University of Tabriz, Tabriz, East Azarbayjan, Iran
Urmia University, Urmia, West Azarbayjan, Iran
This paper aims to present a detailed analysis of the free vibration of a cantilever microbeam submerged in an incompressible and frictionless ﬂuid cavity with free boundary condition approach. In other words, in addition to the kinematic compatibility on the boundary between microbeam and its surrounding ﬂuid, equations of the potential functions are modeled assuming the free boundaries. Galerkin’s method is used for simulations. The results of the proposed model are validated by comparing with the early analytical and numerical studies of pertinent literature. Finally, it is inferred that by involving the free boundary conditions, which is closer to the physical reality, the natural frequencies of the system have instability, especially in higher modes. In addition, the values obtained for natural frequencies are smaller than what were calculated by ﬁxed bounary approach.