Vibrations of axially moving strings with in-plane oscillating supports

Niels Fuglede, Jon Juel Thomsen

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For a traveling string moving in the plane we analyze analytically the transverse vibrations arising from
oscillation of the string supports. Of special interest is the excitation typical of roller chain drives, where
meshing between chain and sprockets cause both noise and vibration. Considering a uniform, heavy
string moving at subcritical speed with prescribed endpoint motion, and ignoring longitudinal inertia,
one obtains a continuous, nonlinear, gyroscopic, parametrically and externally excited system. By
employing a single-mode approximation, using velocity dependent mode shapes, the system response
is approximated using the method of multiple scales. Vibrations from support oscillations characteristic
of roller chain drives are investigated. Conclusions about critical values for chain drive parameters such
as pretension and meshing frequency are sought and identified.
Original languageEnglish
Publication date2012
Number of pages4
Publication statusPublished - 2012
EventEUROMECH Colloquium 532 : 1st International Colloquium on Time periodic systems (TPS). Current trends in theory and application - Technische Universität Darmstadt, Darmstadt, Germany
Duration: 27 Aug 201230 Aug 2012


ConferenceEUROMECH Colloquium 532
LocationTechnische Universität Darmstadt
Internet address

Bibliographical note

1st International Colloquium on Time-periodic Systems


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