Complex structure of periodic orbits in an oscillator with a vibro-impact attachment

Young Sup Lee, Francesco Nucera, Alexander F. Vakakis, D. Michael McFarland, Lawrence A. Bergman

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We show that a linear oscillator with a vibro-impact attachment possesses a very complicated structure of periodic orbits. These periodic orbits can be studied numerically by depicting them in a frequency-energy plot (FEP), where the (conserved) energy of a periodic orbit is plotted against its fundamental frequency. The results reported herein are a brief summary of a more detailed study (Lee et al., 2008).

Original languageEnglish (US)
Title of host publicationVibro-Impact Dynamics of Ocean Systems and Related Problems
EditorsRaouf A. Ibrahim, Masaaki Okuma, Raouf A. I Ibrahim, Vladimir I. Babitsky, Masaaki Okuma, Babitsky Babitsky
Pages173-178
Number of pages6
DOIs
StatePublished - Dec 1 2009

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume44
ISSN (Print)1613-7736

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Theory and Mathematics

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  • Cite this

    Lee, Y. S., Nucera, F., Vakakis, A. F., Michael McFarland, D., & Bergman, L. A. (2009). Complex structure of periodic orbits in an oscillator with a vibro-impact attachment. In R. A. Ibrahim, M. Okuma, R. A. I. Ibrahim, V. I. Babitsky, M. Okuma, & B. Babitsky (Eds.), Vibro-Impact Dynamics of Ocean Systems and Related Problems (pp. 173-178). (Lecture Notes in Applied and Computational Mechanics; Vol. 44). https://doi.org/10.1007/978-3-642-00629-6_17