Dynamics of Mechanical Systems with Non-Ideal Excitation

  • Livija Cveticanin
  • Miodrag Zukovic
  • Jose Manoel Balthazar

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-x
  2. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 1-8
  3. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 9-47
  4. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 49-120
  5. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 121-140
  6. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 141-172
  7. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 173-219
  8. Livija Cveticanin, Miodrag Zukovic, Jose Manoel Balthazar
    Pages 221-225
  9. Back Matter
    Pages 227-229

About this book


In this book the dynamics of the non-ideal oscillatory system, in which the excitation is influenced by the response of the oscillator, is presented. Linear and nonlinear oscillators with one or more degrees of freedom interacting with one or more energy sources are treated. This concerns for example oscillating systems excited by a deformed elastic connection, systems excited by an unbalanced rotating mass, systems of parametrically excited oscillator and an energy source, frictionally self-excited oscillator and an energy source, energy harvesting system, portal frame – non-ideal source system, non-ideal rotor system, planar mechanism – non-ideal source interaction. For the systems the regular and irregular motions are tested. The effect of self-synchronization, chaos and methods for suppressing chaos in non-ideal systems are considered. In the book various types of motion control are suggested. The most important property of the non-ideal system connected with the jump-like transition from a resonant state to a non-resonant one is discussed. The so called ‘Sommerfeld effect’, resonant unstable state and jumping of the system into a new stable state of motion above the resonant region is explained. A mathematical model of the system is solved analytically and numerically. Approximate analytical solving procedures are developed. Besides, simulation of the motion of the non-ideal system is presented. The obtained results are compared with those for the ideal case. A significant difference is evident.

The book aims to present the established results and to expand the literature in non-ideal vibrating systems. A further intention of the book is to give predictions of the effects for a system where the interaction between an oscillator and the energy source exist. The book is targeted at engineers and technicians dealing with the problem of source-machine system, but is also written for PhD students and researchers interested in non-linear and non-ideal problems. 


Non-Ideal Source Sommerfeld Effect Chaos in Non-Ideal Mechanical System Control and Suppressing of Sommerfeld Effect Application in Energy Harvesting Linear Oscillator Non-Ideal Energy Source Non-Ideal Vibrating Systems Two-Degree-of-Freedom Oscillator

Authors and affiliations

  • Livija Cveticanin
    • 1
  • Miodrag Zukovic
    • 2
  • Jose Manoel Balthazar
    • 3
  1. 1.Donát Bánki Faculty of Mechanical and Safety EngineeringÓbuda UniversityBudapestHungary
  2. 2.Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia
  3. 3.Mechanical-Aeronautics DivisionAeronautics Technological InstituteSão José dos CamposBrazil

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-54168-6
  • Online ISBN 978-3-319-54169-3
  • Series Print ISSN 2192-4732
  • Series Online ISSN 2192-4740
  • Buy this book on publisher's site
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