2016
DOI: 10.3390/app6050135
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Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis

Abstract: 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… Show more

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Cited by 16 publications
(11 citation statements)
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“…The inclusion of the two transverse polarisations in the modeling of vibrating strings with contact is also seldom seen in the literature. A rst attempt has been proposed in [35] for the case of the violin, where nite dierences are employed to model a linear bowed string motion, including interactions between the string and ngers as well as the ngerboard. Early developments are also shown in [36], extending the study presented in [33].…”
Section: Introductionmentioning
confidence: 99%
“…The inclusion of the two transverse polarisations in the modeling of vibrating strings with contact is also seldom seen in the literature. A rst attempt has been proposed in [35] for the case of the violin, where nite dierences are employed to model a linear bowed string motion, including interactions between the string and ngers as well as the ngerboard. Early developments are also shown in [36], extending the study presented in [33].…”
Section: Introductionmentioning
confidence: 99%
“…In the recent years a number of advances have been done in several fields of computational acoustics, from the emulation of 3D spaces by finite difference modelling [1] to nonlinear strings [2] and plates [3]. Among well-known methods [4], [5], some rely on an accurate description of a physical setting, and its parameters, thus, can be measured from real settings or purportedly generated to simulate a specific one.…”
Section: Introductionmentioning
confidence: 99%
“…Most of the methods presented in the last years use a regularisation in order to treat numerically the contact force, see e.g. the energy-conserving schemes proposed by Desvages and Bilbao, 2015;Ducceschi et al, 2016) and by van Walstijn et al (Chatziioannou and van Walstijn, 2015;, the modal approach proposed in (Issanchou et al, 2017) or the approach followed in (Inácio et al, 2006) to model the interaction between a puja (exciting stick) and a Tibetan bowl. In all these studies the contact force is modeled using a power-law method with two parameters defining the stiffness of the repelling force, thus allowing to cover a wide range of contact laws, from soft collisions, see e.g.…”
Section: Introductionmentioning
confidence: 99%