Nonlinear dynamics : mathematical models for rigid bodies with a liquid

The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional sy...

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Bibliographic Details
Main Author Lukovskiĭ, I. A.
Format Electronic eBook
LanguageEnglish
Published Berlin ; Boston : Walter de Gruyter GmbH & Co. KG, [2015]
SeriesDe Gruyter studies in mathematical physics ; 27.
Subjects
Nonlinear theories > Mathematics.
Dynamics > Mathematics.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783110389739
3110389738
9781523104642
1523104643
9783110316551
3110316552
9783110316582
Physical Description1 online resource

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Table of 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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