7 documents found, page 1 of 1
Examples of Physical Systems Described by the Duffing Equation
Brennan, Michael J. [UNESP]; Kovacic, IvanaMade available in DSpace on 2022-04-28T18:58:35Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-03-03; In this chapter several examples of physical systems whose dynamic behaviour can be approximated by several forms of the Duffing equation are given. The physical systems are chosen to illustrate the physical phenomena that result in different forms of this equation related to several types of geometric ...
Background: On Georg Duffing and the Duffing Equation
Kovacic, Ivana; Brennan, Michael J. [UNESP]Made available in DSpace on 2022-04-28T18:58:35Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-03-03; In this chapter a historical background to Duffing's work is given. In addition, his biography and bibliography are presented. The content of his famous book is described. The evolution of his work to the present day is also tracked. © 2011 John Wiley & Sons, Ltd. All rights reserved.; University of Nov...
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator
Kovacic, Ivana; Brennan, Michael J. [UNESP]Made available in DSpace on 2022-04-28T18:58:35Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-03-03; Two nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a sin...
The Duffing Equation: Nonlinear Oscillators and their Behaviour
Kovacic, Ivana; Brennan, Michael J. [UNESP]Made available in DSpace on 2022-04-28T18:59:09Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-03-03; The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chap...
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker...
Gatti, Gianluca; Brennan, Michael J. [UNESP]; Kovacic, Ivana; Belhaq, M.Made available in DSpace on 2018-11-26T15:30:40Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-01-01; This chapter describes the dynamic behaviour of a coupled system where a nonlinear oscillator is attached and driven harmonically by an electro-dynamic shaker. The shaker is modelled as a linear single degree-of-freedom oscillator and the nonlinear attachment is modelled as a hardening Duffing oscillato...
Exploiting knowledge of jump-up and jump-down frequencies to determine the para...
Ramlan, Roszaidi; Brennan, Michael J. [UNESP]; Kovacic, Ivana; Mace, Brian R.; Burrow, Stephen G.Made available in DSpace on 2018-12-11T16:41:13Z (GMT). No. of bitstreams: 0 Previous issue date: 2016-08-01; This work concerns the application of certain non-linear phenomena - jump frequencies in a base-excited Duffing oscillator - to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the d...
On the response at the excitation frequency of a two degrees of freedom nonline...
Gatti, Gianluca; Brennan, Michael J. [UNESP]; Kovacic, IvanaMade available in DSpace on 2018-12-11T17:19:37Z (GMT). No. of bitstreams: 0 Previous issue date: 2017-01-01; This paper presents an overview of the main theoretical advances and experimental analyses, achieved by the authors in recent years of collaborative research in the field of nonlinear dynamics of coupled oscillators. The initial motivation came from some experimental phenomena observed in the dynamics o...