Minimum dynamic response of cantilever beams supported by optimal elastic springs

dc.contributor.authorAydin, Ersin
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2014
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this study, optimal distribution of springs which supports a cantilever beam is investigated to minimize two objective functions defined. The optimal size and location of the springs are ascertained to minimize the tip deflection of the cantilever beam. Afterwards, the optimization problem of springs is set up to minimize the tip absolute acceleration of the beam. The Fourier Transform is applied on the equation of motion and the response of the structure is defined in terms of transfer functions. By using any structural mode, the proposed method is applied to find optimal stiffness and location of springs which supports a cantilever beam. The stiffness coefficients of springs are chosen as the design variables. There is an active constraint on the sum of the stiffness coefficients and there are passive constraints on the upper and lower bounds of the stiffness coefficients. Optimality criteria are derived by using the Lagrange Multipliers. Gradient information required for solution of the optimization problem is analytically derived. Optimal designs obtained are compared with the uniform design in terms of frequency responses and time response. Numerical results show that the proposed method is considerably effective to determine optimal stiffness coefficients and locations of the springs. stiffness
dc.identifier.endpage402
dc.identifier.issn1225-4568
dc.identifier.issn1598-6217
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84904437732
dc.identifier.scopusqualityQ2
dc.identifier.startpage377
dc.identifier.urihttps://hdl.handle.net/11480/4141
dc.identifier.volume51
dc.identifier.wosWOS:000344986300002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAydin, Ersin
dc.language.isoen
dc.publisherTECHNO-PRESS
dc.relation.ispartofSTRUCTURAL ENGINEERING AND MECHANICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectoptimal stiffness
dc.subjectbeam vibrations
dc.subjecttransfer functions
dc.subjectoptimal support location
dc.subjectsupport stiffness
dc.titleMinimum dynamic response of cantilever beams supported by optimal elastic springs
dc.typeArticle

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