The tribology of rosin

Smith, J.H.; Woodhouse, J.

doi:10.1016/s0022-5096(99)00067-8

Cited by 76 publications

(58 citation statements)

References 17 publications

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“…They used these measurements to demonstrate the inadequacy of the friction-curve model for their particular system and materials. A somewhat similar experiment by Smith & Woodhouse [46] used a cantilever-like oscillator driven into stick-slip vibration by a rosin-coated rod to provide evidence for the required friction model for rosin. A related experiment by Schumacher and co-workers used a vibrating string rather than a cantilever, 'bowed' by a rosin-coated glass rod.…”

Section: (D) Other Measurements Other State Variablesmentioning

confidence: 99%

“…The glass transition temperature is typically only a little above normal room temperature, so that the mechanical properties vary very rapidly with small changes in local temperature. Based on a variety of evidence, it has been argued that temperature is the most important state variable for rosin friction [46]. However, most of the early literature on the violin string, in common with many other friction-driven vibration problems, was based on the friction-curve model in which instantaneous sliding speed was assumed to be the only relevant input variable.…”

Section: (C) the Bowed Violin Stringmentioning

confidence: 99%

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Are there reliable constitutive laws for dynamic friction?

Woodhouse

Putelat

McKay

2015

Phil. Trans. R. Soc. A.

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Structural vibration controlled by interfacial friction is widespread, ranging from friction dampers in gas turbines to the motion of violin strings. To predict, control or prevent such vibration, a constitutive description of frictional interactions is inevitably required. A variety of friction models are discussed to assess their scope and validity, in the light of constraints provided by different experimental observations. Three contrasting case studies are used to illustrate how predicted behaviour can be extremely sensitive to the choice of frictional constitutive model, and to explore possible experimental paths to discriminate between and calibrate dynamic friction models over the full parameter range needed for real applications.

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Section: (D) Other Measurements Other State Variablesmentioning

confidence: 99%

Section: (C) the Bowed Violin Stringmentioning

confidence: 99%

Are there reliable constitutive laws for dynamic friction?

Woodhouse

Putelat

McKay

2015

Phil. Trans. R. Soc. A.

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“…This is not always the case. For example, with different contacting materials, it is possible that the interfacial temperature becomes the key parameter governing the relation between F and N [20]. In this case, thermal inertia of the contacting material creates a phase lag between the variations of F and N: This behaviour characteristically appears as a hysteresis loop in a F À N plot.…”

Section: Influence Of a Complex Ementioning

confidence: 99%

Instability of systems with a frictional point contact. Part 1: basic modelling

Duffour

Woodhouse

2004

Journal of Sound and Vibration

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In a companion paper, a theory was presented which allows the study of the linear stability of a class of systems consisting of two subsystems coupled through a frictional contact point. A stability criterion in terms of transfer functions was derived and used to simulate the behaviour of generic systems. In the present paper, this approach was pursued and generalized by relaxing in turn certain of the assumptions made earlier. By doing this, it is possible to catalogue systematically all the routes to instability conceivable within the scope of linearity for the class of systems considered. The additional routes to instability identified are as follows. First, the contact point was made compliant by adding a linear contact spring at the interface between the two subsystems. This feature proved to have a significant influence on stability when the contact spring stiffness takes values of the same order of magnitude or lower than that of the average structural stiffness of the system. Second, a route to instability is possible if the system structural damping possesses a slight non-proportional component. The last and most elaborate extension consisted in allowing the coefficient of friction to vary linearly with the sliding speed. Simulation results suggest that a coefficient falling with increasing sliding speed can destabilize an otherwise stable system or can make it even more unstable. In accordance with previous results, a coefficient of friction rising with the sliding speed tends to make a system more stable, although this is not systematic. The theory presented here allows these possible routes to instability to be combined, so that data from vibration measurements or modelling and from frictional measurements can be used directly to predict the region of instability in parameter space. r

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“…This is the result of compromising between physical accuracy, computational complexity, and (subjective) synthetic sound quality. Some features, for instance, have been neglected for dramatically increasing the algorithmic complexity and computational load, while having very little influence to both the output sound and the control quality; this is the case for e.g., the nonlinear intrinsic coupling between the two polarisations of the string, or the thermal properties of the rosin layer coating the bow [42]. Torsion waves are also excluded; although, when present, their synchronisation with transverse waves has been experimentally shown to strongly contribute to tone quality and stability [43], their presence (or absence) may not have a strong bearing on the playability and synthetic sound quality of a simplified physical model [25].…”

Section: Contextmentioning

confidence: 99%

“…ϕ B (v rel,B ) is a dimensionless friction coefficient, depending on v rel,B , the relative velocity between the bow hair and the string. These are defined as [42]:…”

Section: Bowmentioning

confidence: 99%

Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis

Desvages

Bilbao

2016

Applied Sciences

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Recent bowed string sound synthesis has relied on physical modelling techniques; the achievable realism and flexibility of gestural control are appealing, and the heavier computational cost becomes less significant as technology improves. A bowed string sound synthesis algorithm is designed, by simulating two-polarisation string motion, discretising the partial differential equations governing the string's behaviour with the finite difference method. A globally energy balanced scheme is used, as a guarantee of numerical stability under highly nonlinear conditions. In one polarisation, a nonlinear contact model is used for the normal forces exerted by the dynamic bow hair, left hand fingers, and fingerboard. In the other polarisation, a force-velocity friction curve is used for the resulting tangential forces. The scheme update requires the solution of two nonlinear vector equations. The dynamic input parameters allow for simulating a wide range of gestures; some typical bow and left hand gestures are presented, along with synthetic sound and video demonstrations.

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The tribology of rosin

Cited by 76 publications

References 17 publications

Are there reliable constitutive laws for dynamic friction?

Are there reliable constitutive laws for dynamic friction?

Instability of systems with a frictional point contact. Part 1: basic modelling

Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis

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