Dynamics of mechanical systems with non-ideal excitation /

Dynamics of mechanical systems with non-ideal excitation /

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Bibliographic Details
Author / Creator:Cveticanin, Livija.
Imprint:Cham : Springer, 2017.
Description:1 online resource (237 pages)
Language:English
Series:Mathematical Engineering
Mathematical engineering.
Subject:
Vibration.
Machinery, Dynamics of.
Machinery, Dynamics of.
Vibration.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11541276
Hidden Bibliographic Details
Other authors / contributors:Zukovic, Miodrag.
Balthazar, Jose Manoel.
ISBN:9783319541693
3319541692
9783319541686
3319541684
Notes:5.3.2 Numerical Simulation.
Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Cveticanin, Livija. Dynamics of mechanical systems with non-ideal excitation. Cham : Springer, 2017 9783319541693
Table of Contents:
  • Preface; Contents; 1 Introduction; References; 2 Linear Oscillator and a Non-ideal Energy Source; 2.1 Simple Degree of Freedom Oscillator Coupled with a Non-ideal #x83;; 2.1.1 Analytical Solving Procedure; 2.1.2 Steady-State Solution and Sommerfeld Effect; 2.1.3 Model Analogy and Numerical Simulation; 2.1.4 Stability Analysis; 2.2 Oscillator with Variable Mass Excited with Non-ideal Source; 2.2.1 Model of the System with Variable Mass; 2.2.2 Model of the System with Constant Mass; 2.2.3 Comparison of the Systems with Constant and Variable Mass.
  • 2.3 Oscillator with Clearance Coupled with a Non-ideal Source2.3.1 Model of the System; 2.3.2 Transient Motion of the System; 2.3.3 Steady-State Motion of the System; 2.3.4 Chaotic Motion; 2.3.5 Chaos Control; 2.4 Conclusion; References; 3 Nonlinear Oscillator and a Non-ideal Energy Source; 3.1 Nonlinear Oscillator Coupled with a Non-ideal Motor #x83;; 3.1.1 Nonlinear Motor Torque Property; 3.1.2 Solution Procedure in General; 3.1.3 Steady-State Motion and Its Stability; 3.1.4 Characteristic Points on the Steady State Curves; 3.1.5 Suppression of the Sommerfeld Effect; 3.1.6 Conclusion.
  • 3.2 Pure Nonlinear Oscillator and the Motor with Nonlinear Torque3.2.1 Approximate Solution Procedure; 3.2.2 Steady-State Motion and Its Properties; 3.2.3 Characteristic Points; 3.2.4 Suppression of the Sommerfeld Effect; 3.2.5 Numerical Examples; 3.3 Pure Strong Nonlinear Oscillator and a Non-ideal Energy Source; 3.3.1 Model of the System; 3.3.2 Analytical Solving Procedure; 3.3.3 Resonant Case and the Averaging Solution Procedure; 3.3.4 Suppression of the Sommerfeld Effect; 3.3.5 Numerical Examples of Non-ideal Driven Pure Nonlinear Oscillators; 3.3.6 Conclusion.
  • 3.4 Stable Duffing Oscillator and a Non-ideal Energy Source3.4.1 Asymptotic Solving Method; 3.4.2 Stability of the Steady State Solution and Sommerfeld Effect; 3.4.3 Numerical Simulation and Chaotic Behavior; 3.4.4 Chaos Control; 3.4.5 Conclusion; 3.5 Bistable Duffing Oscillator Coupled with a Non-ideal Source; 3.5.1 Semi-trivial Solutions and Quenching of Amplitude; 3.5.2 Non-trivial Solutions and Their Stability; 3.5.3 Conclusion; References; 4 Two Degree-of-Freedom Oscillator Coupled to a Non-ideal Source ; 4.1 Model of the System; 4.2 Analytical Solution; 4.2.1 Steady-State Motion.
  • 4.2.2 Stability Analysis4.3 Special Cases; 4.3.1 Resonance Frequencies in Orthogonal Directions Are Equal; 4.3.2 Resonance Frequency in One Direction Is Half of the Resonance frequency in Other Direction; 4.4 Numerical Simulation; 4.5 Conclusions; References; 5 Dynamics of Polymer Sheets Cutting Mechanism; 5.1 Structural Synthesis of the Cutting Mechanism; 5.1.1 Comparison of the Simple, Eccentric and Two Slider-Crank mechanisms; 5.2 Kinematics of the Cutting Mechanism; 5.3 Dynamic Analysis of the Mechanism with Rigid Support; 5.3.1 Mathematical Model of the Mechanism.

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