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- MakaleYalnız künye2019Differential Equation Characterizing Spherical Curves in E n and Solution of This Equation
Aydın, Tuba Ağırman; Sezer, Mehmet
In this study, we considered an n th order linear differential equation with variable coefficients characterizing spherical curves according to Frenet frame in Euclidean n-Space E n . This equation whose coefficients are related to special function, curvature and torsion, is satisfied by the position vector of any regular unit velocity spherical curve. These type equations are generally impossible to solve analytically and so, for approximate solution we presented a numerical method based on Taylor polynomials and collocations points by using initial conditions. Our method reduces the solution of problem to the solution of a system of algebraic equations and the approximate solution is obtained in terms of Taylor polynomials.
- MakaleAçık Erişim2018Vibration Analysis of a Cantilever Composite Beam by Equivalent MassSpring-Damper Systems
Uyar, Mehmet; Malgaca, Levent; Yavuz, Sahin; Karagülle, Hira
Composite materials are widely used in industrial structures such as manipulators because they are lightweight and durable. In this work, the vibration analysis of a cantilever composite beam with [0/90] lay-up was studied. An end point mass was added to the structure. An initial displacement was applied to the end point and the free vibration was analyzed experimentally first. Exponential decay was found. Natural frequencies were determined by taking the Fast Fourier Transform of the vibration signal. The system was analyzed in ANSYS and simulation results were obtained. The damping coefficient was determined by trial using the experimental exponential decay. An equivalent massspring-damper model (MSD) was established using static deflection, natural frequency and exponential decay obtained experimentally or by simulation. MSD-analytical results were obtained by the Laplace transform method. The experimental, simulation, and analytical results were compared for different end point initial displacement values. It was observed that the results are in good agreement.
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İncele - MakaleYalnız künye2018The Effect of Using Peer Instruction Technique on the Students’ Achivement Levels in Teaching 7th Grade Light Topic
Yarimkaya, Derya; Töman, Ufuk
: The purpose of this study is to examine whether the use of peer instruction techniques on light has an effect on the achievement levels of Grade 7 students. Study design, single group pretest - posttest semi-experimental model. 62 students studying in 7 / A, 7 / B and 7C classes in a private secondary school in Kecioren district of Ankara province (Female: 38, Male: 24) participated in the study. As a classmate, 5 students who try to run it in a class are doing it as "Teacher Peer". Prior to the specified opportunity, the process of training as a peer who taught in 5 sessions in terms of 40 's was realized. Teaching peer education program is to carry out "Light" with peer instruction for 4 weeks in all three classes. Study data, Achievement Award given by Sayın (2015). The factor to achieve this study is to put forward
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