Forced Vibration of a Base-Excited Single-Degree-of-Freedom System With Coulomb Friction

The coefficient of friction is measured during relative oscillation between sliding surfaces. Measurements are made during regular oscillations in which the excitation has a modulated amplitude, and during chaotic oscillations in which the excitation amplitude is fixed. The friction force is measured for paper on paper, and titanium on titanium. A friction law is derived based on observations from the measurements. This friction law is applied to a simulation model of an experimental forced oscillator. The simulated and experimental oscillators have similar qualitative dynamical features in the phase space.

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“…Other mechanisms may be at work. For example, friction oscillations have been attributed to load cell dynamics in the past [29,32,38].…”

Section: Interpretation and Discussionmentioning

confidence: 99%

“…Marui and Kato [32] experimentally studied stick-slip in a forced oscillator, and included friction measurements. Srinivasan [44] measured equivalent friction coefficients for tungstencoated titanium surfaces whose relative displacement was sinusoidal, for various frequencies, amplitudes, and normal loads.…”

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confidence: 99%

Empirical dry-friction modeling in a forced oscillator using chaos

Feeny

Moon

2006

Nonlinear Dyn

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“…4.2 shows a friction oscillator with external excitation, it dates back to 1931, Den Hartog [8]. Harmonic or random excitation has been investigated by Marui, Kato [44], Shaw [76], Moser [47]. Friction oscillators with pure self excitation, Fig.…”

Section: Problems With Frictionmentioning

confidence: 99%

Non-smooth mechanical systems — an overview

Popp

1998

Forsch Ing-Wes

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The following overview on non-smooth dynamical systems is given from an application point of view. The aim is to show that real world problems often lead to non-smooth systems and, thus, there is a need to deal with such problems. Moreover, further work shall be stimulated by demonstrating some examples of practical relevance. At present, non-smooth systems are a challenge to engineers and mathematicians as well. Nichtglotte mechonische $ysteme -Eine UbersichtZusammenfassung Die folgende Ubersicht fiber nichtglatte dynamische Systeme erfolgt ausgehend yon einem anwendungsorientierten Standpunkt. Ziel ist es zu zeigen, daft reale technische Fragestellungen h/iufig zu nichtglatten Systemen fiLhren und deshalb die Notwendigkeit der Behandlung dieser Problemklasse besteht. Auflerdem sollen durch das Aufzeigen konkreter praxisrelevanter Beispiele weiterffihrende Arbeiten stimuliert werden. Gegenw/irtig stellen nichtglatte dynamische Systeme eine Herausforderung sowohl fiir Ingenieure als auch fiir Mathematiker dar.

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“…Following an idea of Mueller [23] we can identify the friction force from a measured time series by means of an extended state observer. A linear system equation (9) can be associated with equation (5) d" = zi.~ + bFR(~-), (9) -…”

Section: Identification Of the Friction Characteristicmentioning

confidence: 99%

Nonlinear vibrations of structures induced by dry friction

Stelter

1992

Nonlinear Dyn

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The chattering of machine tools, the squealing noise generated by tram wheels in narrow curves and the noise of band saws are examples of physical processes in which elastic structures exhibit self-sustained stick-slip vibrations. The nonlinear contact forces are often due to dry friction. Periodic, multiperiodic, and chaotic motions can occur, depending on the parameters.Because the governing equations of motion are non-integrable, solutions can only be determined by numerical integration methods. The numerical investigations of continuous structures requires the modal approach to reduce the number of degrees of freedom.As an example, a beam system has been investigated numerically and experimentally in this paper. The nonlinear motion of a point of the continuous structure has been measured by a specially developed laser vibrometer.The friction characteristic has been measured directly and identified from a measured time series by means of a modal state observer. The correlation dimension, which represents a lower bound of the fractal dimension, has been calculated using the correlation integral method from a measured time series of the beam system.

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Forced Vibration of a Base-Excited Single-Degree-of-Freedom System With Coulomb Friction

Cited by 39 publications

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Empirical dry-friction modeling in a forced oscillator using chaos

Empirical dry-friction modeling in a forced oscillator using chaos

Non-smooth mechanical systems — an overview

Nonlinear vibrations of structures induced by dry friction

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