The Approximate Solution of Nonlinear Flexure of a Cantilever Beam with the Galerkin Method

For the optimal design and accurate prediction of structural behavior, nonlinear analysis large deformation elastic beams has broad applications in various engineering fields. In this study, equation flexure an beam, also known as elastica, was solved by Galerkin method for a highly solution. The numerical results showed that third-order solution rotation angle at free end beam is more efficient comparison with other approximate methods, perfectly consistent exact elliptic functions. A general procedure demonstrated solutions differential equations potential adoption implementation applications.