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

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 or...

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Bibliographic Details
Published in:Nonlinear dynamics 2019-09, Vol.97 (4), p.2739-2756
Main Authors: Xu, Yanli, Yue, Baozeng, Yang, Zhengmao, Zhao, Liangyu, Yang, Shuxing
Format: Article
Language:English
Subjects:
Aerodynamics
Asymmetry
Automotive Engineering
Chaos theory
Classical Mechanics
Computer simulation
Coning motion
Control
Coupling
Dynamic models
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear dynamics
Original Paper
Pitch (inclination)
Projectiles
Rolling motion
Rotational spectra
Spectrum analysis
Vibration
Yaw
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-05159-3