Vibration Absorber for Spring-Mass System Using a Hanging Heavy Column with Rotationally Restrained End
Publication: Journal of Engineering Mechanics
Volume 146, Issue 4
Abstract
For suppression of vibration of structures modeled by a spring-mass system, we propose an innovative vibration absorber comprising a hanging heavy column attached to the mass by a pinned joint with an elastic rotational spring. The governing equation of the vibrating heavy column is derived and solved using the shooting-optimization method for the vibration amplitude of the spring-mass system under an oscillatory force. The validity of the theoretical formulation is confirmed by comparing the computed results with existing solutions for the special case of a hanging heavy column with its end fully fixed to the mass. An example is given to demonstrate the reduction of the vibration amplitude of the spring-mass system under a given exciting forcing frequency. It can be shown that one can achieve a zero amplitude of vibration of the spring-mass system by choosing a rotational spring stiffness that will tune the frequency of the hanging heavy column to the exciting frequency of the driving force.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions. The calculation codes of this study are proprietary.
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Information
Published In
Journal of Engineering Mechanics
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: May 18, 2019
Accepted: Oct 17, 2019
Published online: Feb 4, 2020
Published in print: Apr 1, 2020
Discussion open until: Jul 4, 2020
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