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Elastic Dynamic Effects on the Trajectory of a Flexible Launch Vehicle

机译：弹性动力对柔性运载火箭弹道的影响

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摘要

This paper explains the full process of calculating the trajectory and vibration characteristics of a spinning flexible launch vehicle. The rigid and elastic coupled equations of motion are derived using the Lagrangian approach. The transfer matrix method of linear multibody system dynamics is used to evaluate the vehicle's natural frequencies and bending mode shapes, which vary with time in the boosting phase of flight. The vehicle is idealized as a nonuniform beam with variable mass and stiffness distributions with thrust and mass depleting effects accounted for. The aerodynamic loads on the vehicle are obtained through the slender-body aerodynamic derivatives method based on quasi-steady theory. Because of thrust effect in the boosting phase, the vehicle experiences larger deformations than at burnout. Different mode orders and zero structural damping are applied respectively, which leads to the conclusion that the flexible vehicle's vibration is basically a function of the fundamental mode, and structural damping may be ignored. The deformation of an elastic rocket may diminish the static margin, increasing the pitch angle and reducing the yaw angle compared to a rigid vehicle. These factors and the elastic-body local angle of attack influence the vehicle's flexible motion and should not be neglected.
机译：本文介绍了计算旋转柔性运载火箭的轨迹和振动特性的全过程。使用拉格朗日方法导出运动的刚性和弹性耦合方程。线性多体系统动力学的传递矩阵方法用于评估车辆的固有频率和弯曲模式形状，它们在飞行助推阶段随时间变化。车辆被理想化为具有可变质量和刚度分布并考虑了推力和质量消耗效应的非均匀梁。通过基于准稳态理论的细长车身气动导数方法获得了车辆上的气动载荷。由于在助推阶段的推力效应，车辆发生的变形比燃尽时更大。分别应用了不同的模阶和零结构阻尼，从而得出的结论是，柔性车辆的振动基本上是基本模的函数，结构阻尼可以忽略。与刚性车辆相比，弹性火箭的变形可能会减少静态裕度，增加俯仰角并减小偏航角。这些因素和弹性体的局部攻角会影响车辆的灵活运动，因此不应忽视。

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  • 来源
    《Journal of Spacecraft and Rockets》 |2015年第6期|1586-1602|共17页
  • 作者

    Li Minjiao; Rui Xiaoting; Abbas Laith K.;

  • 作者单位

    Nanjing Univ Sci & Technol, Inst Launch Dynam, Nanjing 210094, Jiangsu, Peoples R China;

    Nanjing Univ Sci & Technol, Inst Launch Dynam, Nanjing 210094, Jiangsu, Peoples R China;

    Nanjing Univ Sci & Technol, Inst Launch Dynam, Nanjing 210094, Jiangsu, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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