© 2016

Dynamics of Bodies with Time-Variable Mass


Table of contents

  1. Front Matter
    Pages i-xvii
  2. Livija Cveticanin
    Pages 1-10
  3. Livija Cveticanin
    Pages 11-17
  4. Livija Cveticanin
    Pages 19-84
  5. Livija Cveticanin
    Pages 85-127
  6. Livija Cveticanin
    Pages 129-184
  7. Livija Cveticanin
    Pages 185-188
  8. Back Matter
    Pages 189-193

About this book


This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Both aspects of mass variation, continual and discontinual, are considered. Dynamic properties of the body are obtained applying principles of classical dynamics and also analytical mechanics. Advantages and disadvantages of both approaches are discussed. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. Special attention is given to the influence of the reactive force and the reactive torque. The vibration of the body with variable mass is presented. One and two degrees of freedom oscillators with variable mass are discussed. Rotors and the Van der Pol oscillator with variable mass are displayed. The chaotic motion of bodies with variable mass is discussed too. To support learning, some solved practical problems are included.


Chaos in oscillators with variable mass Chaotic motion of the mass variable body Continual mass variation Discontinual mass variation Dynamics of the body with continual mass variation Linear and angular momentums Nonlinear oscillator with variable mass Reactive force and reactive torque Reactive force and reactive torque

Authors and affiliations

  1. 1.Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia

Bibliographic information

  • Book Title Dynamics of Bodies with Time-Variable Mass
  • Authors Livija Cveticanin
  • Series Title Mathematical and Analytical Techniques with Applications to Engineering
  • Series Abbreviated Title Mathematical,Analytical Techniques
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-22055-0
  • Softcover ISBN 978-3-319-36931-0
  • eBook ISBN 978-3-319-22056-7
  • Series ISSN 1559-7458
  • Series E-ISSN 1559-7466
  • Edition Number 1
  • Number of Pages XVII, 193
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Theoretical and Applied Mechanics
    Classical Mechanics
    Applications of Mathematics
  • Buy this book on publisher's site
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“This is a relatively brief reference book on the title subject. ‘Time-Variable Mass’ refers both to systems with abrupt mass changes and also to systems with uniform mass changes. … Several examples are included throughout the book. Both conservative and non-conservative systems are included, as well as nonlinear effects. Although the book appears to be directed toward theoreticians, it is likely to also be of interest and use to engineers and practitioners working with variable-mass systems.” (Ronald L. Huston, zbMATH 1344.70042, 2016)