OPTIMAL BOUNDARY CONTROL FOR A SECOND STRAIN GRADIENT THEORY-BASED BEAM MODEL

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dc.contributor.authorKörpeoğlu, Seda Göktepe
dc.contributor.authorKucuk, Ismail
dc.contributor.authorYıldırım, Kenan
dc.date.accessioned2025-02-09T14:36:40Z
dc.date.available2025-02-09T14:36:40Z
dc.date.issued2019
dc.departmentİstanbul Gedik Üniversitesi
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©. The effectiveness and competence of the introduced optimal boundary control are presented in numerical simulations.
dc.identifier.endpage1292
dc.identifier.issn1304-7191
dc.identifier.issn1304-7205
dc.identifier.issue4
dc.identifier.startpage1280
dc.identifier.urihttps://hdl.handle.net/11501/2025
dc.identifier.volume37
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250209
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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