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Acta Armamentarii ›› 2016, Vol. 37 ›› Issue (5): 829-839.doi: 10.3969/j.issn.1000-1093.2016.05.009

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A Theoretical Study of Forced Motion for Dual-spin-stabilized Projectiles with Canards

CHANG Si-jiang1, WANG Zhong-yuan1, LIU Tie-zheng2   

  1. (1.School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094,Jiangsu, China;2.Department of Military Equipment Trade Development, Ordnance Science Institute of China, Beijing 100089, China)
  • Received:2015-11-02 Revised:2015-11-02 Online:2016-07-06
  • Contact: CHANG Si-jiang E-mail:ballistics@126.com

Abstract: To provide a deep understanding of dynamic properties of dual-spin-stabilized projectile with canards, the forced motion induced by periodic disturbance of canards installed on the forward body is studied. A simplified seven degree-of-freedom rigid body dynamic model for this projectile is established. A linearized model of pitching and yawing motion is deduced by using the equations of transverse motion with the assumption of small angle of attack. The corresponding special solution of the forced term driven by periodic disturbance of canards is also obtained. The resonance conditions and influencing factors, such as canard deflection angle, canard placement, and ratio of axial moment of inertia, of this forced motion are discussed by analyzing the fast and slow arm turning rates of angle of attack and the forced amplitude numerically. The spin lock-in for the forward body is preliminarily analyzed under the condition of large angle of attack, and both the expressions of stable orientation angle and critical angle of attack for spin lock-in are proposed.

Key words: ordnance science and technology, dual-spin projectile, canard, spin rate property, angle of attack, resonance, spin lock-in

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