Analytical solution to the dynamic analysis of laminated beams using higher order refined theory

Analytical solution to the natural frequency analysis of composite and sandwich beams based on a higher order refined theory is presented. This theory incorporates cubic axial, transverse shear and quadratic transverse normal strain components in the basic formulation — thus modelling the warping of cross section accurately and eliminating the need for a shear correction coefficient. Also, it considers each layer of the lamina to be orthotropic and in a two dimensional state of plane stress. The equations of equilibrium are derived using Hamilton's principle. Numerical experiments are carried out and from the results of thick and thin sections, conclusions are drawn.