On Bernoulli-Euler modeling of an immersed beam for axisymmetric container parameters measurement

Parameter measurement of liquids in containers such as level, density and viscosity is a widely investigated field due to its relevance in a variety of industrial fields. In this work an analysis of vibration modes related to liquid parameters for a vertical immersed beam based on a general Bernoulli-Euler beam model for different liquids is presented. Experimental and theoretical results are compared to a Finite Element Model (FEM) simulation implemented in COMSOL, using a distributed mass approach. This analysis aims to characterization of axisymmetric containers using an immersed beam model where the vibration modes are linked to surrounding liquid properties. Results showed a good approximation with an error of 6.5 % in average of the full scale range when the first and second vibration mode are considered.