Abstract： The projectile-barrel launching system is simplified as an axially moving cantilever beam system under the effect of a moving mass. The vibration equation of the axially moving beam is derived. The modified Galerkin’s method is employed to truncate the governing partial differential equation of the translating beam to a set of second order time-varying ordinary differential equations. Then the equations are calculated based on Newmark-β time integration method. The results show that the first order mode of beam is inspired by the moving mass. The magnitude of the moving mass and its moving speed have an important effect on the beam vibration response and the beam shows instable vibration state in spite of constricting or extending. After the moving mass disengages the constricting beam, the beam instantaneous vibration frequency and vibration displacement are decreased while the vibration speed are increased and the movement of the beam is in the instability state too. However, while the beam are extending, the unrestricted vibration rules of the beam are reverse.
刘宁;杨国来. 移动质量作用下轴向运动悬臂梁振动特性分析 [J]. , 2012, 31(3): 102-105.
LIU Ning;YANG Guo-lai. Vibration property analysis of an axially moving cantilever beam with the effect of a moving mass. , 2012, 31(3): 102-105.
2012, Vol. 31 
