Bernoulli-Euler finite-element modelling of vibration modes on axisymmetric containers for level measurement

Juan Carlos Sanchez Diaz, Juan Manuel Ramirez Cortes, Pilar Gomez Gil, Ponciano Rodriguez Montero, Vicente Alarcon Aquino, Ponciano Jorge Escamilla Ambrosio

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Liquid level measurement inside closed containers is an essential process in control systems, quality control, and many real scenarios in the daily life. In this work, an analysis of vibration modes behavior of two axisymmetric containers and an immersed beam, aiming to liquid level measurement using acoustic resonance, is presented. In acoustic resonance, the vibration pattern produced in the container when it is excited by an external force is related to the liquid level and its physical characteristics. Vibration modes are analyzed using Bernoulli-Euler approach and finite-element modelling (FEM) in COMSOL. Results show a good correspondence of normalized frequency vibration modes shifting vs liquid level. Experimental results are consistent with theoretical and simulated FEM analysis, with an error lower than 1% in the first longitudinal vibration mode.

Original languageEnglish
Article number8863180
Pages (from-to)330-337
Number of pages8
JournalIEEE Latin America Transactions
Volume17
Issue number2
DOIs
StatePublished - Feb 2019
Externally publishedYes

Keywords

  • Acoustic resonance
  • Bernoulli-Euler
  • COMSOL
  • FEM
  • Liquid level
  • Vibration modes

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