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, 27/08/12 - 30/08/12,

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",
author = "Niels Fuglede and Thomsen, {Jon Juel}",
note = "1st International Colloquium on Time-periodic Systems",
year = "2012",
type = "ConferencePaper <importModel: ConferenceImportModel>",

}

RIS

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 -