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Index Type : Diğer Hakemli Dergi ✕Department : Uygulamalı Matematik ... ✕
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Variational Formulation Of A Boundary-value Problem Corresponding To Forced Vibration Of An Imperfectly Bonded Bi-layered Plate-strip Resting On A Rigid Foundation

Elman HAZAR | Dağıstan ŞİMŞEK | Asan ÖMÜRALİEV | Burak OĞUL | Ella ABILAYEVA | Peyil Esengul Kızı

In the present study, a boundary-value problem corresponding to forced vibration of an imperfectly bonded bi-layered plate-strip resting on a rigid foundation is considered. In the framework of three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modelling of considered problem is given. Then, the variational formulation of the problem considered is obtained in the framework of the principles of calculus of variation. The problem considered differs from the previous studies in the view of imperfect boundary conditions between the layers of the pla ...More

Article 2015 Fen Fakültesi MANAS Journal of Engineering (MJEN)3 ( 2 ) 123 Views
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On A Class Of Recursive Sequence

Dağıstan ŞİMŞEK | Ahmet DOĞAN

In this paper, we study the following type of a recursive sequence where p ≥ 2, k ≥ 1 are fixed integers, with the initial values x(n) > 0 for n = -pk 1,-pk 2,…,0. Our results generalize some results in the literature. We give illustrating examples of which solutions are calculated and plotted by the MatLab programming. - Keywords: Convergence, pk periodic solution, recursive sequence.

Article 2014 Fen Fakültesi MANAS Journal of Engineering (MJEN)2 ( 1 ) 103 Views
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Solutions Of The System Of Maximum Difference Equations = Maksimumlu Fark Denklem Sisteminin Çözümleri

Dağıstan ŞİMŞEK | Ahmet DOĞAN

The behaviour of the solutions of the following system of difference equations is examined. - Keywords: Difference Equation, Maximum Operations, Semicycle

Article 2014 Fen Fakültesi MANAS Journal of Engineering (MJEN)2 ( 2 ) 134 Views
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Three–dimensional Stability Loss Problems Of Local Near-surface Buckling Of A System Consisting Of An Elastıc Bond Layer And An Elastic Covering Layer

Elman HAZAR

Within the framework of a piecewise homogenous body model and by the use of a three-dimensional linearized theory of stability (TLTS), the local near-surface buckling of a material system consisting of a half-space which is covered by the single layer and half-space materials is elastic. The equations of TLTS are obtained from the three-dimensional geometrically nonlinear equations of the theory of viscoelasticity by using the boundary form perturbations technique. By employing the Laplace and Fourier transform, a method for solving the problem is developed. Numerical results on the critical c ...More

Article 2014 Fen Fakültesi MANAS Journal of Engineering (MJEN)2 ( 2 ) 73 Views
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