Yazar "Deneme, Ibrahim Ozgur" seçeneğine göre listele

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    An Efficient Numerical Method for Free and Forced Vibrations of Timoshenko Beams with Variable Cross-Section
    (Springer Science and Business Media Deutschland GmbH, 2024) Deneme, Ibrahim Ozgur; Calim, Faruk Fırat
    In this study, the dynamic behaviour of beams with variable cross-sections subjected to time-dependent loads is analyzed using the Complementary Functions Method (CFM). The material of the rod is assumed to be homogeneous, linear elastic, and isotropic. The governing equation is derived based on the Timoshenko beam theory. The axial, shear deformations and cross-section non-uniformity are also taken into account in the formulation. Ordinary differential equations in scalar form obtained in the Laplace domain are solved numerically using the complementary functions method. The obtained solutions are transformed into real space using the modified Durbin's numerical inverse Laplace Transform (LT) method. Free vibration is considered as a special case of forced vibration. Both vibration types of non-uniform beams are calculated for various examples with various Boundary Conditions (BCs). The influence of the non-uniformity parameter in the cross-section on free and forced vibrations is examined, and the obtained results demonstrate good agreement with existing literature ones and ANSYS. © The Author(s), under exclusive licence to Shiraz University 2024.
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    Öğe
    Free and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory
    (Techno-Press, 2024) Ozbey, Mehmet Bugra; Cuma, Yavuz Cetin; Deneme, Ibrahim Ozgur; Calim, Faruk Firat
    This paper investigates the dynamic behavior of a simply supported viscoelastic plate made of functionally graded carbon nanotube reinforced composite under dynamic loading. Carbon nanotubes are distributed in 5 different shapes: U, V, A, O and X, depending on the shape they form through the thickness of the plate. The displacement fields are derived in the Laplace domain using a higher -order shear deformation theory. Equations of motion are obtained through the application of the energy method and Hamilton's principle. The resulting equations of motion are solved using Navier's method. Transforming the Laplace domain displacements into the time domain involves Durbin's modified inverse Laplace transform. To validate the accuracy of the developed algorithm, a free vibration analysis is conducted for simply supported plate made of functionally graded carbon nanotube reinforced composite and compared against existing literature. Subsequently, a parametric forced vibration analysis considers the influence of various parameters: volume fractions of carbon nanotubes, their distributions, and ratios of instantaneous value to retardation time in the relaxation function, using a linear standard viscoelastic model. In the forced vibration analysis, the dynamic distributed load applied to functionally graded carbon nanotube reinforced composite viscoelastic plate is obtained in terms of double trigonometric series. The study culminates in an examination of maximum displacement, exploring the effects of different carbon nanotube distributions, volume fractions, and ratios of instantaneous value to retardation times in the relaxation function on the amplitudes of maximum displacements.