Buckling Analysis of Laminated Composite Plate with Different Boundary Conditions using modified Fourier series

Abstract

Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method). Equation of motion of the plates was derived using the principle of virtual work and solved using modified Fourier displacement function that satisfies general edge conditions. The eigenvalue problem generated by using Ritz method, the set of linear algebraic equations can be solved using MATLAB for symmetric and anti-symmetric, cross and angle-ply laminated plate considering some design parameters such as aspect ratios, number of layers, lamination type and orthotropic ratio. The results obtained gives good agreement with those published by other researchers.

Local buckling of FRP thin-walled plates, shells and hollow sections with curved edges and arbitrary lamination

“…Application of the Rayleigh Ritz energy method for calculating the local buckling capacity of composite laminated rectangular plates has been extensively studied by multiple authors [27,28]. In this section, a methodology to extend the existing work to non-rectangular plates is presented.…”

“…Based on the variation principle, the Rayleigh-Ritz method is commonly employed in determining an approximate solution to the buckling capacity of composite plates [27,28].…”

Influence of cut-out shape on the dynamic behavior of carbon nanotubes reinforced functionally graded plates

“…The expressions for strains for the FG plate is written following strain displacement relations. The constitutive relations used are written as Discretization of FG plate is done and nodal displacements for a node are expressed following equation (7).…”

“…Kiani [6] studied free vibration behaviour of FGCNTC plates integrated with piezoelectric materials. In an attempt, Abed and Majeed [7] explored consequences of different boundary constraints on harmonic behavior of laminated plates. Recently, Kumar and Sarangi [8] studied harmonic behaviour of FGCNTRC beams by FE analysis.…”