Energy Dissipation in Dynamical Systems Through Sequential Application and Removal of Constraints

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dc.contributor.author Issa, Jimmy
dc.contributor.author Mukherjee, Ranjan
dc.contributor.author Diaz, Alejandro
dc.date.accessioned 2016-06-07T07:06:14Z
dc.date.available 2016-06-07T07:06:14Z
dc.date.copyright 2009 en_US
dc.date.issued 2016-06-07
dc.identifier.issn 0022-0434 en_US
dc.identifier.uri http://hdl.handle.net/10725/3961
dc.description.abstract A strategy to remove energy from finite-dimensional elastic systems is presented. The strategy is based on the cyclic application and removal of constraints that effectively remove and restore degrees of freedom of the system. In general, application of a constraint removes kinetic energy from the system, while removal of the constraint resets the system for a new cycle of constraint application. Conditions that lead to a net loss in kinetic energy per cycle and bounds on the amount of energy removed are presented. In linear systems, these bounds are related to the modes of the system in its two states, namely, with and without constraints. It is shown that energy removal is always possible, even using a random switching schedule, except in one scenario, when energy is trapped in modes that span an invariant subspace with special orthogonality properties. Applications to nonlinear systems are discussed. Examples illustrate the process of energy removal in both linear and nonlinear systems. en_US
dc.language.iso en en_US
dc.title Energy Dissipation in Dynamical Systems Through Sequential Application and Removal of Constraints en_US
dc.type Article en_US
dc.description.version Published 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.relation.journal Journal of Dynamic Systems, Measurement, and Control en_US
dc.journal.volume 131 en_US
dc.journal.issue 2 en_US
dc.identifier.doi http://dx.doi.org/10.1115/1.3023126 en_US
dc.identifier.ctation Issa, J., Mukherjee, R., & Diaz, A. R. (2009). Energy dissipation in dynamical systems through sequential application and removal of constraints. Journal of Dynamic Systems, Measurement, and Control, 131(2), 021011. en_US
dc.author.email jimmy.issa@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://dynamicsystems.asmedigitalcollection.asme.org/article.aspx?articleid=1476013 en_US

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