[1]陈会光,王雨时,闻泉,等.引信球转子运动的四元数数学模型数值仿真[J].南京理工大学学报(自然科学版),2011,(03):352-354.
 CHEN Hui-guang,WANG Yu-shi,WEN Quan.Numerical Simulation on Movement of Fuze Ball Rotor with Mathematical Model of Quaternion[J].Journal of Nanjing University of Science and Technology,2011,(03):352-354.
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引信球转子运动的四元数数学模型数值仿真
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2011年03期
页码:
352-354
栏目:
出版日期:
2011-06-30

文章信息/Info

Title:
Numerical Simulation on Movement of Fuze Ball Rotor with Mathematical Model of Quaternion
作者:
陈会光;王雨时;闻泉;
南京理工大学机械工程学院,江苏南京210094
Author(s):
CHEN Hui-guangWANG Yu-shiWEN Quan
School of Mechanical Engineering,NUST,Nanjing 210094,China
关键词:
引信 球转子 四元数 数学模型 数值仿真
Keywords:
fuzes ball rotors quaternion mathematical models numerical simulation
分类号:
TJ430.1
摘要:
为寻求准确高效地描述引信球转子运动规律的数值仿真算法,分别采用Runge-Kutta方法和Gear方法,利用四元数数学模型对两种引信球转子运动进行了数值仿真。结果表明:与强非线性的欧拉角数学模型相比,线性的引信球转子四元数模型能避免章动角趋近于0°或180°时的奇异性问题;采用Runge-Kutta方法耗用机时为Gear方法的1/3左右。
Abstract:
To obtain the accurate and efficient numerical simulation algorithm for describing the rotation law of a fuze ball rotor,two kinds of fuze ball rotors are numerically simulated with the mathematical model of quaternion using the Runge-Kutta method and Gear method respectively.The simulation results show that compared with the strongly nonlinear mathematical model of Euler angles,the linear quaternion model of the fuze ball rotor can avoid the singularity when the nutation angle approaches 0° or 180°.The time-consumed for the Runge-Kutta method is about one third of the Gear method.

参考文献/References:

[1] 闻泉,王雨时. 引信球转子动力学分析[J]. 探测与控 制学报, 2007, 29( 1) : 23 - 27.
[2] 陈会光,王雨时,闻泉. 用Gear 法求解病态的引信球 转子运动常微分方程组[J]. 探测与控制学报, 2008, 30( 4) : 30 - 35.
[3] 陈会光,王雨时,闻泉. 用四元数建立引信球转子定点转 动的数学模型[J]. 兵工学报, 2009, 30( 6) : 688 -694.
[4] 陈会光. 引信球转子机构研究[D]. 南京: 南京理工 大学机械工程学院, 2007.
[5] 闻泉,王雨时. 引信球转子动力学特性模拟试验[J]. 南京理工大学学报, 2009, 33( 1) : 100 - 103.

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备注/Memo

备注/Memo:
作者简介:陈会光( 1983 - ) ,男,硕士,主要研究方向: 微小型机电系统,E-mail: chenhuiguang2006@ 128. com; 通讯 作者: 王雨时( 1962 - ) ,男,教授,主要研究方向: 引信设计与机构动力学,E-mail: wyshi@126. com。
更新日期/Last Update: 2012-06-30