Optimal boundary control for a second strain gradient theory-based beam model

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dc.contributor.authorGöktepe Körpeoğlu, Seda
dc.contributor.authorKüçük, İsmail
dc.contributor.authorYıldırım, Kenan
dc.date.accessioned2024-06-13T20:18:42Z
dc.date.available2024-06-13T20:18:42Z
dc.date.issued2019
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractThe second strain gradient theory is a non-classical continuum theory that captures the behavior of micrometer and nanometer sized beam structures. Timoshenko and Euler-Bernoulli theories are classical beam models that neglect the effects of small size structures when compared to the second strain gradient theory-based beam model. In this study, an optimal boundary control problem is formulated for the second strain gradient theory-based beam model to control free vibrations in the system. A quadratic performance index expressing the dynamic response of the system is to be minimized while an affordable control is in use. An indirect method based on Pontryagin's maximum principle is used to derive a necessary condition analytically for optimal control. Then, the problem is transformed into a system of partial differential equations consisting of state and costate (adjoint) variables together. The solution of the control problem is carried out using the computer codes produced in MATLAB (c). The effectiveness and competence of the introduced optimal boundary control are presented in numerical simulations.
dc.identifier.endpage1288
dc.identifier.issn1304-7205
dc.identifier.issn1304-7191
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85101637794
dc.identifier.scopusqualityQ3
dc.identifier.startpage1277
dc.identifier.urihttps://hdl.handle.net/11501/1506
dc.identifier.urihttps://dergipark.org.tr/en/pub/sigma/issue/65442/1010473
dc.identifier.volume37
dc.identifier.wosWOS:000505058700018
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGöktepe Körpeoğlu, Seda
dc.institutionauthorid0000-0001-7146-0846
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSecond Strain Gradient Theory-Based Beam
dc.subjectBoundary Control
dc.subjectMaximum Principle
dc.subjectVibration
dc.titleOptimal boundary control for a second strain gradient theory-based beam model
dc.typeArticle

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