Grazing bifurcations in impact oscillators
WebDec 1, 1994 · Impact oscillators demonstrate interesting dynamical features. In particular, new types of bifurcations take place as such systems evolve from a nonimpacting to an … 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
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WebJun 1, 2024 · Grazing bifurcations of the impact oscillators subjected to harmonic force can be induced by grazing contacts between the trajectory of oscillators and rigid constraints. When such events happen, abrupt changes of the system responses, i.e. creation of chaos or jump phenomena, can be observed. WebThe grazing bifurcations are computed and classified for both oscillators. Two-parameter smooth (period-doubling, saddle-node) and non-smooth (grazing) bifurcations are …
WebAnalytical and experimental investigations on bifurcation scenarios for an impact oscillator with a one-sided elastic constraint near grazing were presented by Ing et al. [45], [46]. Dynamics near grazing is thought to be governed by a complex interplay between smooth and non-smooth bifurcations. 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.
WebNov 15, 2012 · A two-parameter bifurcation analysis is performed on a mathematical model that represents the motion of a pressure relief valve connected to a reservoir via a pipe and it is found that there are two independent forms of Hopf b ifurcation: a so-called valve-only instability and a coupled acoustic resonance. 13 PDF View 2 excerpts, cites background WebDec 22, 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 GPU parallel computing technology. By using the technology, a further understanding of the near-grazing dynamics can be developed for …
WebOct 20, 2024 · As a typical non-smooth bifurcation, grazing bifurcation can induce instability of elementary near-grazing impact periodic motion in impact oscillators. In this paper, the stability for near-grazing period-one impact motion to suppress grazing-induced instabilities is analyzed, based on which, a control strategy is proposed. The commonly …
WebImpact oscillators demonstrate interesting dynamical features. In particular, new types of bifurcations take place as such systems evolve from a nonimpacting to an impacting … costello \u0026 associatesWeb× Close. The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. mache cargoWebGrazing bifurcations in impact oscillators Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Dec;50 (6):4427-4444. doi: 10.1103/physreve.50.4427. Authors W Chin , E Ott , HE Nusse , C Grebogi PMID: 9962524 DOI: 10.1103/physreve.50.4427 costellos moonee pondscostello trump attorneyWebJul 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 … costello \\u0026 coWebNov 15, 2012 · Grazing bifurcations and chattering The system (2.3) can be written in the form (3.6) x = F ( x, μ) if H ( x) > 0 together with the reset map (impact law) (3.7) x ↦ R ( x) if H ( x) = 0, in which x ∈ R n ( n = 3 for this example, but to be general we give a description that is valid for arbitrary dimensional systems). costello \\u0026 greydanusWebNov 1, 2024 · Grazing bifurcations are typical non-smooth bifurcations that occur in impact oscillators. They are described by a discrete map with square-root singularities. In this paper we study the structure of… 8 Normal form maps for grazing bifurcations in n -dimensional piecewise-smooth dynamical systems M. Bernardo, C. Budd, A. Champneys … mache carro