Vibration property analysis of an axially moving cantilever beam with the effect of a moving mass

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (3) : 102-105.

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Vibration property analysis of an axially moving cantilever beam with the effect of a moving mass

LIU Ning, YANG Guo-lai

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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.

Key words

axially moving beam / moving mass / time-varying system / vibration response / gun

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LIU Ning;YANG Guo-lai. Vibration property analysis of an axially moving cantilever beam with the effect of a moving mass[J]. Journal of Vibration and Shock, 2012, 31(3): 102-105