@inproceedings{38e5199a13ac4dc08067bf3650a11cdc,
title = "Axial force stabilization of transverse beam vibration",
abstract = "An axial force stabilizes the transverse vibration of a beam with translational and rotational boundary springs and arbitrary geometry. The nonlinearly coupled , longitudinal and transverse equations of motion of the beam with axial force control are derived and simplified using a quasistatic assumption. Lyapunov's direct method and an invariance principle for distributed systems show that an axial damper can asymptotically and simultaneously stabilize all transverse vibration modes. Asymptotic stability is guaranteed if the eigenvalues are simple and nonzero and if there are no internal resonances between coupled modes.",
author = "Rahn, {Christopher D.} and Mote, {C. D.}",
year = "1993",
language = "English (US)",
isbn = "0791811778",
series = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE",
publisher = "Publ by ASME",
pages = "29--34",
booktitle = "Vibration and Control of Mechanical Systems",
note = "Proceedings of the 14th Biennial ASME Design Technical Conference on Mechanical Vibration and Noise ; Conference date: 19-09-1993 Through 22-09-1993",
}