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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 717543, 12 pages
http://dx.doi.org/10.1155/2012/717543
Research Article

Nonlinear Response of Vibrational Conveyers with Nonideal Vibration Exciter: Superharmonic and Subharmonic Resonance

1Yıldız Technical University, 34349 Istanbul, Turkey
2Yeditepe University, 34755 Istanbul, Turkey

Received 17 October 2011; Accepted 24 November 2011

Academic Editor: Swee Cheng Lim

Copyright © 2012 H. Bayıroğlu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Vibrational conveyers with a centrifugal vibration exciter transmit their load based on the jumping method. Common unbalanced-mass driver oscillates the trough. The motion is strictly related to the vibrational parameters. The transition over resonance of a vibratory system, excited by rotating unbalances, is important in terms of the maximum vibrational amplitude produced and the power demand on the drive for the crossover. The mechanical system is driven by the DC motor. In this study, the working ranges of oscillating shaking conveyers with nonideal vibration exciter have been analyzed analytically for superharmonic and subharmonic resonances by the method of multiple scales and numerically. The analytical results obtained in this study agree well with the numerical results.