Title: Axial Force Stabilization of Transverse Beam Vibration
Abstract: 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.
Publication Year: 1993
Publication Date: 1993-09-19
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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