Abstract:

                             In this paper free vibration analysis of orthotropic laminated composite plates using first order shear deformation theory. The existing first-order shear deformation theory contains five unknowns but present first order shear deformation theory contains only four unknowns and has many similarity with the classical plate theory such as equation of motion, boundary condition and stress resultant expressions. The equation of motion and boundary condition are derived from Hamilton’s Principle for the calculation of frequency analysis of orthotropic laminated composite plates. Analytical closed form solution of simply supported anti-symmetric cross-ply and angle-ply laminated composite are obtained and results are compared with the exact three dimensional solution. Comparison studies shows that the present theory can achieve the same accuracy as of the existing first order shear deformation theory which has more number of unknowns.

Keywords

Classical laminated plate theory (CLPT), first-order shear deformation theory (FSDT), transverse shear, rotary inertia, strain energy, work done, kinetic energy, mass density, mass inertia.