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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/13360

Title: Control of lateral vibrations and slopes at desired locations along vibrating beams
Authors: Foda, M.A.,
Al-Saif, K.
Keywords: Beam vibration; Greens function.; Nodes; Vibration control
Issue Date: 2009
Publisher: SAGE Publications
Citation: JVC/Journal of Vibration and Control Volume 15, Issue 11, November 2009, Pages 1649-1678
Abstract: In the present paper we develop an exact approach to annihilate lateral vibrations and slopes at chosen locations in a vibrating beam subjected to an external excitation. The proposed scheme allows certain chosen points anywhere along the beam to remain stationary with zero slopes without using any rigid supports. This is beneficial because it would allow sensitive instruments to be placed near or at these points where the transverse vibrations and tilting are eliminated. In addition, when the locations of these desired points are in the vicinity of one another, it is possible to specify a region of nearly zero amplitude and zero slope, thus drastically reducing the level of vibration in that segment of the structure and preventing its rotation. This will be achieved by attaching a set of translational and/or rotational oscillators with calculated parameters at arbitrary selected locations along the beam. The proposed procedure develops an exact analytical scheme for choosing the required oscillators parameters utilizing the dynamic Greens functions. An experimental setup, in which the vibrations of a clamped-clamped beam are measured using a laser vibrometer, was designed and the experimental measurements are compared with the analytical results. Sample of illustrative examples has been considered to verify the proposed method.
URI: http://hdl.handle.net/123456789/13360
ISSN: 10775463
Appears in Collections:College of Engineering

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