Journal of Engineering Mathematics

, Volume 57, Issue 1, pp 57–78

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves

  • I. Gavrilyuk
  • I. Lukovsky
  • Yu. Trotsenko
  • A. Timokha
Original Paper

DOI: 10.1007/s10665-006-9071-0

Cite this article as:
Gavrilyuk, I., Lukovsky, I., Trotsenko, Y. et al. J Eng Math (2007) 57: 57. doi:10.1007/s10665-006-9071-0

Abstract

Weakly nonlinear resonant sloshing in a circular cylindrical baffled tank with a fairly deep fluid depth (depth/radius ratio ≥ 1) is examined by using an asymptotic modal method, which is based on the Moiseev asymptotic ordering. The method generates a nonlinear asymptotic modal system coupling the time-dependent displacements of the linear natural modes. Emphasis is placed on quantifying the effective frequency domains of the steady-state resonant waves occurring due to lateral harmonic excitations, versus the size and the location of the baffle. The forthcoming Part 3 will focus on the vorticity stress at the sharp baffle edge and related generalisations of the present nonlinear modal system.

Keywords

Nonlinear sloshingModal systemSteady-state resonant waves

Copyright information

© Springer Science + Business Media B.V. 2006

Authors and Affiliations

  • I. Gavrilyuk
    • 1
  • I. Lukovsky
    • 2
  • Yu. Trotsenko
    • 2
  • A. Timokha
    • 3
  1. 1.Berufsakademie Thüringen-Staatliche StudienakademieEisenachGermany
  2. 2.Institute of Mathematics National Academy of Sciences of UkraineKievUkraine
  3. 3.Centre for Ships and Ocean StructuresNorwegian University of Science and TechnologyTrondheimNorway