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Dynamics of Bodies with Time-Variable Mass: Mathematical and Analytical Techniques with Applications to Engineering

Autor Livija Cveticanin
en Limba Engleză Hardback – 25 aug 2015
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.
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Specificații

ISBN-13: 9783319220550
ISBN-10: 3319220551
Pagini: 212
Ilustrații: XVII, 193 p.
Dimensiuni: 160 x 241 x 18 mm
Greutate: 0.49 kg
Ediția:1st edition 2016
Editura: Springer
Colecția Mathematical and Analytical Techniques with Applications to Engineering
Seria Mathematical and Analytical Techniques with Applications to Engineering

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Introduction.- Linear and Angular Momentums.- Discontinual Mass Variation.- Analytical Dynamics for the Body with Discontinual Mass Variation.- Dynamics for the Body with Continual Mass Variation.- Vibration of the Body with Continual Mass Variation.- Chaotic Motion of the Mass Variable Body.

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

Covers dynamics of bodies with variable mass, especially dynamics of discontinual mass variation Provides solution procedures for solving some practical problems Includes consideration of chaos in mass variable systems Written by one the most cited authors in Serbia Includes supplementary material: sn.pub/extras

Notă biografică

Livija Cveticanin is Professor of the University of Novi Sad, Serbia. She got PhD degree at the University of Novi Sad in 1981. In 2015 she finished her second dissertation at the Hungarian Academy of Sciences. She is member of the International Federation of Theory of Mechanisms and Machines IFToMM. She was the President of the Society of Mechanics of Vojvodina, President of the Society for Vibration Control and Protection, President of the Yugoslav Society of Mechanics. She published three English language monographs, as well as several textbooks in Serbian. She is member of the Editorial Board of Theoretical and Applied Mechanics and Facta Universitatis, Ser. Mechanics, Automatic Control and Robotics, associated editor of Mechanism and Machine Theory and Journal of Applied Mathematics.