Axial force stabilization of transverse beam vibration

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish (US)
Title of host publication14th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationVibration and Control of Mechanical Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages6
ISBN (Electronic)9780791811771
StatePublished - 1993
EventASME 1993 Design Technical Conferences, DETC 1993 - Albuquerque, United States
Duration: Sep 19 1993Sep 22 1993

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167972-9


ConferenceASME 1993 Design Technical Conferences, DETC 1993
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation


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