Free vibration analysis of a porous beam under subtangential force

This investigation aims to explore the free vibration analysis of a cantilever beam made of porous materials based on the Euler-Bernoulli beam model and subjected to a subtangential force. Applying Hamilton’s principle, the governing equation and corresponding boundary conditions are derived and then, the Galerkin method is employed to solve them by the eigenvalue analysis in order to converted a set of partial deferential equations to ordinary type. The results illustrated effects of main parameters such as porosity coefficient and various non-conservative parameter on the natural frequencies of a cantilever porous beam. Finally, the validity of the present analysis is confirmed by comparing the results with those obtained from the literature.