Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Nakano, Ken; Maegawa, Satoru

doi:10.1002/ls.95

Cited by 31 publications

(25 citation statements)

References 23 publications

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“…As discussed in the Introduction, since the coefficient of Thomsen and Fidlin [17] cannot be applied to the exponential-type friction model, this coefficient was compared with those for only the polynomial-type friction model. The study results of [18][19][20][21] have no intrinsic difference from each other, so only the results of Galvanetto and Bishop [19] were included in the comparison. Figure 6 illustrates the pure slip damping coefficients versus belt speed V for the exponential-type friction model.…”

Section: Validation and Discussionmentioning

confidence: 99%

“…The drawback of this approach is that the occurrence criterion for the stick-slip motion cannot be obtained when the kinetic friction force is not a polynomial function of the relative velocity or when the force is an exponential function. Some researchers [18][19][20][21][22] also presented the occurrence criteria of the stick-slip motion for single-degree-of-freedom oscillators, which are expressed in terms of system parameters. Le Rouzic et al [18], Galvanetto and Bishop [19], Nakano and Maegawa [20], Liu and Chang [21] presented criteria for damped oscillators, while Kang et al [22] presented a criterion for undamped oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…Some researchers [18][19][20][21][22] also presented the occurrence criteria of the stick-slip motion for single-degree-of-freedom oscillators, which are expressed in terms of system parameters. Le Rouzic et al [18], Galvanetto and Bishop [19], Nakano and Maegawa [20], Liu and Chang [21] presented criteria for damped oscillators, while Kang et al [22] presented a criterion for undamped oscillators. However, their criteria were derived from the stability analyses around the equilibrium positions of the oscillators; therefore, they may have some errors in predicting the stick-slip occurrence of oscillators with considerable vibration amplitudes.…”

Section: Introductionmentioning

confidence: 99%

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Stick–slip vibration of an oscillator with damping

Won

Chung

2016

Nonlinear Dyn

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This paper proposes a new criterion for the occurrence of stick-slip vibration in an oscillator excited by a moving belt. Equations of motion were derived for a single-degree-of-freedom oscillator excited by the friction between the oscillator mass and a moving belt, considering two types of velocity-dependent friction models: exponential and polynomial. Based on the derived equations, dynamic responses were analyzed for various damping values, and it was found that the damping value determines the classification of oscillator motion among stick-slip, pure slip, and damped slip motions. Furthermore, a criterion for the occurrence of stick-slip motion, expressed in an integral form, was derived in terms of friction and damping forces. Using the least squares method, closed forms for the damping values to determine the occurrence of stick-slip vibration were obtained as functions of normal force, relative speed between contact surfaces, and friction parameters. In addition, the effects of the belt speed and of friction parameters on the occurrence of stick-slip vibration were also investigated.

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Section: Validation and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stick–slip vibration of an oscillator with damping

Won

Chung

2016

Nonlinear Dyn

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“…It has been known that stick-slip is caused by the difference between the static and kinetic friction, and it tends to appear at high contact loads and low driving speeds. A number of theoretical expressions have been proposed for describing the critical conditions for stick-slip in simple sliding systems [12][13][14][15]; they can be used to design robuststable sliding systems. However, the mechanism of stickslip remains to be elucidated; it is still not easy to precisely predict the onset of a global slip in sliding systems (e.g., earthquakes and mechanical clutches).…”

mentioning

confidence: 99%

Precursors of Global Slip in a Longitudinal Line Contact Under Non-Uniform Normal Loading

2010

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This article describes the mechanism of precursor events; the mechanism was determined through an experiment and simulation by considering non-uniform normal loading. In the experiment, real-time observations of a contact zone were performed using a longitudinal line contact of PMMA specimens (i.e., a slider on a stationary base block) under a total normal load of 400 N. Partial propagations of the detachment front were considered as precursor events, and it was found that non-uniform normal loading influences the occurrence frequency of the precursor events and the increasing rate of the propagation length. In the simulation, the time evolution of a multidegree-of-freedom system with Coulomb friction was studied. The model considered in the simulation comprised multiple masses serially connected by linear springs on a stationary rigid plane. By regarding the precursor in the experiment to correspond to a partial slip (i.e., simultaneous slip of some of the masses) in the simulation, the influence of non-uniform normal loading on the precursor events can be explained to a certain extent. Additionally, it was found that the apparent static friction coefficient (i.e., the ratio of the maximum tangential load to the total normal load) could be lesser than the real static friction coefficient due to the residual strain in the slider.

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“…Meanwhile, with a sample, the spring deflection varied greatly from that without a sample; it became smaller, due to the lubrication effect of the sample, but a sustained vibration was generated with a frequency corresponding to f n = 22 Hz, i.e., friction-induced vibration (or stick-slip) [23][24][25][26][27]. Moreover, several differences were found among the signals of different samples, e.g., the maximum value of the spring deflection and the amplitude of the frictioninduced vibration.…”

Section: Sliding Test 1 (St1)mentioning

confidence: 99%

Relationship Between Tactile Sensation and Friction Signals in Cosmetic Foundation

et al. 2009

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A tribometer was developed to simulate friction phenomena occurring when human fingers are rubbed together in order to acquire the tactile sensation of applying cosmetic foundation. The tribometer utilizes silicone-rubber surfaces with compliance comparable to that of human fingerpads; these surfaces are lubricated by 10 types of samples simulating cosmetic foundation. To characterize the samples, seven types of feature quantities are introduced from friction signals acquired in three types of sliding tests. The relationship between feature quantities and tactile sensation was investigated using a multiple regression analysis; resulting equations show some level of agreement with the score of a sensory assessment vis-a`-vis five types of tactile sensation. The results indicate that static and kinetic frictions are not always dominant factors in determining the comfort of tactile sensation in applying cosmetic foundation.

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Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems

Cited by 31 publications

References 23 publications

Stick–slip vibration of an oscillator with damping

Stick–slip vibration of an oscillator with damping

Precursors of Global Slip in a Longitudinal Line Contact Under Non-Uniform Normal Loading

Relationship Between Tactile Sensation and Friction Signals in Cosmetic Foundation

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