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Title | Grazing bifurcations and basins of attraction in an impact-friction oscillator |
Publication Type | Journal Article |
Year of Publication | 1999 |
Authors | LN Virgin, and CJ Begley |
Journal | Physica D: Nonlinear Phenomena |
Volume | 130 |
Issue | 1-2 |
Start Page | 43 |
Pagination | 43 - 57 |
Date Published | 01/1999 |
Abstract | This paper describes some interesting global dynamic behavior in the response of a double-sided, harmonically-forced, impact oscillator including the influence of Coulomb damping. The system under study is modeled as piecewise linear in both its force-deflection and force-velocity characteristics. Grazing bifurcations caused by this latter effect are a new feature. The paper has two distinct but related foci. First, the study of basins of attraction provides information regarding the complete solution set for the system, given a specific set of parameters. Second, grazing bifurcations represent the primary source of sudden change in qualitative behavior as a system parameter is varied. The numerical technique of cell-to-cell mapping provides a useful insight into the relation between these two. Thus, both local and global issues are addressed - indeed it is the interplay of periodic attractors and their basins of attraction that dominates bifurcational behavior. ©1999 Elsevier Science B.V. All rights reserved. |
Short Title | Physica D: Nonlinear Phenomena |