Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis Displacement Analysis of Non-Circular Planar Curved Beams Under In-Plane Impulsive Load(Izmir Institute of Technology, 2015) Çelik, Ahmet; Yardımoğlu, BülentIn this study, time response of a planar curved beam with variable curvatures under in-plane impact load is analyzed by two numerical methods which are Finite Difference and Finite Element Methods. The solution procedures in both methods are based on solution of eigenvalue and time response problems. Catenary form is selected as the axis of curved beam. A computer program is developed in Mathematica for the solution with Finite Difference Method. Moreover, a computer code is written for the geometric and finite element models of curved beam with variable curvature in ANSYS by using APDL (ANSYS Parametric Design Language). Solutions of the two methods are compared in each other and then good agreement is observed. The effects of impuls and damping properties on the time response are investigated.Master Thesis Vibration Analysis of Rotating Curved Beams With Variable Cross-Section(Izmir Institute of Technology, 2014) Kartav, Osman; Yardımoğlu, BülentIn this study, in-plane free vibration characteristics of rotating curved beams are investigated by Finite Difference Method and Finite Element Method since the mathematical model of the present problem is based on the differential eigenvalue problem with variable coefficients. A computer program regarding the titled problem is developed in Mathematica and this program is verified by using results available in the literature. The effects of taper parameters of the curved beam and rotation speed on natural frequencies are investigated.Master Thesis Free Vibration Analysis of Curved Beams With Variable Radii of Curvature on Elastic Foundations(Izmir Institute of Technology, 2013) Çelebi, Sanal; Yardımoğlu, BülentFree out of plane vibration characteristics of curved beams with variable curvature on elastic foundation are studied by Finite Difference Method (FDM) since the mathematical model of the present system based on the coupled differential eigenvalue problem with variable coefficients. Firstly, vibrations of beams on different elastic foundations are reviewed. Then, out of plane vibrations of curved beams on different elastic foundations are investigated. FDM is detailed for this study. To solve the coupled differential eigenvalue problem, FDM is examined with several computer programs developed in Mathematica. The effects of curvature of the curved beams and elastic foundation parameters on natural frequencies are investigated. The accuracy of the present results obtained from the developed program is evaluated by comparing with FEM results found from model created in ANSYS.
