Research Papers

Parametric Instability of an Axially Moving Belt Subjected to Multifrequency Excitations: Experiments and Analytical Validation

[+] Author and Article Information
Guilhem Michon

 Université de Toulouse, ISAE DMSM, 10 Avenue Edouard Belin, 31055 Toulouse, Franceguilhem.michon@isae.fr

Lionel Manin

LaMCoS, INSA-Lyon, CNRS UMR5259, F69621, Francelionel.manin@insa-lyon.fr

Didier Remond

LaMCoS, INSA-Lyon, CNRS UMR5259, F69621, Francedidier.remond@insa-lyon.fr

Regis Dufour

LaMCoS, INSA-Lyon, CNRS UMR5259, F69621, Franceregis.dufour@insa-lyon.fr

Robert G. Parker

Department of Mechanical Engineering, The Ohio State University, 650 Ackerman Road, Columbus, OH 43202parker.242@osu.edu

J. Appl. Mech 75(4), 041004 (May 13, 2008) (8 pages) doi:10.1115/1.2910891 History: Received November 15, 2006; Revised March 03, 2008; Published May 13, 2008

This paper experimentally investigates the parametric instability of an industrial axially moving belt subjected to multifrequency excitation. Based on the equations of motion, an analytical perturbation analysis is achieved to identify instabilities. The second part deals with an experimental setup that subjects a moving belt to multifrequency parametric excitation. A data acquisition technique using optical encoders and based on the angular sampling method is used with success for the first time on a nonsynchronous belt transmission. Transmission error between pulleys, pulley/belt slip, and tension fluctuation are deduced from pulley rotation angle measurements. Experimental results validate the theoretical analysis. Of particular note is that the instability regions are shifted to lower frequencies than the classical ones due to the multifrequency excitation. This experiment also demonstrates nonuniform belt characteristics (longitudinal stiffness and friction coefficient) along the belt length that are unexpected sources of excitation. These variations are shown to be sources of parametric instability.

Copyright © 2008 by American Society of Mechanical Engineers
Topics: Belts , Tension
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Figure 1

Experimental setup for parametrically excited moving belt drive

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Figure 2

Example of instability in slack belt span

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Figure 3

Angular sampling principle

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Figure 6

Total (a) and residual (b) transmission error versus time

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Figure 7

Belt tension and transmission error angular top-view waterfall as a function of rotation speed

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Figure 8

Experimental setup for the local belt characteristics identification

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Figure 9

Dimensionless damping evolution along the belt length Ci∕Cmax

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Figure 10

Experimental angular top-view waterfall: (a) transverse vibration, (b) belt tension fluctuation, (c) belt speed fluctuation

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Figure 11

Instability region. Model (solid line) and experiment (stars).

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Figure 12

Experimental classical Campbell-like diagram top-view waterfall: transverse vibration (a), belt tension fluctuation (b), belt speed fluctuation (c)

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Figure 4

Angular resampling method (a) and time resampling method (b)

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Figure 5

Campbell diagrams in (a) time and (b) angular frequency domain




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