DETERMINATION OF OPTIMAL ELASTIC SPRINGS FOR CANTILEVER BEAMS SUPPORTED BY ELASTIC FOUNDATION

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dc.authoridOZTURK, Baki/0000-0002-2319-0447
dc.contributor.authorAydin, E.
dc.contributor.authorOzturk, B.
dc.contributor.authorDutkiewicz, M.
dc.date.accessioned2024-11-07T13:23:54Z
dc.date.available2024-11-07T13:23:54Z
dc.date.issued2018
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description24th International Conference on Engineering Mechanics -- MAY 14-17, 2018 -- Svratka, CZECH REPUBLIC
dc.description.abstractIn this study, the optimum distribution of the elastic springs in which a built-in cantilever beam is seated, so as to minimize the shear force on the support of the beam, is investigated. The Fourier transform is applied to the vibration equation of the beam written in the time domain and is shown by the structural behaviour transfer function which is made independent from the external influence. For the first and second modes of beam, the optimum locations and amounts of the springs were investigated so that the shear force transfer function amplitude was minimal. Stiffness coefficients of springs are taken as design variables. There are active constraints on the sum of the spring coefficients taken as design variables and passive constraints on each of them as the upper and lower bounds. Optimality criteria are derived using the Lagrange Multipliers method. The gradient information required for solving the optimization problem is analytically derived. Numerical results show that the aimed method is quite effective in finding optimum spring stiffness coefficients.
dc.identifier.doi10.21495/91-8-33
dc.identifier.endpage36
dc.identifier.isbn978-80-86246-91-8
dc.identifier.issn1805-8248
dc.identifier.issn1805-8256
dc.identifier.startpage33
dc.identifier.urihttps://doi.org/10.21495/91-8-33
dc.identifier.urihttps://hdl.handle.net/11480/13791
dc.identifier.wosWOS:000465489800008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAcad Sci Czech Republic, Inst Theoretical & Applied Mechanics
dc.relation.ispartofEngineering Mechanics 2018 Proceedings, Vol 24
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectoptimal springs
dc.subjectshear force minimization
dc.subjectbeam vibration
dc.subjectoptimal stiffness
dc.subjecttransfer functions
dc.titleDETERMINATION OF OPTIMAL ELASTIC SPRINGS FOR CANTILEVER BEAMS SUPPORTED BY ELASTIC FOUNDATION
dc.typeConference Object

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