滚转和锥进运动对弹箭动导数求解的影响  

Influence of rolling and coning motion on dynamic derivatives predictions for projectile

作　　者：陈亮[1] 刘荣忠[1] 郭锐[1] 陈福红 侯俊亮 杨永亮[1] 邢柏阳 高科[1] CHEN Liang;LIU Rongzhong;GUO Rui;CHEN Fuhong;HOU Junliang;YANG Yongliang;XING Boyang;GAO Ke(School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China;The Seventh Design Department,Aerospace Science and Technology Corporation,the Seventh Research Institude,Chengdu 610100,China)

机构地区：[1]南京理工大学机械工程学院,江苏南京290014 [2]中国航天科技集团公司第七研究院第七设计部,四川成都610100

出　　处：《空气动力学学报》2018年第5期805-814,共10页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(11372136);中央高校基本科研业务费专项基金(30916011306)

摘　　要：现有的弹箭动稳定性导数计算通常忽略了耦合运动效应的影响,而弹箭在实际飞行中,通常同时存在俯仰、滚转以及锥进运动。为此,本文提出了基于欧拉转动定理和滑移网格技术的复杂角运动模拟方法,该方法利用著名的罗德里格斯转换矩阵插值求得弹箭在每个时间步的角速度修正值,并指定给球形滑移网格区,从而模拟弹箭俯仰滚转锥进相耦合的三自由度耦合角运动,在此基础上,通过对非定常气动参数进行求解辨识,分析了滚转频率和锥进频率对其俯仰组合动导数和升力系数动导数的影响规律。结果表明:本文提出的复杂角运动模拟方法,可有效消除姿态角计算的累积误差,实现对弹箭任意给定角运动的准确模拟;在耦合角运动状态下,弹箭气动力系数迟滞环发生明显的振荡和偏移,俯仰组合动导数和升力系数动导数均随滚转频率和锥进频率增加而显著变化,且变化规律具有非线性特性。Current calculation processes on dynamic derivatives of projectiles and the corresponding stability analysis are usually conducted with the influences of the motion coupling effect ignored.However,the pitching,rolling and coning motions exist simultaneously in most cases.In this paper,a method based on the Euler rotation theorem and spherical sliding meshing technique has been proposed to deal with the simulation of complex angular motion.The modification value of the projectile’s angular velocity at each time step is interpolated out and the sliding meshing zone is allocated with the application of the Rodriguez transformation matrix in the method.The influences of the projectile’s rolling and coning motion on pitching combination dynamic derivatives and lift coefficient are analyzed after solving and identifying the unsteady aerodynamic parameters.The results indicate that the proposed method can effectively eliminate the accumulative errors in calculation of attitude angles and realize the accurate simulation under arbitrary given angular motion.For the coupling angle movement,the hysteresis loop of aerodynamic loads are greatly oscillated and offset,and the pitching combination dynamic derivatives and lift coefficient change significantly and nonlinearly with the increase of roll frequency and taper frequency.

关 键 词：耦合运动 风洞实验 动导数 滑移网格 罗德里格斯转换矩阵 

分 类 号：TJ414.5[兵器科学与技术—火炮、自动武器与弹药工程]