双旋制导火箭弹动力学建模

依据双旋火箭弹的多体特点,采用多体动力学中的凯恩方法建立了包含弹头和后体动力学特征的双旋火箭弹动力学模型。综合考虑弹头和后体的相互作用,将轴向的约束力视为非理想约束,并将其考虑进广义主动力,最终得到7 个标量动力学方程。理论分析与仿真结果表明,采用凯恩方法建立动力学模型同牛顿欧拉法所建模型相比较,凯恩模型不仅能够精确地展现双旋制导火箭弹的飞行特性,同时也减少了微分方程的求解数量,便于计算机的仿真计算,具有一定的适用性。

Dynamics Modeling of Guided Dual-spin Rocket

On the basis of multi-body characteristics of dual-spin rocket, a dynamics model, including motions of nose and afterbody is established by Kane method. Considering the interaction of the nose and the afterbody, the axial constraint forces between the nose and the afterbody is treated as active force rather than ideal constraint. Finally, seven scalar dynamic equations can be obtained. Theoretical analysis and simulation results show that the Kane model can present the flight characteristics of dual-spin rocket as accurately as the Newton Euler model. At the same time, the Kane model also can reduce the number of differential equations and has some applicability.