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Nonlinear dynamics : mathematical models for rigid bodies with a liquid / Ivan A. Lukovsky.

By: Material type: TextTextSeries: De Gruyter studies in mathematical physics ; 27.Publication details: Berlin ; Boston : Walter de Gruyter GmbH & Co. KG, [2015]Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110389739
  • 3110389738
  • 9781523104642
  • 1523104643
Subject(s): Genre/Form: Additional physical formats: Print version:: Nonlinear dynamicsDDC classification:
  • 532/.05 23
LOC classification:
  • QA427 .L85 2015eb
Online resources:
Contents:
Governing equations and boundary conditions in the dynamics of a bounded volume of liquid -- Direct methods in the nonlinear problems of the dynamics of bodies containing liquids -- Hydrodynamic theory of motions of the ships transporting liquids -- Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid -- Nonlinear modal equations for noncylindical axisymmetric tanks -- Derivation of the nonlinear equations of space motions of the body-liquid system by the method of perturbation theory -- Equivalent mechanical systems in the dynamics of a rigid body with liquid -- Forced finite-amplitude liquid sloshing in moving vessels.
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Print version record.

Includes bibliographical references (pages 377-390) and index.

Governing equations and boundary conditions in the dynamics of a bounded volume of liquid -- Direct methods in the nonlinear problems of the dynamics of bodies containing liquids -- Hydrodynamic theory of motions of the ships transporting liquids -- Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid -- Nonlinear modal equations for noncylindical axisymmetric tanks -- Derivation of the nonlinear equations of space motions of the body-liquid system by the method of perturbation theory -- Equivalent mechanical systems in the dynamics of a rigid body with liquid -- Forced finite-amplitude liquid sloshing in moving vessels.

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