A semi-analytical approach based on the variational iteration method for static analysis of composite beams

Using the Variational Iteration Method (VIM) 3D static deflection problem of composite beams subject to concentrated tip and uniformly distributed loads is analysed, resulting in a system coupled non-homogeneous ordinary differential equations. general Lagrange multiplier, identified by variational theory, special type functional constructed. By making an initial approximation form Maclaurin series using successive iterations, solution convergent obtained. The results based on VIM are compared against those exact Chebyshev Collocation (CCM) for different layups boundary conditions good agreement observed between them. These show applicability effectiveness analysis beams.