| 引用本文: | 刘文,李敏,白象忠,张海军.电磁炮发射轨道受指数函数磁压力的变形计算[J].哈尔滨工业大学学报,2010,42(8):1336.DOI:10.11918/j.issn.0367-6234.2010.08.033 |
| LIU Wen,LI Min,BAI Xiang-zhong,ZHANG Hai-jun.Deformation calculation of electromagnetic Launcher’s rail subjected to exponential magnetic pressure[J].Journal of Harbin Institute of Technology,2010,42(8):1336.DOI:10.11918/j.issn.0367-6234.2010.08.033 |
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| 摘要: |
| 为解决电磁炮发射轨道受力变形的精确计算,以利于延长导轨的使用寿命并提高发射精度,将某型电磁炮的发射轨道模拟为移动载荷作用下弹性基础上的简支梁,采用欧拉梁理论建立梁的力学模型,推导出受任意指数函数磁压力控制方程的解析解,改变了长期以来利用均布压力近似代替变力求解问题所造成的误差;运用MATLAB软件对弹性基础的弹性系数、阻尼系数、轨道质量和载荷的出口速度对梁变形的影响进行了数值分析.结果表明,弹性基础的弹性系数、移动载荷的出口速度对梁变形的影响比较显著,阻尼系数、轨道质量的大小对梁变形没有明显的影响.为求解电磁炮发射轨道受任意函数的磁压力作用时的变形以及推动电磁炮的实用化奠定了理论基础. |
| 关键词: 电磁炮 发射轨道 欧拉梁 指数函数磁压力 拉格朗日方程 解析解 |
| DOI：10.11918/j.issn.0367-6234.2010.08.033 |
| 分类号:TJ99 |
| 基金项目:国家自然科学基金资助项目(50875230) |
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| Deformation calculation of electromagnetic Launcher’s rail subjected to exponential magnetic pressure |
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LIU Wen1, LI Min1, BAI Xiang-zhong2, ZHANG Hai-jun1
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1.School of Sciences,Yanshan University,Qinhuangdao 066004,China;2.School of Civil Engineering & Mechanics,Yanshan University,Qinhuangdao 066004,China
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| Abstract: |
| In order to accurately calculate of the force-deformation of electromagnetic launcher’s rail for the purpose of extending the rail life and improving the firing accuracy,the electromagnetic launcher’s rail was modeled as a simply supported beam on elastic foundation by moving load.The mechanical model of the beam was built by using Euler beam theory,and the analytical solution to the equation subjected to exponential magnetic pressure was derived,which can avoid the errors resulting from the uniform pressure used to replace the variable force.The influence of the elastic coefficient,the damping coefficient,the mass of rail and the load’ s velocity on the deformation of beam was numerically analyzed with MATLAB.The result shows that the elastic coefficient and the load’s velocity have obvious effect on the deformation of the beam,while the damping coefficient and the mass of rail do not.The study lays a foundation for solving the electromagnetic launcher’s rail subjected to magnetic pressure of arbitrary function and promoting the practicality of the electromagnetic guns. |
| Key words: electromagnetic gun launcher’s rail Euler beam exponential function magnetic pressure Lagrange equation analytical solutions |
