Person: KAHYA, ÇAĞLAR
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Publication Damped vibration analysis of cracked Timoshenko beams with restrained end conditions(Springer, 2020-08-24) Pala, Yaşar; Beyçimen, Semih; Kahya, Çağlar; PALA, YAŞAR; BEYÇİMEN, SEMİH; KAHYA, ÇAĞLAR; Bursa Uludağ Üniversitesi/Mühendislik Fakültesi/Makine Mühendisliği Bölümü; 0000-0002-0213-3718; FPX-5866-2022; CXU-5149-2022; DVC-6443-2022Damped vibration of a cracked Timoshenko beam with ends supported with damper, linear and rotational springs is investigated. Frequencies in complex forms have been obtained for both cracked Euler-Bernoulli and Timoshenko beams. Depending upon the crack-depth and crack-location, frequencies have been tabulated in each case. The results have also been compared in terms of the ratio of the beam depth to the beam length. Modal shapes for various conditions have also been plotted.Publication Free vibration analysis of elastically restrained cantilever timoshenko beam with attachments(Pamukkale Üniversitesi, 2023-01-01) Pala, Yaşar; Kahya, Çağlar; PALA, YAŞAR; KAHYA, ÇAĞLAR; Bursa Uludağ Üniversitesi/Mühendislik Fakültesi/Makine Mühendisliği Bölümü; 0000-0003-0358-1958; 0000-0002-0722-7094; AAH-3919-2021; FPX-5866-2022This paper investigates the lateral vibration of a cantilever Timoshenko beam with attachments. It is assumed that the beam carries a mass attached to the free end with a linear spring and there exists a rotational spring at the left end. Depending upon these assumptions, mode shapes and natural frequencies are obtained in terms of non -dimensional parameters which describe the effects of additional mass, linear spring and rotational spring. The results are tabulated, and the comparison of Timoshenko and Euler-Bernoulli beam approaches are carried out for some parameters. Results reveal that natural frequencies decrease while the values of end mass increase. Large values of the rotational spring constant cause high natural frequencies.Publication A method based on riccati equation for the vibration analysis of rods with variable cross-sections(World Scientific Publ Co Pte Ltd, 2022-09-15) PALA, YAŞAR; Kahya, Çağlar; KAHYA, ÇAĞLAR; Bursa Uludağ Üniversitesi/Mühendislik Fakültesi/Makine Mühendisliği Bölümü.; AAH-3919-2021In this study, the longitudinal vibration of rods with variable cross-sections is studied. For the analytical solution of the problem, a new analytical method based on a recently developed method on the Riccati differential equation is utilized. The governing equation is reduced to Hill's type second-order ordinary differential equation. The transformed equations can readily be solved analytically for various cases according to the method. Seven cases have been considered, and the frequency equations for each case have been obtained. According to the method developed, the problem is solved in the simplest way. By using the present method, the reader can readily decide whether the problem is solved analytically or numerically. The present method can solve the problem of longitudinal vibration of rods having cross-sections of arbitrary shape. Finally, the method is also applied to the longitudinal vibration of stepped rods. Mode shapes are plotted for special values.