Numerical bifurcation analysis of an impact oscillator with drift

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Mechanical systems with impacting components have received considerable attention in the past due to their wide engineering applications. In this work, we study numerically a physical model that accounts for viscoelastic impacts and is able to reproduce the effect of the vertical progression (drift) observed e.g. in drilling applications (Pavlovskaia et al. 2001). The model is comprised of a harmonically excited mass simulating the penetrating part of the system and a viscoelastic slider, which represents the soil resistance. During operation, the system can move downwards in stick-slip phases, resulting in complex dynamical behaviour, which includes fold, period-doubling and grazing bifurcation of periodic orbits, as well as chaotic motion. The present work extends the previous investigations undertaken by theCADRwithinAberdeen University (Pavlovskaia et al. 2001, Pavlovskaia and Wiercigroch 2007) to gain an insight into the bifurcation structure of the underlying system. Specifically, the system is analyzed numerically by means of the software TC-HAT, a toolbox of AUTO 97 allowing numerical continuation and bifurcation detection of periodic orbits in non-smooth dynamical systems.

Original languageEnglish
Title of host publicationResearch and Applications in Structural Engineering, Mechanics and Computation
EditorsAlphose Zingoni
PublisherCRC Press
Pages77-78
Number of pages2
ISBN (Electronic)9781315850788
ISBN (Print)9781138000612
DOIs
Publication statusPublished - 15 Aug 2013
Event5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013 - Cape Town, South Africa
Duration: 2 Sep 20134 Sep 2013

Conference

Conference5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013
CountrySouth Africa
CityCape Town
Period2/09/134/09/13

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering

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  • Cite this

    Chávez, J. P., Wiercigroch, M., & Pavlovskaia, E. E. (2013). Numerical bifurcation analysis of an impact oscillator with drift. In A. Zingoni (Ed.), Research and Applications in Structural Engineering, Mechanics and Computation (pp. 77-78). [35] CRC Press. https://doi.org/10.1201/b15963-40