Vibrations of axially moving strings with in-plane oscillating supports

Publication: ResearchConference abstract for conference – Annual report year: 2012

Standard

Vibrations of axially moving strings with in-plane oscillating supports. / Fuglede, Niels; Thomsen, Jon Juel.

2012. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.

Publication: ResearchConference abstract for conference – Annual report year: 2012

Harvard

Fuglede, N & Thomsen, JJ 2012, 'Vibrations of axially moving strings with in-plane oscillating supports' EUROMECH Colloquium 532 , Darmstadt, Germany, 27/08/2012 - 30/08/2012,

APA

Fuglede, N., & Thomsen, J. J. (2012). Vibrations of axially moving strings with in-plane oscillating supports. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.

CBE

Fuglede N, Thomsen JJ. 2012. Vibrations of axially moving strings with in-plane oscillating supports. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.

MLA

Vancouver

Fuglede N, Thomsen JJ. Vibrations of axially moving strings with in-plane oscillating supports. 2012. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.

Author

Fuglede, Niels; Thomsen, Jon Juel / Vibrations of axially moving strings with in-plane oscillating supports.

2012. Abstract from EUROMECH Colloquium 532 , Darmstadt, Germany.

Publication: ResearchConference abstract for conference – Annual report year: 2012

Bibtex

@misc{bffc7faf8fb84cc3bff6cd838ffb143e,
title = "Vibrations of axially moving strings with in-plane oscillating supports",
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.",
author = "Niels Fuglede and Thomsen, {Jon Juel}",
note = "1st International Colloquium on Time-periodic Systems",
year = "2012",

}

RIS

TY - ABST

T1 - Vibrations of axially moving strings with in-plane oscillating supports

AU - Fuglede,Niels

AU - Thomsen,Jon Juel

N1 - 1st International Colloquium on Time-periodic Systems

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

M3 - Conference abstract for conference

ER -