摘要
针对电磁轨道炮等新概念电磁发射系统发射动力学建模复杂、计算成本高等难题,考虑上下导轨非对称性影响,将上下导轨视为横向振动梁,身管视为在特定位置作用两弹性支撑的横向振动梁,导轨与身管间的相互作用视为连续分布弹簧,建立导轨身管系统三梁动力学模型。利用多体系统传递矩阵法推导系统各部分传递矩阵,组装系统总传递方程,求解系统任意位置在对应频率下的状态矢量。通过毕奥-萨伐尔定律解算导轨间及枢轨间的电磁力作用系数,分析导轨所受电磁力分布规律。利用模态叠加法求解系统静位移和在重力及时变电磁力作用下的动态响应,并与商业有限元软件计算结果比较,验证该方法的有效性和快速性。分析发现当电流较小时,系统在静变形位置附近波动,电流达到峰值平台后,上下导轨间距在“扩张-收缩”的过程中反复震荡;上导轨由于弹性支撑参数等非对称性因素的影响变形量更大,为电磁轨道炮耦合系统动力学分析提供理论支撑。
To solve the problems of complex launching dynamics modeling and high computational cost of electromagnetic-launch systems with new concepts such as electromagnetic railguns,the influence of the asymmetry of the upper and lower guides was considered.The upper and lower guide rails were regarded as transverse vibration beams.The barrel was treated as a transverse vibration beam with two elastic supports acting at the specific position,and the interaction between the guide rail and the barrel was regarded as a distributed spring.The three-beam dynamic model of the guide rail barrel system was established.The multibody system transfer matrix method(MSTMM)was used to derive the transfer matrix of each part and assemble the total transfer equation of the system,and the state vector of any position of the system at the corresponding frequency was solved.Based on Biot-Savart law,the electromagnetic force coefficient between guideway and guideway and the electromagnetic force coefficient between armature and guideway were calculated.The distribution law of electromagnetic force on the guide rail was analyzed.Using modal superposition method,the static displacement and dynamic response of the system under the action of gravity and time-varying electromagnetic force were calculated.Compared with the calculation results of commercial finite element software,the validity and rapidity of this method were verified.The analysis shows that the system fluctuates near the static deformation position when the current is small.After the current reaches the peak,the distance between the upper and lower rails fluctuates repeatedly in the process of"expansion-contraction".The deformation of the upper guide rail is larger due to asymmetric factors such as elastic support parameters.The study provides theoretical support for the dynamics of the subsequent electromagnetic railgun coupling system.
作者
江镇宇
于海龙
何斌
靳展
JIANG Zhenyu;YU Hailong;HE Bin;JIN Zhan(Institute of Launch Dynamics,Nanjing University of Science and Technology,Nanjing 210094,China)
出处
《弹道学报》
CSCD
北大核心
2023年第3期47-54,77,共9页
Journal of Ballistics
关键词
电磁轨道炮
导轨身管系统
多体系统传递矩阵法
振动特性
动态响应
electromagnetic railgun
guideway barrel system
multibody system transfer matrix method
vibration characteristics
dynamic response
