Vibrations of axially moving strings with in-plane oscillating supports
Publication: Research › Conference abstract for conference – Annual report year: 2012
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Vibrations of axially moving strings with in-plane oscillating supports. / Fuglede, Niels; Thomsen, Jon Juel.
2012. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.Publication: Research › Conference abstract for conference – Annual report year: 2012
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TY - ABST
T1 - Vibrations of axially moving strings with in-plane oscillating supports
A1 - Fuglede,Niels
A1 - Thomsen,Jon Juel
AU - Fuglede,Niels
AU - Thomsen,Jon Juel
PY - 2012
Y1 - 2012
N2 - For a traveling string moving in the plane we analyze analytically the transverse vibrations arising from <br/>oscillation of the string supports. Of special interest is the excitation typical of roller chain drives, where <br/>meshing between chain and sprockets cause both noise and vibration. Considering a uniform, heavy <br/>string moving at subcritical speed with prescribed endpoint motion, and ignoring longitudinal inertia, <br/>one obtains a continuous, nonlinear, gyroscopic, parametrically and externally excited system. By <br/>employing a single-mode approximation, using velocity dependent mode shapes, the system response <br/>is approximated using the method of multiple scales. Vibrations from support oscillations characteristic <br/>of roller chain drives are investigated. Conclusions about critical values for chain drive parameters such <br/>as pretension and meshing frequency are sought and identified.
AB - For a traveling string moving in the plane we analyze analytically the transverse vibrations arising from <br/>oscillation of the string supports. Of special interest is the excitation typical of roller chain drives, where <br/>meshing between chain and sprockets cause both noise and vibration. Considering a uniform, heavy <br/>string moving at subcritical speed with prescribed endpoint motion, and ignoring longitudinal inertia, <br/>one obtains a continuous, nonlinear, gyroscopic, parametrically and externally excited system. By <br/>employing a single-mode approximation, using velocity dependent mode shapes, the system response <br/>is approximated using the method of multiple scales. Vibrations from support oscillations characteristic <br/>of roller chain drives are investigated. Conclusions about critical values for chain drive parameters such <br/>as pretension and meshing frequency are sought and identified.
ER -