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다국어 초록 (Multilingual Abstract)

This work presents a free vibration analysis of functionally graded metal-ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose, a simple displacement field based on higher order shear deformation theory is implemented. The proposed theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The most interesting feature of this theory is that it accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. In addition, it has strong similarities with Euler-Bernoulli beam theory in some aspects such as equations of motion, boundary conditions, and stress resultant expressions. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. By employing the Hamilton's principle, governing equations of motion for coupled axial-shear-flexural response are determined. The validity of the present theory is investigated by comparing some of the present results with those of the first-order and the other higher-order theories reported in the literature. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

참고문헌 (Reference)

1 Sihame Ait Yahia, "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories" 국제구조공학회 53 (53): 1143-1165, 2015

2 Bachir Bouderba, "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations" 국제구조공학회 14 (14): 85-104, 2013

3 Hayat Saidi, "Thermo-mechanical bending response with stretching effect of functionally graded sandwich plates using a novel shear deformation theory" 국제구조공학회 15 (15): 221-245, 2013

4 Tounsi, A., "Thermal buckling behavior of nanobeam using an efficient higher-order nonlocal beam theory" ASCE 3 (3): 37-42, 2013

5 Reddy, J. N., "Theory and Anaslysis of Elastic Plates" Taylor & Francis Publication 1999

6 Benzair, A., "The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory" 41 (41): 225404-, 2008

7 Cowper, G. R., "The shear coefficients in Timoshenko beam theory" 33 (33): 335-340, 1966

8 Mahmoud, S. R., "The problem of wave propagation in magneto-rotating orthotropic non-homogeneous medium" 107754631452144 : 3-, 2014

9 Rayleigh, J. W. S., "The Theory of Sound" Macmillan Publishers 1880

10 Benatta, M. A., "Static analysis of functionally graded short beams including warping and shear deformation effects" 44 (44): 765-773, 2008