WebDec 2, 2024 · (9) and the direct numerical observations in terms of modeling and stability analysis for the degenerate grazing bifurcation case, the single degree-of-freedom impacting oscillator under harmonic excitation is taken as the example. The schematic model can be found in Fig. 1. WebOct 31, 2024 · To design degenerate grazing bifurcations, we show how to obtain the degenerate grazing points of the 1/n impact periodic motions by the existence and …
Grazing bifurcations in impact oscillators - PubMed
WebSep 1, 2024 · Following the previous work on the degenerate grazing bifurcations of impact oscillators, this paper aims to explore novel two-parameter dynamics near the … WebApr 1, 2024 · Following the previous work on the degenerate grazing bifurcations of impact oscillators, this paper aims to explore novel two-parameter dynamics near the degenerate grazing points using... rafter connectors
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WebNov 15, 2012 · The grazing bifurcation leads in the first case to a jump to a stable periodic orbit with one impact per two forcing periods (a ( 1, 2) -orbit) and in the second case to a continuous transition to a stable periodic orbit with one impact per three forcing periods (a ( 1, 3) -orbit). Let Conclusions WebMay 9, 2005 · These systems exhibit complex dynamics because of inherent nonlinearities due to impacts, friction, and electric forces. As a result, dramatic changes in system behavior, associated with so-called grazing bifurcations, may occur during the transition between impacting and nonimpacting dynamics, including the presence of robust chaos. WebJul 1, 2024 · Abstract and Figures This paper presents the analysis of the degenerate grazing bifurcation in a three-degree-of-freedom impact oscillator by studying the bifurcations of near-grazing... rafter deflection