Abstract

This paper is concerned with parametric vibration of a beam having one end supported at a motionless mount and the other at an axially oscillating mount. It is shown that the time-history of the motion of the beam may be expressed in terms of jacobi elliptic functions. The effect of the friction force, resulting from the relative motion of the mount and the beam, on the vibration is studied. The instability regions are found and plotted.

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