Abstract
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.
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 language | English |
|---|---|
| Publication date | 2012 |
| Number of pages | 4 |
| Publication status | Published - 2012 |
| Event | EUROMECH Colloquium 532 : 1st International Colloquium on Time periodic systems (TPS). Current trends in theory and application - Technische Universität Darmstadt, Darmstadt, Germany Duration: 27 Aug 2012 → 30 Aug 2012 http://www.sdy.tu-darmstadt.de/euromech532/ |
Conference
| Conference | EUROMECH Colloquium 532 |
|---|---|
| Location | Technische Universität Darmstadt |
| Country | Germany |
| City | Darmstadt |
| Period | 27/08/2012 → 30/08/2012 |
| Internet address |
Bibliographical note
1st International Colloquium on Time-periodic SystemsCite this
Fuglede, N., & Thomsen, J. J. (2012). Vibrations of axially moving strings with in-plane oscillating supports. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.