Forced Self-Excited Vibration with Dry Friction

Yoshitake, Yumiko

doi:10.1142/9789812796301_0010

Cited by 22 publications

(22 citation statements)

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“…A small number of publications show non-conventional bifurcations in Filippov systems which can not be understood with the classical bifurcation theory for smooth systems, see for instance [28,152]. Yoshitake and Sueoka [152] address Floquet theory and remark that the Floquet multipliers 'jump' at the bifurcation point. The work of Feigin [30][31][32][33] and di Bernardo et al [24][25][26] studies non-conventional bifurcations in Filippov systems by means of mappings and refers to those bifurcations as 'C-bifurcations'.…”

Section: Nonlinear Dynamics and Bifurcationsmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Leine¹,

Nijmeijer²

2004

Lecture Notes in Applied and Computational Mechanics

547

589

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Section: Nonlinear Dynamics and Bifurcationsmentioning

confidence: 99%

“…In this subsection a multiple crossing bifurcation is studied which occurs in a forced stick-slip system (see also [152]). The system depicted Figure 9.18 is similar to the stick-slip system of Section 6.5.1 (Figure 6.4) without linear damping and with a sinusoidal excitation.…”

Section: Multiple Crossing Bifurcationsmentioning

confidence: 99%

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Leine¹,

Nijmeijer²

2004

Lecture Notes in Applied and Computational Mechanics

547

589

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“…In 1991, Narayanan and Jayaraman [26] used the approximate method to investigate the periodic motions and stability and numerically demonstrated chaos in chaos in a non-linear oscillator with Coulomb damping. Recent investigation on forced self-excited vibration with dry friction was given by Yoshitake and Sueoka [27] through the discontinuous model. Of course, many researches on continuous models of frictional oscillator can be found.…”

Section: A Friction Oscillator With Flow Barriermentioning

confidence: 99%

Flow switching bifurcations on the separation boundary in discontinuous dynamical systems with flow barriers

Luo

2007

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, the flow passability on the separation boundary is investigated in discontinuous dynamic systems with flow barriers. The concepts of the flow barriers in discontinuous dynamical systems are introduced first. Because of the flow barriers existing on the separation boundary, the singularities of the flow on such a separation boundary will be changed accordingly. Therefore, the switching bifurcations from passable to non-passable flow or from non-passable to passable flow on the discontinuous boundary are discussed in this paper. Further, the necessary and sufficient conditions for the switching bifurcation and sliding fragmentation in discontinuous dynamical systems with flow barriers are developed. A periodically forced friction oscillator with static dry-friction is investigated as a sample problem for illustration of a flow into the flow barrier. This sample problem can be used to the cutting dynamics in manufacturing and brake system in automobile industry. This paper presents an efficient method to determine the flow passability on the boundary in discontinuous dynamical systems. The sliding mode control can be easily realized through the appropriate conditions as in this paper.

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“…Based on the local singularity theory, the grazing motion to the separation boundary and the sliding motion on the separation boundary in discontinuous dynamical systems were discussed through the piecewise linear systems (e.g., [11,12,19]) and friction-induced oscillator (e.g., [33][34][35][36]). Other contributions on friction-induced vibrations can be found (e.g., [37][38][39][40][41][42][43][44][45][46][47][48]). For instance, in 1979, Hundal [37] further discussed the dynamical responses of the base driven friction oscillator.…”

Section: Introductionmentioning

confidence: 99%

“…In 1991, Narayanan and Jayaraman [44] used the approximate method to investigate the periodic motions and stability and numerically demonstrated chaos in chaos in a nonlinear oscillator with Coulomb damping. Recent investigation on forced self-excited vibration with dry friction was given by Yoshitake and Sueoka [45] through the discontinuous model. In 2004, Li and Feng [46] presented the bifurcation and chaos in friction-induced vibration through a nonlinear friction model.…”

Section: Introductionmentioning

confidence: 99%