Nonlinear Dynamics : : Mathematical Models for Rigid Bodies with a Liquid /

Nonlinear Dynamics : : Mathematical Models for Rigid Bodies with a Liquid / / Ivan A. Lukovsky.

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This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of sp...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1
VerfasserIn:
Lukovsky, Ivan A.,
MitwirkendeR:
Malyshev, Peter V.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2015]
©2015
Year of Publication:2015
Language:English
Series:De Gruyter Studies in Mathematical Physics , 27
Online Access:
Physical Description:1 online resource (394 p.)
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Table of Contents:
  • Frontmatter
  • Foreword to English Edition
  • Foreword to Russian Edition
  • Contents
  • Introduction
  • Chapter 1. Governing equations and boundary conditions in the dynamics of a bounded volume of liquid
  • Chapter 2. Direct methods in the nonlinear problems of the dynamics of bodies containing liquids
  • Chapter 3. Hydrodynamic theory of motions of the ships transporting liquids
  • Chapter 4. Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid
  • Chapter 5. Nonlinear modal equations for noncylindical axisymmetric tanks
  • Chapter 6. Derivation of the nonlinear equations of space motions of the body–liquid system by the method of perturbation theory
  • Chapter 7. Equivalent mechanical systems in the dynamics of a rigid body with liquid
  • Chapter 8. Forced finite-amplitude liquid sloshing in moving vessels
  • Bibliography
  • Index
  • Backmatter

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