Research on the Attack Angle Response of Projectile Considering the Instantaneous and Durable Force Induced by Canards
Dongguang Li, RU-PENG LI, YONG-HUI SHI, PENG-FEI HUO
Abstract
Dongguang Li, RU-PENG LI, YONG-HUI SHI, PENG-FEI HUO
Abstract
The investigation in attack angle induced by canards control force is an important issue for trajectory correction technology. This paper focuses on the attack angle response of projectile considering not only durable force but instantaneous force. Following the introduction of the projectile nonlinear dynamic models in the non-rolling reference frame, the equations of attack angle under control are established. The initial angular rate is derived through a model with conservation of angular momentum. The analytical solutions of attack angle under the two conditions are presented. The analytical expression of the relationship between trajectory shift and attack angle is presented. When instantaneous force is taken into consideration, the magnitude of the maximum angle of attack is raised by 10.2%, the steady-state time is extended by 15.2%, whereas the trajectory under two kinds of condition varies little.
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The investigation in attack angle induced by canards control force is an important issue for trajectory correction technology. This paper focuses on the attack angle response of projectile considering not only durable force but instantaneous force. Following the introduction of the projectile nonlinear dynamic models in the non-rolling reference frame, the equations of attack angle under control are established. The initial angular rate is derived through a model with conservation of angular momentum. The analytical solutions of attack angle under the two conditions are presented. The analytical expression of the relationship between trajectory shift and attack angle is presented. When instantaneous force is taken into consideration, the magnitude of the maximum angle of attack is raised by 10.2%, the steady-state time is extended by 15.2%, whereas the trajectory under two kinds of condition varies little.
Key concepts: Projectile, Trajectory, Angle of attack, Control theory (sociology), Physics, Angular momentum, Mechanics, Nonlinear system