挠性捆绑液体火箭动力学与仿真

Dynamics and Simulation of Flexible Strap-on Rocket with Liquid Propellant

将凯恩方法 (适用于质点和刚体 )扩展到挠性体的动力学研究 ,利用拟速度和拟速率的概念推导拉格朗日方程 (称为拟速度拉格朗日方程 ) ;应用拟速度拉格朗日方程 ,详细推导并建立了大型捆绑运载火箭六自由度动力学模型。该模型不仅考虑了运载火箭 (变质量、变结构 )横向振动和轴向扭转的影响 ,还进一步考虑了贮箱内液体晃动的影响。作为上述理论和方法的应用实例 。

Kane's method,adapted to variable mass particle and rigid body systems,is extended to flexible bodies. Concept of quasi velocity is proposed to derive the Lagrangian equations for quasi velocity. Dynamics equations for alarge strap on rocket are established by using the Lagrangian equations for quasi velocity.Not only the transverse vibration and axial torsion because of the effect of mass depletion as well as the non uniformity of the rocket structural geometry, but also the liquid sloshing of propellant are considered in these equations. The results of the motion simulation of a rocket are given as an example of application of the theory.