A Semi-Analytical Approach Based on the Variational Iteration Method for Static Analysis of Composite Beams

Olga Doeva, Pedram Khaneh Masjedi, Paul M. Weaver
2020 Composite structures  
A B S T R A C T Using the Variational Iteration Method (VIM) the 3D static deflection problem of composite beams subject to concentrated tip and uniformly distributed loads is analysed, resulting in a system of coupled nonhomogeneous ordinary differential equations. Using a general Lagrange multiplier, identified by variational theory, a special type of functional is constructed. By making an initial approximation in the form of a Maclaurin series and by using successive iterations, the
more » ... ations, the solution in the form of convergent series is obtained. The results based on VIM are compared against those of the exact solution and Chebyshev Collocation Method (CCM) for different layups and boundary conditions and good agreement is observed between them. These results show the applicability and effectiveness of VIM for the static analysis of composite beams.
doi:10.1016/j.compstruct.2020.113110 fatcat:f37e6qy4bja2rhywfvtnlk6xwm