Grazing bifurcations in impact oscillators

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August undefined, 2024

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. WebJun 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 …

Discontinuity-Induced Bifurcations in Systems With Hysteretic …

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 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. csr strategy vs strategic csr

Novel two-parameter dynamics of impact oscillators near …

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 WebJan 1, 2024 · To control the discontinuous grazing bifurcations in impact oscillators, a new control strategy by using the degeneration of both eigenvalues and grazing bifurcations was proposed in [29]. In all of those works, the higher order terms of the normal form map of the discontinuity mapping are omitted due to computational complexity. 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 W Chin , E Ott , HE Nusse , C Grebogi PMID: 9962524 DOI: 10.1103/physreve.50.4427 earache stress

Higher order zero time discontinuity mapping for analysis of …

Grazing bifurcations and basins of attraction in an impact …

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 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. earache strokeWebNov 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). csr strength

"WebFeature 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 ... " - Grazing bifurcations in impact oscillators

Grazing bifurcations in impact oscillators

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

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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 … WebMar 8, 2016 · The period motion maps and grazing bifurcations for soft and rigid impact oscillators have been investigated by many researchers including, respectively Luo (2005), Luo & Chen (2005) and Banerjee et al., who discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillator and showed that this abrupt onset to ...

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

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. 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 …

WebApr 13, 2024 · Simpson and R. Kuske, “ The influence of localized randomness on regular grazing bifurcations with applications to impacting dynamics,” J. Vib. Control 24, 407 ... “ The closed-form stationary probability distribution of the stochastically excited vibro-impact oscillators,” J. Sound Vib.

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... earache spellingWebThe 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 csr stress en burnoutWebOct 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 … earaches contagiousWebDec 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 … ear ache stressWebOct 31, 2024 · Based on the special dynamical property of continuous transition at certain degenerate grazing points in the single-degree-of-freedom impact oscillator, the control problem of the grazing-induced chaos is investigated in this paper. To design degenerate grazing bifurcations, we show how to obtain the degenerate grazing points of the 1/n … csrs tsp matchingWebIn 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) … earache stress relatedWebGrazing 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 … ear aches symptoms