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      • KCI등재

        Static stability analysis of axially functionally graded tapered micro columns with different boundary conditions

        Bekir Akgöz 국제구조공학회 2019 Steel and Composite Structures, An International J Vol.33 No.1

        In the present study, microstructure-dependent static stability analysis of inhomogeneous tapered micro-columns is performed. It is considered that the micro column is made of functionally graded materials and has a variable cross-section. The material and geometrical properties of micro column vary continuously throughout the axial direction. Euler-Bernoulli beam and modified couple stress theories are used to model the nonhomogeneous micro column with variable cross section. Rayleigh-Ritz solution method is implemented to obtain the critical buckling loads for various parameters. A detailed parametric study is performed to examine the influences of taper ratio, material gradation, length scale parameter, and boundary conditions. The validity of the present results is demonstrated by comparing them with some related results available in the literature. It can be emphasized that the size-dependency on the critical buckling loads is more prominent for bigger length scale parameter-to-thickness ratio and changes in the material gradation and taper ratio affect significantly the values of critical buckling loads.

      • KCI등재

        Application of strain gradient elasticity theory for buckling analysis of protein microtubules

        Bekir Akgöz,Ömer Civalek 한국물리학회 2011 Current Applied Physics Vol.11 No.5

        In this paper, size effect of microtubules (MTs) is studied via modified strain gradient elasticity theory for buckling. MTs are modeled by Bernoulli―Euler beam theory. By using the variational principle, the governing equations for buckling and related boundary conditions are obtained in conjunctions with the strain gradient elasticity. The size effect for buckling analysis of MTs is investigated and results are presented in graph form. The results obtained by strain gradient elasticity theory are discussed through the numerical simulations. The results based on the modified couple stress theory, nonlocal elasticity theory and classical elasticity theories have been also presented for comparison purposes.

      • KCI등재후보

        Nonlinear vibration analysis of laminated plates restingon nonlinear two-parameters elastic foundations

        Bekir Akgöz,Ömer Civalek 국제구조공학회 2011 Steel and Composite Structures, An International J Vol.11 No.5

        In the present manuscript, geometrically nonlinear free vibration analysis of thin laminated plates resting on non-linear elastic foundations is investigated. Winkler-Pasternak type foundation model is used. Governing equations of motions are obtained using the von Karman type nonlinear theory. The method of discrete singular convolution is used to obtain the discretised equations of motion of plates. The effects of plate geometry, boundary conditions, material properties and foundation parameters on nonlinear vibration behavior of plates are presented.

      • KCI등재

        Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity

        Bekir Akgöz,Ö mer Civalek 국제구조공학회 2013 Structural Engineering and Mechanics, An Int'l Jou Vol.48 No.2

        The buckling problem of linearly tapered micro-columns is investigated on the basis of modified strain gradient elasticity theory. Bernoulli-Euler beam theory is used to model the non-uniform micro column. Rayleigh-Ritz solution method is utilized to obtain the critical buckling loads of the tapered cantilever micro-columns for different taper ratios. Some comparative results for the cases of rectangular and circular cross-sections are presented in graphical and tabular form to show the differences between the results obtained by modified strain gradient elasticity theory and those achieved by modified couple stress and classical theories. From the results, it is observed that the differences between critical buckling loads achieved by classical and those predicted by non-classical theories are considerable for smaller values of the ratio of the micro-column thickness (or diameter) at its bottom end to the additional material length scale parameters and the differences also increase due to increasing of the taper ratio.

      • KCI등재

        Static Analysis of Laminated Conical Shells by Discrete Singular Convolution (DSC) Approach

        Hakan Ersoy,Bekir Akgöz,Ö mer Civalek 대한토목학회 2014 KSCE JOURNAL OF CIVIL ENGINEERING Vol.18 No.5

        Static analyses of laminated conical and cylindrical shell are presented. The governing equation is derived using Love’s firstapproximation thin shell theory for conical geometry. Then, the method of Discrete Singular Convolution (DSC) is applied to thesolution of the resulting governing equation and boundary conditions for bending. Numerical results for stress and deflections oflaminated conical and cylindrical shells are presented for different geometric and material parameters. The numerical results showthat the present method is quite easy to implement, accurate and efficient for the problems considered.

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