Free vibration analysis of cross-ply symmetrically laminated right cantilever triangular plates

An approximate method is proposed for analyzing the free vibration problem of cross-ply symmetrically laminated cantilever triangular plates. By adding an extremely thin part, a right triangular plate is translated into an equivalent rectangular plate with non-uniform thickness. Discrete solutions for the deflection of the equivalent plate are obtained and used as Green function. By using the Green function, the characteristic equation of the free vibration can be derived. Frequencies and mode shapes are shown for some laminated cantilever right triangular plates with various aspect-ratios. The efficiency and accuracy of the numerical solutions by the proposed method are investigated