is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: https://sam.ensam.eu Handle ID In the current study, a theoretical method is developed to predict the vibrational behavior of micro-circular disks¯lled with viscous°uids and numerical results are presented to validate the model. Vibrations with two outer boundary conditions, rigid and deformable

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... essel, are studied. The coupled governing equations of both rigid and deformable vessel vibration are solved by the analytical procedure, taking°uid-structure interaction into account. The°uid gap e®ect on the coupled eigenfrequencies is also considered. The frequency spectrum plots of the¯rst several eigenfrequencies are presented in a wide range of°uid gap and elasticity ratio. The correctness of results is demonstrated using a commercial¯nite element software. It is shown that the obtained results through the proposed method reveal very good agreement with the numerical solution.