摘要
对于小幅晃动的充液飞行器流固耦合问题,可以采用等效力学模型来描述液体晃动.然而在研究液体对刚体的影响上,暂未有人从频域的角度进行建模.本文在已知液体各阶模态等效力学模型的基础上,利用虚功率原理和线性小扰动原理给出充液飞行器纵向模态舵偏角到姿态传函,并根据主导极点概念将充液飞行器高阶系统近似为二阶系统典型传递函数,以携带横放圆柱贮箱飞行器为例,分析了不同充液比和贮箱尺寸对典型传函系数的影响.结果表明,液体质量和转动惯量主要影响飞行器传递系数、时间常数,使得飞行器机动性和纵向模态自然频率降低;而液体晃动主要影响典型传函中相对阻尼系数,使得飞行器纵向相对稳定性降低.
Equivalent mechanical model can be used to describe liquid sloshing of a liquid-filled vehicle with small amplitude sloshing.However,in the study of effect of liquids on rigid body,modeling from the perspective of frequency domain is still absent.In this paper,based on the known equivalent mechanical models associated with various modes of liquid,the transfer function of longitudinal mode rudder deflection angle to attitude is given by the principle of virtual power and the principle of linear small disturbance.According to the concept of dominant pole,the high-order system of liquid-filled vehicle is approximated by typical transfer functions of second-order systems.The results show that the liquid mass and moment of inertia mainly affect the transfer coefficient and time constant of the vehicle,which reduce the maneuverability and the natural frequency of longitudinal mode of the vehicle,while the liquid sloshing mainly affects the relative damping coefficient in the typical transfer function,which reduces the longitudinal relative stability of the vehicle.
作者
邓林啸
吕竹勇
王天舒
吕敬
Deng Linxiao;Lv Zhuyong;Wang Tianshu;Lv Jing(Beihang University,Beijing 100191,China;Beijing institute of aerospace technology,Beijing 100074,China;Tsinghua University,Beijing 100084,China)
出处
《动力学与控制学报》
2021年第5期70-80,共11页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11572018)。
关键词
小幅晃动
流固耦合
等效力学模型
典型传递函数
small amplitude sloshing
fluid structure coupling
equivalent mechanical model
typical transfer function
