NDLI: Dynamic Stability of a Spinning Timoshenko Beam Subjected to a Moving Mass-Spring-Damper Unit

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Young, T. H. Chen, M. S.
Copyright Year	2010
Abstract	This paper investigates the dynamic stability of a finite Timoshenko beam spinning along its longitudinal axis and subjected to a moving mass-spring-damper (MSD) unit traveling in the axial direction. The mass of the moving MSD unit makes contact with the beam all the time during traveling. Due to the moving MSD unit, the beam is acted upon by a periodic, parametric excitation. In this work, the equations of motion of the beam are first discretized by the Galerkin method. The discretized equations of motion are then partially uncoupled by the modal analysis procedure suitable for gyroscopic systems. Finally the method of multiple scales is used to obtain the stability boundaries of the beam. Numerical results show that if the displacement of the MSD unit is equal to only one of the two transverse displacements of the beam, very large unstable regions may appear at main resonances.
Sponsorship	International
Starting Page	307
Ending Page	315
Page Count	9
File Format	PDF
ISBN	9780791849163
DOI	10.1115/ESDA2010-25021
e-ISBN	9780791838778
Volume Number	ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 2
Conference Proceedings	ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
Language	English
Publisher Date	2010-07-12
Publisher Place	Istanbul, Turkey
Access Restriction	Subscribed
Subject Keyword	Spinning (textile) Spin (aerodynamics) Stability Dampers Modal analysis Dynamic stability Galerkin method Resonance Excitation Equations of motion Springs Displacement
Content Type	Text
Resource Type	Article

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