摘要
为分析电磁轨道发射装置中导轨在发射过程的动力学响应,将分布式移动电磁载荷作用下的导轨简化为伯努利-欧拉梁,建立了悬臂支撑约束下的导轨振动控制方程。采用分离变量法求解高阶偏微分方程,通过模态叠加导出了给定初边界条件下的导轨振动解析解和临界速度表达式。分别计算分析了电枢匀速运动、典型电流驱动下变加速运动时导轨的动力学响应特征,讨论了导轨振动响应的临界速度效应。结合电枢在膛内的运动过程,分析了导轨的振动挠度、速度和横向加速度等参量的变化规律。研究结果可为发射器封装结构的设计提供一定的理论依据。
In order to analyze the dynamic responses of the conducting rails in an electromagnetic rail launcher(EMRL),the rails subjected to the distributed moving electromagnetic forces were simplified as a Bernoulli-Euler beam,and the governing vibration equations of the rails under cantilever support constraints were established.The method of separation of variables was applied to solve the higher order partial differential equations.The analytical solutions and the critical speed expression of the rail vibration under the given initial boundary conditions were derived through modal superposition.The dynamic responses of the rails were calculated and analyzed in the case of an uniform motion of the armature and in the case of variable acceleration driven by a typical current,respectively.The critical velocity effect of the vibration response of the rails was also discussed.Especially,the characterization of the vibration deflection,velocity and lateral acceleration of the rails was analyzed combined with the movement of armature.This study will provide some theoretical support for the design of package structure of the launcher.
作者
吴金国
林庆华
栗保明
WU Jin-guo;LIN Qing-hua;LI Bao-ming(School of Automotive & Rail Transit,Nanjing Institute of Technology,Nanjing 211167,China;National Key Laboratory of Transient Physics,Nanjing University of Science and Technology,Nanjing 210094,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2019年第1期120-127,共8页
Journal of Vibration Engineering
基金
南京工程学院高层次引进人才科研启动基金资助项目(YKJ201840
YKJ201842
YKJ201732)
关键词
轨道动力响应
发射动力学
伯努利-欧拉梁
临界速度
电磁轨道炮
dynamic response of rail
launch dynamics
Bernoulli-Euler beam
critical velocity
electromagnetic railgun
