Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction

Harry Dankowicz, Fredrik Svahn

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The onset of low-velocity collisions in vibro-impacting systems induces instabilities in the system dynamics that, when not checked, may result in sudden, and unanticipated discontinuous transitions between distinct steady-state responses. This paper illustrates this phenomenology in an example system that includes dry friction. Here, the instability is associated with the zero-velocity contact of an oscillatory unilateral constraint and a stationary mass suspended through a preloaded spring. The analysis summarizes observations on the passive response of the mass under variations in the oscillation amplitude of the constraint. A control strategy is subsequently shown to successfully suppress the instability. The paper concludes with suggestions for applications of this phenomenology as well as a description of similar observation in mechanical systems with or without friction and with rigid as well as compliant contact.

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
Pages41-52
Number of pages12
DOIs
StatePublished - Dec 1 2009

Publication series

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

Fingerprint

Friction
Dynamical systems

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Theory and Mathematics

Cite this

Dankowicz, H., & Svahn, F. (2009). Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction. 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. 41-52). (Lecture Notes in Applied and Computational Mechanics; Vol. 44). https://doi.org/10.1007/978-3-642-00629-6_5

Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction. / Dankowicz, Harry; Svahn, Fredrik.

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. 41-52 (Lecture Notes in Applied and Computational Mechanics; Vol. 44).

Research output: Chapter in Book/Report/Conference proceedingChapter

Dankowicz, H & Svahn, F 2009, Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction. 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. 41-52. https://doi.org/10.1007/978-3-642-00629-6_5
Dankowicz H, Svahn F. Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction. 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. 41-52. (Lecture Notes in Applied and Computational Mechanics). https://doi.org/10.1007/978-3-642-00629-6_5
Dankowicz, Harry ; Svahn, Fredrik. / Control of instabilities induced by low-velocity collisions in a vibro-impacting system with friction. 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. 41-52 (Lecture Notes in Applied and Computational Mechanics).
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