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

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ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Theory and Mathematics

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

Complex structure of periodic orbits in an oscillator with a vibro-impact attachment. / Lee, Young Sup; Nucera, Francesco; Vakakis, Alexander F.; Michael McFarland, D.; Bergman, Lawrence A.

Vibro-Impact Dynamics of Ocean Systems and Related Problems. ed. / Raouf A. Ibrahim; Masaaki Okuma; Raouf A. I Ibrahim; Vladimir I. Babitsky; Masaaki Okuma; Babitsky Babitsky. 2009. p. 173-178 (Lecture Notes in Applied and Computational Mechanics; Vol. 44).

Research output: Chapter in Book/Report/Conference proceedingChapter

Lee, YS, Nucera, F, Vakakis, AF, Michael McFarland, D & Bergman, LA 2009, Complex structure of periodic orbits in an oscillator with a vibro-impact attachment. in RA Ibrahim, M Okuma, RAI Ibrahim, VI Babitsky, M Okuma & B Babitsky (eds), Vibro-Impact Dynamics of Ocean Systems and Related Problems. Lecture Notes in Applied and Computational Mechanics, vol. 44, pp. 173-178. https://doi.org/10.1007/978-3-642-00629-6_17
Lee YS, Nucera F, Vakakis AF, Michael McFarland D, Bergman LA. Complex structure of periodic orbits in an oscillator with a vibro-impact attachment. In Ibrahim RA, Okuma M, Ibrahim RAI, Babitsky VI, Okuma M, Babitsky B, editors, Vibro-Impact Dynamics of Ocean Systems and Related Problems. 2009. p. 173-178. (Lecture Notes in Applied and Computational Mechanics). https://doi.org/10.1007/978-3-642-00629-6_17
Lee, Young Sup ; Nucera, Francesco ; Vakakis, Alexander F. ; Michael McFarland, D. ; Bergman, Lawrence A. / Complex structure of periodic orbits in an oscillator with a vibro-impact attachment. Vibro-Impact Dynamics of Ocean Systems and Related Problems. editor / Raouf A. Ibrahim ; Masaaki Okuma ; Raouf A. I Ibrahim ; Vladimir I. Babitsky ; Masaaki Okuma ; Babitsky Babitsky. 2009. pp. 173-178 (Lecture Notes in Applied and Computational Mechanics).
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