Vibrations of a Beam Moving Over Supports with Clearance

The transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear st...

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Bibliographic Details
Main Author: H.P. Lee
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1994-1605
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Summary:The transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear stiffness. A feature of the present formulation is that its complexity does not increase with increased number of supports. Results of numerical simulations are presented for various prescribed motions of the beam. The effect of support clearance on the stability of the beam is investigated.
ISSN:1070-9622
1875-9203