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Research Papers

Modeling and Stability Analysis of an Axially Moving Beam With Frictional Contact

[+] Author and Article Information
Gottfried Spelsberg-Korspeter

Department of Mechanical Engineering, Dynamics and Vibrations Group, Technische Universität Darmstadt, Hochschulstrasse 1, 64289 Darmstadt, Germanyspeko@dyn.tu-darmstadt.de

Oleg N. Kirillov2

Department of Mechanical Engineering, Dynamics and Vibrations Group, Technische Universität Darmstadt, Hochschulstrasse 1, 64289 Darmstadt, Germanykirillov@dyn.tu-darmstadt.de

Peter Hagedorn

Department of Mechanical Engineering, Dynamics and Vibrations Group, Technische Universität Darmstadt, Hochschulstrasse 1, 64289 Darmstadt, Germanypeter.hagedorn@dyn.tu-darmstadt.de

2

Visiting from the Institute of Mechanics, Moscow State Lomonosov University, Michurinskii pr. 1, 119192 Moscow, Russia, e-mail: kirillov@imec.msu.ru

J. Appl. Mech 75(3), 031001 (Mar 05, 2008) (10 pages) doi:10.1115/1.2755166 History: Received January 26, 2007; Revised May 03, 2007; Published March 05, 2008

This paper considers a moving beam in frictional contact with pads, making the system susceptible for self-excited vibrations. The equations of motion are derived and a stability analysis is performed using perturbation techniques yielding analytical approximations to the stability boundaries. Special attention is given to the interaction of the beam and the rod equations. The mechanism yielding self-excited vibrations does not only occur in moving beams, but also in other moving continua such as rotating plates, for example.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Axially moving beam

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Figure 2

Contact kinematics

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Figure 4

Segments of the beam

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Figure 5

Eigenvalue curves for κ¯=3π

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Figure 6

Stability boundaries (subcritical range)

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Figure 7

Stability boundaries (supercritical range)

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