Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

Cívalek, Ömer; Avcar, Mehmet

doi:10.1007/s00366-020-01168-8

Cited by 164 publications

(45 citation statements)

References 157 publications

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“…Therefore in the design of columns, determination of the critical buckling loads becomes an inevitable stage. method [26][27][28], the homotopy perturbation method [28][29][30][31][32][33], Adomian decomposition method [28,34], the transfer matrix method [35][36][37][38][39], the stiffness matrix method [39], the fictitious load method [40], the modified vibration modes [41] and much more [42][43][44][45][46]. In the solution of more complex problems, some of the solution methods mentioned above may also be used in a combined manner.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix

Yıldırım

2021

International Journal of Engineering and Applied Sciences

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In this study the elastic buckling behavior of beams with rectangular cross section is studied analytically. It is assumed that both the top and bottom surfaces of the beam are ceramic coated. The aluminum (Al) is chosen as a core material while the aluminum-oxide (Al 2 O 3 ) is preferred as a liner (face) material. The transfer matrix method based on the Euler-Bernoulli beam theory is employed in the analysis. The exact transfer matrix in terms of equivalent bending stiffness is presented together with the exact buckling equations for hinged-hinged, clampedhinged, clamped-free, and finally clamped-clamped boundary conditions. After verifying the results for beams without liners, dimensionless buckling loads of the beam with ceramic liners are numerically computed for each boundary condition. The effect of the thickness of the ceramic liner on the buckling loads is also investigated. It is found that a ceramic liner enhances noticeably the buckling loads. As an additional study those effects are also examined for the ratios of elasticity modulus of face material to core material in a wide range.

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Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix

Yıldırım

2021

International Journal of Engineering and Applied Sciences

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“…Additionally, the free vibration behavior of a functionally graded beam is researched for Euler-Bernoulli, Timoshenko, Shear and Rayleigh beam theories [53]. Moreover, mechanical analyses of different continuous structures have been performed via novel numerical approaches such as discrete singular convolution and differential quadrature [54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method

Numanoğlu

2020

International Journal of Engineering and Applied Sciences

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Zinc oxide nanowires (ZnO NWs) can be used in some NEMS applications due to their remarkable chemical, physical, mechanical and thermal resistance properties. In terms of the suitability of such NEMS organizations, a correct mechanical model and design of ZnO NWs should also be established under different effects. In this study, thermal vibration analyses of elastic beam models of ZnO NWs are examined based on Eringen's nonlocal elasticity theory. The resulting equation of motion is solved with a finite element formulation developed for the atomic size-effect and thermal environment. The vibration frequencies of ZnO NWs with different boundary conditions are calculated under nonlocal parameter and temperature change values and numerical results were discussed.

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“…The generalized differential quadrature method [15][16][17][18] was used to study the behaviour of functionally graded materials and laminated doubly curved shells and panels. The free vibration of beams made of imperfect functionally graded materials including porosities was investigated in [19] and the free vibration of functionally graded beams resting on two parameter elastic foundation was examined in [20] by M.Avcar et al Due to the discrete singular convolution method, Ö.Civalek et al [21][22][23] studied the behaviour of carbon nanotubes reinforced and functionally graded shells and plates respectively.…”

Section: Introductionmentioning

confidence: 99%

A Combined Strain Element to Functionally Graded Structures in Thermal Environment

Ton-That

2020

Acta Polytech

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Functionally graded materials are commonly used in a thermal environment to change the properties of constituent materials. They inherently withstand high temperature gradients due to a low thermal conductivity, core ductility, low thermal expansion coefficient, and many others. It is essential to thoroughly study mechanical responses of them and to develop new effective approaches for an accurate prediction of solutions. In this paper, a new four-node quadrilateral element based on a combined strain strategy and first-order shear deformation theory is presented to achieve the behaviour of functionally graded plate/shell structures in a thermal environment. The main notion of the combined strain strategy is based on the combination of the membrane strain and the shear strain related to tying points as well as bending strain with respect to a cell-based smoothed finite element method. Due to the finite element analysis, the first-order shear deformation theory (FSDT) is simple to implement and apply for structures, but the shear correction factors are used to achieve the accuracy of solutions. The author assumes that the temperature distribution is uniform throughout the structure. The rule of mixtures is also considered to describe the variation of material compositions across the thickness. Many desirable characteristics and the enforcement of this element are verified and proved through various numerical examples. Numerical solutions and a comparison with other available solutions suggest that the procedure based on this new combined strain element is accurate and efficient.

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Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

Cited by 164 publications

References 157 publications

Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix

Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix

Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method

A Combined Strain Element to Functionally Graded Structures in Thermal Environment

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