Minimization of the amplitude of the entire span of beams using mass dampers

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dc.contributor.author Issa, Jimmy S.
dc.date.accessioned 2017-06-29T06:02:05Z
dc.date.available 2017-06-29T06:02:05Z
dc.date.issued 2017-06-29
dc.identifier.isbn 978-0-7918-5493-8 en_US
dc.identifier.uri http://hdl.handle.net/10725/5848
dc.description.abstract The aim of this work is the reduction of the steady state amplitude of harmonically forced simply supported beams using mass dampers. The considered system consists of a mass damper attached to a simply supported beam with a harmonic force applied at a given point along its span. Traditionally, passive vibration devices such as mass spring dampers or mass dampers were attached to beams and carefully designed to minimize the maximum amplitude at a given point along their span. Since minimizing the amplitude at one point of the beam might increase it at another point, in this work the maximum amplitude along the entire beam span is minimized. The problem is solved first using an approximate method. For a given mass ratio, the optimal location of the mass damper is determined first, and then the optimal damping constant is calculated. Fixed-lines of the amplitude of the entire span of the beam which are independent of the damping constant are determined. The optimal placement of the mass damper is chosen such that the maximum of these lines is minimized. Then, the optimal damping constant is obtained analytically from an average of two damping ratios corresponding each to one of the peaks of the amplitude of the entire beam span to coincide with one of the two equally leveled maxima of the fixed-lines. The optimal placement and damping constant are calculated for all possible positions of the point force on the beam. These results are compared to those obtained from an exact numerical optimization procedure. The results are written in dimensionless form and can be applied to a system with any material and geometric properties. en_US
dc.language.iso en en_US
dc.publisher ASME en_US
dc.title Minimization of the amplitude of the entire span of beams using mass dampers en_US
dc.type Conference Paper / Proceeding en_US
dc.author.school SOE en_US
dc.author.idnumber 200803943 en_US
dc.author.department Industrial And Mechanical Engineering en_US
dc.description.embargo N/A en_US
dc.keywords Dampers en_US
dc.identifier.doi http://dx.doi.org/10.1115/IMECE2011-62635 en_US
dc.identifier.ctation Issa, J. S. (2011, January). Minimization of the Amplitude of the Entire Span of Beams Using Mass Dampers. In ASME 2011 International Mechanical Engineering Congress and Exposition (pp. 317-323). American Society of Mechanical Engineers. en_US
dc.author.email jimmy.issa@lau.edu.lb en_US
dc.conference.date November 11–17, 2011 en_US
dc.conference.pages 317-323 en_US
dc.conference.place Denver, Colorado, USA en_US
dc.conference.title ASME 2011 International Mechanical Engineering Congress and Exposition en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1644358 en_US
dc.author.affiliation Lebanese American University en_US
dc.relation.numberofseries 7 en_US
dc.title.volume Dynamic Systems and Control; Mechatronics and Intelligent Machines, Parts A and B en_US

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