Bernoulli-Euler finite-element modelling of vibration modes on axisymmetric containers for level measurement. Sanchez Diaz, J., C., Ramirez Cortes, J., M., Gomez Gil, P., Rodriguez Montero, P., Alarcon-Aquino, V., & Escamilla Ambrosio, P., J. IEEE Latin America Transactions, 17(02):330-337, 2, 2019.
Bernoulli-Euler finite-element modelling of vibration modes on axisymmetric containers for level measurement [link]Website  doi  abstract   bibtex   
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.
@article{
 title = {Bernoulli-Euler finite-element modelling of vibration modes on axisymmetric containers for level measurement},
 type = {article},
 year = {2019},
 keywords = {Acoustic resonance,Astrophysics,Bernoulli–Euler,COMSOL,Containers,FEM,Finite element analysis,Level measurement,Liquid level,Liquids,Optics,Vibration modes,Vibrations},
 pages = {330-337},
 volume = {17},
 websites = {https://ieeexplore.ieee.org/document/8863180/},
 month = {2},
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 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.},
 bibtype = {article},
 author = {Sanchez Diaz, Juan Carlos and Ramirez Cortes, Juan Manuel and Gomez Gil, Pilar and Rodriguez Montero, Ponciano and Alarcon-Aquino, Vicente and Escamilla Ambrosio, Ponciano Jorge},
 doi = {10.1109/TLA.2019.8863180},
 journal = {IEEE Latin America Transactions},
 number = {02}
}

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