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Analytical Solution of Sloshing in a Cylindrical Tank with an Elastic Cover

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Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
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Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Mathematics 2019, 7(11), 1070; https://doi.org/10.3390/math7111070
Received: 27 June 2019 / Revised: 13 October 2019 / Accepted: 18 October 2019 / Published: 7 November 2019
Coupled fluid-structure is significant in many aspects of engineering applications such as aerospace fuel tanks, the seismic safety of storage tanks and tuned liquid dampers. Numerical investigation of the effects of thin plate cover over a cylindrical rigid fuel tank filled by an inviscid, irrotational, and incompressible fluid is investigated. Governing equations of fluid motion coupled by plate vibration are solved analytically. A parameter study on the natural frequency of coupled fluid-structure interaction is performed. The results show the non-dimensional natural frequency of coupled fluid-structure is a function of mass ratio, plate elasticity number and aspect ratio. This function is derived numerically for high aspect ratios which in companion with a semi-analytical could be used in the engineering design of liquid tanks with a cover plate. View Full-Text
Keywords: analytical solution; thin plate; sloshing; natural frequency; fluid–solid interaction analytical solution; thin plate; sloshing; natural frequency; fluid–solid interaction
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Abdollahzadeh Jamalabadi, M.Y. Analytical Solution of Sloshing in a Cylindrical Tank with an Elastic Cover. Mathematics 2019, 7, 1070.

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