高速旋转飞行器弯-扭-轴向变形耦合与拍振

以高速旋转大长径比飞行器为对象，考虑发射过程中弹体在各种激励作用下的弯曲，扭转和轴向耦合运动与变形，运用Euler-Bernoulli旋转梁理论，给出弹体空间运动的一般描述，通过Hamilton原理建立顺的三维耦合动力学方程，并利用参数摄动方法和假设振型方法将非线性偏微分方程化为一组线性常分方程，数值模拟并分析了转速，长径比，弯－扭－轴向度变形耦合等因素对飞行器瞬态响应的影响，揭示了发射过程中由弹体耦合变形诱导的拍振现象。

Dynamic Analysis of Sinning Flexible Missiles with Coupled Lateral-Torsional-Axial Vibrations

In the paper the dynamic analysis of spinning flexible missiles with the larger slenderness ratio and higher angular velocity is presented.The coupled vibrations of missiles due to lateral and torsional and axial deformations based on Euler_Bernoulli theory are considered.Equations of motion and boundary conditions are derived by use of Hamilton principle.The set of nonlinear partial differential equations is transformed into a set of linear ordingary differential equations by using the perturbation approach and assuming mode method.The influences of the spinning velocity,slenderness ratio and coupled vibrations on the dynamic response of missiles are studied,and the beating phenomenon is analyzed during launch phase.