Liquid Vibrations in Cylindrical Tanks with and Without Baffles Under Lateral and Longitudinal Excitations

E. Strelnikova 1 , D. Kriutchenko 2 , V. Gnitko 2 ,  and A. Tonkonozhenko 3
  • 1 A. Podgorny Institute of Mechanical Engineering Problems, of the Ukrainian Academy of Sciences, , V.N. Karazin Kharkiv National University, , Ukraine
  • 2 A. Podgorny Institute of Mechanical Engineering Problems, of the Ukrainian Academy of Sciences, , Ukraine
  • 3 M.K. Yangel Yuzhnoye State Design Office, , Ukraine

Abstract

The paper is devoted to issues of estimating free surface elevations in rigid cylindrical fluid-filled tanks under external loadings. The possibility of baffles installation is provided. The liquid vibrations caused by lateral and longitudinal harmonic loadings are under consideration. Free, forced and parametrical vibrations are examined. Modes of the free liquid vibrations are considered as basic functions for the analysis of forced and parametric vibrations. The modes of the free liquid vibrations in baffled and un-baffled cylindrical tanks are received by using single-domain and multi-domain boundary element methods. Effects of baffle installation are studied. The problems of forced vibrations are reduced to solving the systems of second order ordinary differential equations. For parametric vibrations the system of Mathieu equations is obtained. The numerical simulation of free surface elevations at different loadings and baffle configurations is accomplished. Beat phenomena effects are considered under lateral harmonic excitations. The phenomenon of parametric resonance is examined under longitudinal harmonic excitations.

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