
Erol DemirkanIstanbul Technical University · Department of Civil Engineering
Erol Demirkan
Doctor of Philosophy
About
12
Publications
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17
Citations
Introduction
Additional affiliations
March 2021 - present
January 2015 - September 2020
September 2014 - January 2015
Education
September 2014 - September 2020
September 2009 - June 2012
September 2006 - June 2009
Publications
Publications (12)
This study investigates the vibration of isotropic shear beams (ISBs) using the unified shear deformation theory for various shear stress distribution functions. The governing differential equations and boundary conditions are obtained using the principle of virtual work. Using the initial values method, the first five frequencies for various end c...
The main purpose of this study is to analyze a porous beam, whose nodes are formed with a certain conditioned random function, with the numerical solution and Artificial Neural Network (ANN) approach. The free vibration frequencies of the porous beam were first calculated numerically. Then, the data of randomly generated beams were used to train th...
This study investigates the free vibration characteristics of functionally graded material (FGM) plates through both analytical solutions and machine learning (ML) approaches. Starting with deriving equilibrium equations for FGM plates via Hamilton's principle, we accurately determine their natural frequencies under various conditions. Subsequently...
Presented herein is the free vibration analysis of functionally graded beams (FGMs) via higher-order shear deformation theory and an artificial neural network method (ANN). The transverse displacement (w) is expressed as bending (w b) and shear (w s) components to define the deformation of the beam. The higher-order variation of the transverse shea...
In this study, the slope deflection method was presented for structures made of small-scaled axially functionally graded beams with a variable cross section within the scope of nonlocal elasticity theory. The small-scale effect between individual atoms cannot be neglected when the structures are small in size. Therefore, the theory of nonlocal elas...
The problem of buckling has always been an important issue in engineering. It is a substantial element to take care of in order to ensure the safety of structures. Buckling problems are calculated by the solution of differential methods. However, the solution of these equations is not easy. Hence, the buckling loads are easily calculated by using t...
The use of glass units as facade cladding in modern buildings has become a common practice. These units are generally formed as double or triple plates by dry air or another gas (argon, etc.) between the plates to provide heat insulation. This makes the engineering design under the wind and thermal loading difficult, since one must consider the for...
Investigated herein is the buckling of nanobeams based on a nonlocal Timoshenko beam model by the method of initial values within the framework of nonlocal elasticity. Since the nonlocal Timoshenko beam theory is of higher order than the nonlocal Euler–Bernoulli beam theory, it is known to be superior in predicting the small-scale effect. The buckl...
The use of glass for exterior façade has been becoming increasingly popular, as it offers more light to the inhabitants and gives an aesthetic view to the building itself. Due to the increase in glass demand, sophisticated engineering analysis comes into question in the design for optimization purposes. It is a well-known fact that, accounting for...
Plates are widely used structures with one size being much smaller than two others. It is known that the loads on the plates are perpendicular to the plate surface. In today's structures, annular plates are designed according to the purpose of use such as storage tanks, machine industry and many engineering areas. In this study, numerical large def...
The general assumption is that stiffness matrix is constant in structures. But if the loads increase, deformation-load curve becomes nonlinear. The aim of this study is to analyze the vibration of a structure under these facts. The chosen sample problem is a steel single storey frame with a horizontal force. At first, classical stiffness matrix is...
In general it is assumed that stiffness matrix remains constant in dynamic analysis of structures. However, this is not completely correct. The deformations of structure increase with increasing loads. All of these deformations are not elastic which totally recover when the loads decrease. Permanent or plastic deformations are the reason of the var...