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        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.

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        Numerical approaches for vibration response of annular and circular composite plates

        Ali Kemal Baltacıoğlu,Ö mer Civalek 국제구조공학회 2018 Steel and Composite Structures, An International J Vol.29 No.6

        In the present investigation, by using the two numerical methods, free vibration analysis of laminated annular and annular sector plates have been studied. In order to obtain the main equations two different shell theories such as Love's shell theory and first-order shear deformation theory (FSDT) have been used for modeling. After obtaining the fundamental equations in briefly, the methods of harmonic differential quadrature (HDQ) and discrete singular convolution (DSC) are used to solve the equation of motion. Accuracy, convergence and reliability of the present HDQ and DSC methods were tested by comparing the existing results obtained by different methods in the literature. The effects of some geometric and material properties of the plates are investigated via these two methods. The advantages and accuracy of the HDQ and DSC methods have also been examined with different grid numbers and shell theory. Some results for laminated annular plates and laminated circular plates were also been supplied.

      • 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.

      • KCI등재

        Buckling analysis of graphene oxide powder-reinforced nanocomposite beams subjected to non-uniform magnetic field

        Farzad Ebrahimi,Mostafa Nouraei,Ali Dabbagh,Ö mer Civalek 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.71 No.4

        Present article deals with the static stability analysis of compositionally graded nanocomposite beams reinforced with graphene oxide powder (GOP) is undertaken once the beam is subjected to an induced force caused by nonuniform magnetic field. The homogenized material properties of the constituent material are approximated through Halpin-Tsai micromechanical scheme. Three distribution types of GOPs are considered, namely uniform, X and O. Also, a higher-order refined beam model is incorporated with the dynamic form of the virtual work’s principle to derive the partial differential motion equations of the problem. The governing equations are solved via Galerkin’s method. The introduced mathematical model is numerically validated presenting a comparison between the results of present work with responses obtained from previous articles. New results for the buckling load of GOP reinforced nanocomposites are presented regarding for different values of magnetic field intensity. Besides, other investigations are performed to show the impacts of other variants, such as slenderness ratio, boundary condition, distribution type and so on, on the critical stability limit of beams made from nanocomposites.

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