【摘要】 将火炮发射系统简化为移动质量作用下的轴向运动悬臂梁,基于伯努利-欧拉梁理论和广义Hamilton原理,推导了考虑梁内张力的轴向运动梁振动方程。采用变量替换的方法把时变振动方程转换为固定区域的变系数微分方程。再用假设模态法和Galerkin法对控制微分方程进行空间离散求解。利用高精度时间有限元求解该时变方程,用两个算例验算振动方程的准确性。最后数值模拟移动弹丸对身管横向振动的影响。更多还原

【Abstract】 An artillery system was simplified into an axially moving cantilever beam under the action of a moving mass. The axially moving beam’s vibration control equation considering beam’s tension was obtained based on BernoulliEuler theory and Hamilton principle. The assumed mode method and Galerkin discrete method were used to solve this vibration control equation. The difference between considering and unconsidering the axial movement of the artillery model was analyzed with numerical simulations. At last,the influence of bullet’s moving on transverse vibration of barrel was simulated.更多还原