Lumped Parameter Model for Liquid Sloshing in a Cylindrical Tank Equipped with Multiple Annular Baffles
Publication: Journal of Structural Engineering
Volume 147, Issue 5
Abstract
A lumped parameter model for liquid sloshing in a rigid circular cylindrical tank with multiple rigid baffles under horizontal excitation is developed to represent continuous fluid. The subdomain method for liquid sloshing is implemented to divide the fluid domain into simple subdomains with continuous boundary conditions. The exact results of the convective velocity potential are obtained based on the continuity condition of pressure and velocity at the interfaces of liquid subdomains. By generating the same shear and moment as analytical solutions, an equivalent lumped parameter model with masses and springs is identified. The formulations of the lumped parameters in the model are analytically derived, including the convective and impulsive masses as well as their locations connected to the wall. Comparisons between the present results and available solutions confirm the feasibility and validity of the model. Detailed sloshing responses of liquid in the tank with multiple baffles are analyzed with regard to the dimensionless liquid heights, baffle positions, and sizes, respectively. The lumped parameter model can be simply assembled to make the dynamic analysis of complex fluid-structure systems with acceptable precision and a small amount of calculation.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 51978336 and 11702117).
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Published In
Journal of Structural Engineering
Volume 147 • Issue 5 • May 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 24, 2019
Accepted: Nov 23, 2020
Published online: Feb 23, 2021
Published in print: May 1, 2021
Discussion open until: Jul 23, 2021
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