Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature

Now a days, sandwich beams and plates made of functionally graded (FG) materials are widely used in many engineering industries. Therefore, several modeling techniques and solution methods ...

Modeling and analysis of functionally graded sandwich beams: a review

Equivalent single layer theories for composite and sandwich structures: A review

This paper examines static, free and forced vibration of functionally graded (FG) sandwich beams under the action of double moving harmonic loads travelling with constant velocities using Timoshenko beam theory (TBT). Three different sandwich beam models with various cross-sectional shape and various boundary conditions are considered. It is assumed that in FG part of sandwich beams, the material properties vary continuously through the thickness of the beam according to simple power-law form. The problem is formulated based on the energy approach. For this purpose, the unknown displacement functions are approximated by using the simple polynomials together with the auxiliary functions for satisfying the essential boundary conditions. The equations of the motion are obtained by using the Lagrange's equations, and solved with the help of the implicit time integration method of Newmark-. In this study, the effects of the different sandwich beam models, boundary conditions, gradient index, the velocity, excitation frequency and the phase angles of the two successive harmonic loads, and the distance between the loads on the mechanical behavior of sandwich beams are discussed in detail. At the same time, extensive static and free vibration results are presented to check the reliability of the present formulation. Good agreement is observed.

Static, free and forced vibration of functionally graded (FG) sandwich beams excited by two successive moving harmonic loads

Bending behaviour of two directional functionally graded sandwich beams by using a quasi-3d shear deformation theory

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An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

This paper presents a new higher-order shear deformation theory for static, buckling and free vibration analysis of functionally graded sandwich beams. In this theory, the axial displacement accoun...

A new higher-order shear deformation theory for static, buckling and free vibration analysis of functionally graded sandwich beams

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

A novel unified model for laminated composite beams

The thermal effects on vibration analysis of functionally graded (FG) beams using an inverse trigonometric shear deformation theory are presented in this paper. The present work is based on a higher-order shear deformation theory which accounts for an inverse trigonometric distribution of transverse shear stress and higher-order variation of in-plane and out-of-plane displacements. Lagrange's equations are used to derive motion equations. The Ritz solution method is used to solve problems with different boundary conditions (BCs). In this study, numerical findings for the natural frequencies of functionally graded beams are compared with those from prior research. Changes in power-law index and temperature are explored in relation to the findings.

Ba-Duy Nguyen

Papers

An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

A new higher-order shear deformation theory for static, buckling and free vibration analysis of functionally graded sandwich beams

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

A novel unified model for laminated composite beams

Vibration analysis of functionally graded beams in thermal environments using an inverse trigonometric shear deformation theory