Explicit solution to the large deformation of a cantilever beam under point load at the free tip using the variational iteration method-II

This study focuses on a new analytical method called the variational iteration method-II (VIM-II) for the differential equation of the large deformation of a cantilever beam under point load at the free tip. The rotation angles as well as the horizontal and vertical displacements of a cantilever beam with large deformation are calculated in an explicit analytical form. A comparison of the results with those of some numerical and analytical methods shows the simplicity and effectiveness of VIM-II. VIM-II is proven to be a powerful technique that can be used to obtain accurate solutions that cannot be provided otherwise by perturbation and other methods. The accuracy and convergence of the method are also investigated and compared with those of other methods. The results showed good agreement between VIM-II and other methods.