dc.contributor.advisor Yardimoğlu, Bülent en dc.contributor.author Kara, Ali en dc.date.accessioned 2014-07-22T13:50:45Z dc.date.available 2014-07-22T13:50:45Z dc.date.issued 2009 en dc.identifier.uri http://hdl.handle.net/11147/3034 dc.description Thesis (Master)--Izmir Institute of Technology, Mechanical Engineering, Izmir, 2009 en dc.description Includes bibliographical references (leaves: 38-39) en dc.description Text in English; Abstract: Turkish and English en dc.description xi, 39 leaves en dc.description.abstract In this study, vibration characteristics of curved beams having variable curvatures and cross-sections are investigated. For convenience and progressive requirements, vibration characteristics of curved beams having; constant curvature and cross-section, variable curvature and constant cross-section, constant curvature and variable cross-section are also examined. The governing differential equations have derivatives with variable coefficients except for constant curvature and cross-sectioned case. Due to the fact that the solutions of differential equations with variable coefficients are analytically impossible except for special combinations of coefficients, in the investigation of eigenvalues of differential equations with variable coefficients usage of a numerical solution technique becomes necessary. At this point, the Finite Difference Method (FDM) is used to have the eigenvalues by converting continuous eigenvalue problem into discrete eigenvalue problem. Numerical solutions of the equations of motion with variable coefficients based on Finite Difference Method are carried out by using a symbolic program developed in Mathematica. The accuracy and numerical precisions of the developed program are evaluated by comparing the results with the analytical results given in literature. Good agreement is obtained in the comparisons of the present results with analytical results given in tabular form. Then, the effects of selected taper and curvature functions of beams on natural frequencies are found. The results are presented in tabular and graphical forms. en dc.language.iso eng en dc.publisher Izmir Institute of Technology en dc.rights info:eu-repo/semantics/openAccess en_US dc.subject.lcc TA355 .K18 2009 en dc.subject.lcsh Vibration--Testing en dc.title In-plane vibrations of curved beams having variable curvature and cross-section en dc.type masterThesis en dc.contributor.department Izmir Institute of Technology. Mechanical Engineering en dc.relation.publicationcategory Tez en_US
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