Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam

الملخص EN

We investigate semianalytical solutions of Euler-Bernoulli beam equation by using Laplace transform and Adomian decomposition method (LADM).

The deformation of a uniform flexible cantilever beam is formulated to initial value problems.

We separate the problems into 2 cases: integer order for small deformation and fractional order for large deformation.

The numerical results show the approximated solutions of deflection curve, moment diagram, and shear diagram of the presented method.