Parameter design of a liquid-filled sloshing system

doi:10.1088/1674-1056/21/12/124701

Abstract The nonlinear governing equations of the liquid sloshing modals in cylindrical storage tank are established. Through analytical analysis, the analytical expressions of the solutions of this kind of system are obtained. With different parameters, the dynamical behaviours of the solutions are different from the trivial ones. To prevent system instability, two selection principles that the stiffness equations are positive-definite and the nonlinear terms of the system are not regenerative elements are given. Meanwhile, numerical simulations are also given, which confirm the analytical results.

Keywords: liquid-filled system analytical analysis selection principle instability

Received: 17 April 2012
Revised: 13 May 2012
Accepted manuscript online:

PACS:	47.20.Ky	(Nonlinearity, bifurcation, and symmetry breaking)
	82.40.Bj	(Oscillations, chaos, and bifurcations)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10632040) and the Independent Innovation Foundation of Tianjin University.

Corresponding Authors: Zhong Shun
E-mail: ily_00000@163.com

Cite this article:

Zhong Shun (钟顺), Chen Yu-Shu (陈予恕) Parameter design of a liquid-filled sloshing system 2012 Chin. Phys. B 21 124701

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Parameter design of a liquid-filled sloshing system

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