Solving coupled beam-fluid interaction by DTM

This paper aims to employ the differential transformation method for solving a fluid-structure interaction problem. The free vibration of an Euler-Bernoulli beam next to an incompressible, irrotational and inviscid fluid is administrated by a coupled boundary value problem. In the present study, the governing differential equations are solved by the mentioned semi-analytical approach. To evaluate the correctness and robustness of the developed formulations, the free vibration of several beam-fluid systems, with different boundary conditions, are assessed. Moreover, the obtained results are compared with those of the finite element technique.