Modeling of tension modulation nonlinearity in plucked strings

Tolonen, Tero; Välimäki, Vesa; Karjalainen, Matti

doi:10.1109/89.841212

Cited by 48 publications

(40 citation statements)

References 21 publications

(42 reference statements)

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“…Depending on the bandwidth and richness of the input signal, it is quite easy to generate very complex spectra, which might be objectionable in some cases. This increase in brightness has also been observed in other applications of audio-rate mod ulation of delay lines (Välimäki, Tolonen, and Karjalainen 1998;Tolonen, Välimäki, and Karjalainen 2000).…”

Section: Phase Modulation Through Heterodyningmentioning

confidence: 69%

The Generation of Natural-Synthetic Spectra by Means of Adaptive Frequency Modulation

Lazzarini

Timoney

Lysaght

2008

Computer Music Journal

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Section: Phase Modulation Through Heterodyningmentioning

confidence: 69%

The Generation of Natural-Synthetic Spectra by Means of Adaptive Frequency Modulation

Lazzarini

Timoney

Lysaght

2008

Computer Music Journal

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“…The problem of tension modulation is often considered in acoustics, since tension modulation can have a significant effect on the timbre and pitch associated with the vibrations of a string or membrane. There is a significant literature on how to incorporate tension modulation into models of vibrating strings [3,11,15, e.g.] and vibrating membranes [2, e.g.].…”

Section: General Background To Membrane Modelsmentioning

confidence: 99%

“…In contrast, the statically-loaded equivalent of the Kirchhoff-Carrier equation (used in models of vibrations with tension modulation [2,3,15]) takes the form…”

Section: Tension Modulation In a Strandmentioning

confidence: 99%

Structural modelling of deformable screens for large door openings

Hall

Mason

Psaltis³

et al. 2016

ANZIAMJ

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The mathematical modelling of deformable, permeable screen doors was explored to assess their behaviour under wind loading. A loadresponse model was proposed whereby the wind load was modelled using a simplified approach that allowed it to be approximated as a uniformly distributed pressure load with empirical modification factors applied to relate it to the real case of a door on a building. Several approaches were adopted to model the mechanical behaviour of the door system in response to load, including discrete models based on massspring systems, continuum models based on the membrane equations Contents M56(including tension modulation in some cases), and computational models using finite element packages. The primary aim of the work was to determine the distribution of wind load to the door's supporting 'tabs' and estimate a failure wind speed. The mass-spring model and the membrane models without tension modulation both generated unrealistic deflection magnitudes in response to wind load, but could be calibrated in future work, and then used to obtain an estimate of the total force on the tabs. A tension-modulated version of the membrane model performed better with regards to deflected shape and magnitude, but time constraints meant that the load on the tabs was not calculated. Preliminary validation experiments were undertaken and deflected shape and magnitude were successfully measured in response to given wind speeds.

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“…See, for example, [20,38,39,40,44,45,46,47,55,81,80]. Digital computational models of stringed instruments have been under active development since at least the 1960s [6,8,9,17,19,18,23,24,30,29,50,52,59,58,62,63,64,66,71,75,76,78,77,79].…”

Section: Vibrating Stringsmentioning

confidence: 99%