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四元数在单翼末敏弹扫描仿真中的应用
引用本文:顾建平,韩子鹏.四元数在单翼末敏弹扫描仿真中的应用[J].弹道学报,2010,22(4).
作者姓名:顾建平  韩子鹏
作者单位:南京工程学院,材料工程学院,南京,211167;南京理工大学,能源与动力工程学院,南京,210094
基金项目:南京工程学院校级科研基金项目(QKJB2009006)
摘    要:用欧拉角法表示单翼末敏弹扫描运动微分方程时,过多的三角函数计算容易导致系统微分方程出现奇点和传递误差,进而导致计算结果失真,针对此问题,选择四元数法来表示欧拉运动学方程,并对其系统微分方程进行修改,比较两者在描述单翼末敏弹扫描运动时的计算机仿真图形.结果表明,相比传统的欧拉角法,四元数法的算法更优化,适合于计算在各种姿态下的扫描运动,更能客观、准确地揭示单翼末敏弹的扫描规律.

关 键 词:单翼末敏弹  四元数法  欧拉角法

Application of Quaternion in Single-fin Terminal Sensing Ammunition Scanning Simulation
GU Jian-ping , HAN Zi-peng.Application of Quaternion in Single-fin Terminal Sensing Ammunition Scanning Simulation[J].Journal of Ballistics,2010,22(4).
Authors:GU Jian-ping  HAN Zi-peng
Affiliation:GU Jian-ping1,HAN Zi-peng2(1.School of Materials Engineering,Nanjing Institute of Technology,Nanjing 211167,China,2.School of Energy and Power Engineering,NUST,Nanjing 210094,China)
Abstract:Euler angle method is often used to describe the scanning of single-fin terminal sensing ammunition.There are too many trigonometric calculations which bring about singular points and transmission errors.Aiming at this problem,quaternion method was used to represent the Euler kinematics equation,and modify the system's differential equations.Compared with the traditional Euler angle method in describing the scanning of single-fin terminal sensing ammunition,the computer simulation results show that the quat...
Keywords:single-fin terminal sensing ammunition  quaternion method  Euler angle method  
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