NON-SMOOTH BIFURCATION OF A PLASTIC IMPACTING OSCILLATOR
WEI DongMei
JIN Hua
LÜ XiaoHong
WANG Xin
Abstract：A single degree-of-freedom plastic impacting oscillator was considered under the conditions of grazing and codimension-1 bifurcations.Based on the two-and one-dimensional parameters bifurcation analysis,the bifurcation characteristics of single-impact periodic motions was studied.The non-smooth bifurcations such as crossing-sliding,switching-sliding and codimension-2 sliding bifurcations as well as the discontinuous bifurcations such as grazing bifurcation and boundary crisis were revealed.The non-sticking periodic motion and sticking periodic motion transit into each other via a crossing-sliding bifurcation.In the two-dimensional parameter region of the low frequency and small clearance,the periodic motions(1,1,1)and(1,2,1)are distributed alternately.The boundary between the two types of periodic motions is a switching-sliding bifurcation curve.The boundary crisis of chaos occurs leading the chaotic attractor and its basin to vanish.
Keywords：Non-smooth systemPlastic impactSliding bifurcationGrazing bifurcationBoundary crisis
Publication Date：2024-04-15
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：8( 264-271 )