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Grazing bifurcations in impact oscillators

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 https://aweb2see.com

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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

International Journal of Mechanical Sciences

Category:(colour online) Bifurcation diagram for the mass displacement …

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Grazing bifurcations in impact oscillators

Feedback Control of Grazing-Induced Chaos in the Single …

WebThe grazing bifurcations are computed and classified for both oscillators. Two-parameter smooth (period-doubling, saddle-node) and non-smooth (grazing) bifurcations are … WebNov 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 …

Grazing bifurcations in impact oscillators

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WebAug 25, 2009 · Normal Form Maps for Grazing Bifurcations in n-Dimensional Piecewise-Smooth Dynamical Systems,” Physica D. 0167-2789, 160 (3–4 ... Bifurcations Caused by Grazing Incidence in Many Degrees of Freedom Impact Oscillators,” Proc. R. Soc. London, Ser. A. 1364-5021, 453, pp. WebIn this paper, the concept of discontinuity geometry of rigid impact oscillators is extended to soft impact oscillators and the mechanisms of grazing bifurcations of an impact...

WebImpact oscillators demonstrate interesting dynamical features. In particular, new types of bifurcations take place as such systems evolve from a nonimpacting to an impacting … WebGrazing 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 …

WebIn this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional piecewise-smooth dynamical systems, particularly Continuous PWS and Discontinuous PWS (or Filippov-type PWS) … WebGuo studied the existence and bifurcations of periodic motions in a discontinuous dynamical ... When the relative phase space trajectories of two vibrators are tangent to the impact boundary, the grazing bifurcation occurs. ... D. Impacting chatter and stick in a transmission system with two oscillators. J. Multi-Body Dyn. 2009, 223, 159–188 ...

WebApr 8, 2024 · This paper investigates differences between the grazing-induced bifurcations in impact oscillators with one-sided elastic and rigid constraints by a path-following (continuation) method.

WebThe simplest grazing bifurcations involve orbits of period-1, but we show that the same analytical methods can be used to locate some subharmonics and their bifurcations. 1. Introduction ... In these mechanical engineering examples of impact oscillators, the primary problems caused by the successive impacts are noise and wear. Another rich rafter extension patio coverWebFeature papers represent the most advanced research with significant potential for high impact in the field. ... [27,28] and of the related phenomena of sliding and grazing bifurcations [29,30,31]. Classic ... The question is now how the structure of synchronization regimes changes if we replace the interacting smooth oscillators with a system ... rafter equipment corporationWebJun 8, 1997 · Abstract. The transition from stable periodic non-impacting motion to impacting motion is analysed for a mechanical oscillator. By using local methods, it is … rafter framing calculator