Analytical and experimental investigation of modal disparity

LAUR Repository

Show simple item record

dc.contributor.author Issa, Jimmy
dc.contributor.author Mukherjee, Ranjan
dc.contributor.author Diaz, Alejandro
dc.contributor.author Shaw, Steven
dc.date.accessioned 2017-06-28T06:33:49Z
dc.date.available 2017-06-28T06:33:49Z
dc.date.issued 2017-06-28
dc.identifier.isbn 0-7918-4303-3 en_US
dc.identifier.uri http://hdl.handle.net/10725/5840
dc.description.abstract This paper describes an analytical and experimental investigation on the property of modal disparity in a vibrating structure. For a given structure, the concept of modal disparity describes its ability to generate significant changes in the mode shapes by some type of on-the-fly structural modification. In the present study we consider a vibrating beam that experiences a controlled stiffness change, induced by the activation and deactivation of an electromagnetic brake. The beam has two stiffness states corresponding to the two states of the brake. The mechanisms of braking and brake release are mathematically modeled using the principle of impulse and momentum and a finite element model of the beam that adequately describes both stiffness states is developed. The transformation matrix which maps the modal displacements and velocities between the two stiffness states is derived and it is shown that this matrix is a measure of modal disparity, i.e., how well energy can be redistributed between the modes. Experiments were conducted to validate energy redistribution between modes through stiffness variation. A clamped-clamped aluminum beam with a hinge and built-in electromagnetic brake was used for the experiments. A piezoelectric strain sensor was used for sensing and a pair of piezoelectric transducers were used for excitation. It is shown that significant amounts of energy can be shifted back and forth between different sets of modes in a systematic and predictable manner. This confirmation of modal disparity for a specific structural system opens the door for a number of potential applications in passive and active control of vibrating structures. en_US
dc.language.iso en en_US
dc.publisher ASME en_US
dc.title Analytical and experimental investigation of modal disparity 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 Momentum en_US
dc.keywords Aluminum en_US
dc.keywords Doors en_US
dc.keywords Hinges en_US
dc.keywords Impulse (Physics) en_US
dc.keywords Piezoelectric transducers en_US
dc.keywords Braking en_US
dc.keywords Finite element model en_US
dc.keywords Shapes en_US
dc.keywords Stiffness en_US
dc.identifier.doi http://dx.doi.org/10.1115/IMECE2007-42099 en_US
dc.identifier.ctation Issa, J., Mukherjee, R., Diaz, A., & Shaw, S. (2007, January). Analytical and Experimental Investigation of Modal Disparity. In ASME 2007 International Mechanical Engineering Congress and Exposition (pp. 81-88). American Society of Mechanical Engineers. en_US
dc.author.email jimmy.issa@lau.edu.lb en_US
dc.conference.date November 11–15, 2007 en_US
dc.conference.place Seattle, Washington, USA en_US
dc.conference.title ASME 2007 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=1600070 en_US
dc.author.affiliation Lebanese American University en_US
dc.relation.numberofseries 9 en_US
dc.title.volume Mechanical Systems and Control, Parts A, B, and C en_US

Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search LAUR

Advanced Search


My Account