the nonlinear characteristics for the system are investigated in this paper. The nonlinear dynamic model of rolling projectiles in coning motion is built by considering the nonlinear aerodynamics and roll orientation-dependent aerodynamics. The configurational asymmetry is modeled as a periodically parametric excitation in order to study its effect on the periodic response stability of the rolling projectile. Numerical continuation method is resorted to determine the parametric zone for the steady motions, and the possible stable rotational speeds are discussed. The numerical simulations, Lyapunov exponent spectrum analysis and Poincaré sections are performed to confirm the existence of chaotic coning motion. The results shown in this study not only contribute to an in-depth understanding for the nonlinear dynamics of rolling projectiles but also provide an important reference for the further study of the control design for the yaw–pitch–roll coupling of asymmetric rolling projectiles with nonlinear aerodynamics.

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Acknowledgements

Our special thanks go to Arun K. Banerjee for his valuable suggestions to this paper. The work presented in this paper was supported by National Natural Science Foundation of China (Grant Nos. 11472041, 11532002, 11772049).

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Authors and Affiliations

  1. School of Aerospace Engineering, Beijing Institute of Technology, Haidian District, Beijing, 100081, People’s Republic of China

    Yanli Xu, Baozeng Yue & Liangyu Zhao

  2. Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Zhengmao Yang

  3. Institute of Xian Modern Control & Technology, Xian, 710065, Shanxi, People’s Republic of China

    Shuxing Yang

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  1. Yanli Xu
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Correspondence to Baozeng Yue.

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Xu, Y., Yue, B., Yang, Z. et al. Study on the chaotic dynamics in yaw–pitch–roll coupling of asymmetric rolling projectiles with nonlinear aerodynamics. Nonlinear Dyn 97, 2739–2756 (2019). https://doi.org/10.1007/s11071-019-05159-3

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