Cd. Rahn et Cd. Mote, AXIAL FORCE STABILIZATION OF TRANSVERSE VIBRATION IN PINNED AND CLAMPED BEAMS, Journal of dynamic systems, measurement, and control, 118(2), 1996, pp. 379-380
An axial force stabilizes the transverse vibration of a beam with pinn
ed and/or clamped boundary conditions. The nonlinearly coupled, longit
udinal and transverse equations of motion of the beam with axial force
control are simplified using a quasistatic assumption for longitudina
l motion. It is shown that axial damping can ensure weak asymptotic st
ability of transverse vibration.