Interval type-2 fuzzy hydroelastic Ritz–Koopman optimization of a partially filled cylindrical tank for robust sloshing-induced vibro-acoustic suppression

Suleiman Ibrahim Mohammad
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
Yogeesh Nijalingappa
Department of Mathematics & Natural Sciences, Gulf University for Science & Technology, Safat 13060, Kuwait; Department of Mathematics, Government First Grade College, Tumkur 572102, India; Research Fellow, INTI International University, Nilai 71800, Malaysia
Seif Al Bustanji
Faculty of Technical Education, Hourani Center for Applied Scientific Research (HCASR), Al-Ahliyya Amman University, Amman 19111, Jordan
Asokan Vasudevan
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
P. William
School of Computer Science and Technology, Karunya Institute of Technology and Sciences (Deemed University), Coimbatore 641114, India; Centre for Research and Consultancy, UNITAR International University, Petaling Jaya 47301, Malaysia
Chethana N. S.
Department of Mathematics, Central University of Karnataka, Kalaburagi 585367, India

Article ID: 4756

Keywords: sound and vibration; hydroelasticity; sloshing; cylindrical tank; interval type-2 fuzzy sets; vibro-acoustic radiation; Koopman–Galerkin model; robust optimization

Abstract

Partially filled storage and transport tanks often radiate objectionable low-frequency sound because liquid sloshing, flexible shell modes, and uncertain damping interact in the same operating band. This paper develops a compact hydroelastic vibro-acoustic design method for a vertical cylindrical tank equipped with internal porous annular baffles and external viscoelastic rings. The fluid is represented by Bessel-based sloshing modes, the shell by a Ritz expansion, and the nonlinear free-surface contribution by a cubic Koopman–Galerkin lifting. Interval type-2 fuzzy sets describe epistemic uncertainty in fill height, fluid density, shell stiffness, loss factor, and baffle clogging. A deterministic design and a proposed fuzzy robust design are compared over alpha-plane uncertainty scenarios using peak sound power, band-averaged sound power, wall acceleration, and wave-height constraints. The proposed design reduces the 95th-percentile peak sound power from 57.84 dB in the uncontrolled tank to 48.55 dB, decreases the 95th-percentile band-averaged acoustic level from 28.47 dB to 26.73 dB, and lowers the 95th-percentile wall-acceleration level from 130.48 dB to 120.34 dB. Relative to the deterministic optimum, the robust design has a 0.216 dB higher nominal peak and a 0.173 dB higher 95th-percentile peak. Still, it lowers the 95th-percentile band mean by 1.059 dB and wall acceleration by 0.613 dB. The contribution is the integrated reduced-order design workflow; physical validation remains necessary.

Published

2026-09-02

How to Cite

Mohammad, S. I., Nijalingappa, Y., Bustanji, S. A., Vasudevan, A., William, P., & N. S., C. (2026). Interval type-2 fuzzy hydroelastic Ritz–Koopman optimization of a partially filled cylindrical tank for robust sloshing-induced vibro-acoustic suppression. Sound & Vibration, 60(6). https://doi.org/10.59400/sv4756

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Vol. 60 No. 6 (2026): In Progress

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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Interval type-2 fuzzy hydroelastic Ritz–Koopman optimization of a partially filled cylindrical tank for robust sloshing-induced vibro-acoustic suppression

Abstract

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