Laminated Composite Plate with Various Edges Boundary Conditions

Analytical solution using Ritz method and Fourier series is used to determine thermal buckling of laminated composite thin plates at a general elastic boundary condition applied to in-plane uniform temperature distribution, also the natural frequencies under an initial thermal load of laminated composite thin plates are investigated depending upon Classical laminated plate theory (CLPT). A generalized procedure solution is developed for the Rayleigh-Ritz method combined with the imaginary spring technique. Employing the principle of virtual work the equation of motion of the plates was derived, and by employing a modified Fourier displacement function was solved, that satisfies general edge conditions. The transverse deflection and rotation due to bending o the plate are developed into principle Fourier series with a sufficient smoothness auxiliary polynomial function, the variable of boundary condition can be easily done by only change the boundary spring stiffness of the all boundaries of the laminated composite plate without achieving any replacement to the solution.