Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing

The vibration of an elastic toroidal tank induced by nonlinear sloshing is analyzed. A computationally efficient semi-analytical method is presented for sloshing in a toroidal tank with circular meridional cross-section, for which it is customary to resort to numerical methods. This method expresses...

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Autor principal:	Masahiko UTSUMI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2021
Materias:	vibration of continuous system sloshing nonlinear vibration semi-analytical method toroidal tank Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/abdf62123b8e49269cbb71f8f6c648c1
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spelling	oai:doaj.org-article:abdf62123b8e49269cbb71f8f6c648c12021-11-09T00:01:15ZVibration analysis of an elastic toroidal tank considering nonlinearity of sloshing2187-974510.1299/mej.21-00150https://doaj.org/article/abdf62123b8e49269cbb71f8f6c648c12021-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/8/5/8_21-00150/_pdf/-char/enhttps://doaj.org/toc/2187-9745The vibration of an elastic toroidal tank induced by nonlinear sloshing is analyzed. A computationally efficient semi-analytical method is presented for sloshing in a toroidal tank with circular meridional cross-section, for which it is customary to resort to numerical methods. This method expresses the solution in term of polar coordinates defined in the meridional cross-section such that their origin is at the intersection of the straight lines that are tangent to the tank at the contact points of the static liquid surface with the tank wall. Numerical results illustrate that the difference between the linear and nonlinear responses of the stress in the tank shell is small although the nonlinearity augments the sloshing motion. To examine the physical reason for this counterintuitive trend, response analysis is conducted for the case where an upper part of the tank is open. The examination shows that the closed circular cross-section of the tank suppresses flexible modes with circumferential wave numbers 2 and 3.Masahiko UTSUMIThe Japan Society of Mechanical Engineersarticlevibration of continuous systemsloshingnonlinear vibrationsemi-analytical methodtoroidal tankMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 8, Iss 5, Pp 21-00150-21-00150 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	vibration of continuous system sloshing nonlinear vibration semi-analytical method toroidal tank Mechanical engineering and machinery TJ1-1570
spellingShingle	vibration of continuous system sloshing nonlinear vibration semi-analytical method toroidal tank Mechanical engineering and machinery TJ1-1570 Masahiko UTSUMI Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
description	The vibration of an elastic toroidal tank induced by nonlinear sloshing is analyzed. A computationally efficient semi-analytical method is presented for sloshing in a toroidal tank with circular meridional cross-section, for which it is customary to resort to numerical methods. This method expresses the solution in term of polar coordinates defined in the meridional cross-section such that their origin is at the intersection of the straight lines that are tangent to the tank at the contact points of the static liquid surface with the tank wall. Numerical results illustrate that the difference between the linear and nonlinear responses of the stress in the tank shell is small although the nonlinearity augments the sloshing motion. To examine the physical reason for this counterintuitive trend, response analysis is conducted for the case where an upper part of the tank is open. The examination shows that the closed circular cross-section of the tank suppresses flexible modes with circumferential wave numbers 2 and 3.
format	article
author	Masahiko UTSUMI
author_facet	Masahiko UTSUMI
author_sort	Masahiko UTSUMI
title	Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
title_short	Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
title_full	Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
title_fullStr	Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
title_full_unstemmed	Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
title_sort	vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing
publisher	The Japan Society of Mechanical Engineers
publishDate	2021
url	https://doaj.org/article/abdf62123b8e49269cbb71f8f6c648c1
work_keys_str_mv	AT masahikoutsumi vibrationanalysisofanelastictoroidaltankconsideringnonlinearityofsloshing
_version_	1718441411003547648

Vibration analysis of an elastic toroidal tank considering nonlinearity of sloshing

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