This paper presents a study on flowmeters oscillatory motion when subjected to periodical, enforced vibrations induced by vortex-shedding. The proposed mathematical modelling of flow was compared to corresponding numerical simulation, in form of modal analysis. The frequencies of vortices generation and detachment were calculated for a number of flow velocities in two different flowmeter profile variants. The performed modal evaluation enabled estimating their natural frequencies, and in consequence the acquired data helped us to determine flow velocity for which the analyzed structures were prone to resonant vibrations.