Impact of String Stiffness on Virtual Bowed Strings

Julius O. Smith III (jos at ccrma)
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Stefania Serafin, Julius O. Smith III
CCRMA (Music 420),
May, 2002

Detailed Contents (and Navigation)

• Overview
• Acoustics of bowed string instruments
• Elements of a Basic Bowed String Model
• Bow-String Interaction
• Modeling String Losses
• Analysis by Energy Decay Relief (EDR)
  • Violin G string
  
  
• Calculation of the decay rate of the partials
• Accounting for Torsional Waves
• Modeling the stiffness of the string
• Designing allpass filters for dispersion simulation
  • Results
  
  
• Accounting for the width of the bow
• Calculation of the playability
  • What does playability mean?
  
  
• Other kinds of motions
• Toward a Measure of Playability
  • The Schelleng diagram (1973)
  • Formulas for the Schelleng diagram
  
  
• Simulation Parameters
  • Playability space of the basic model
  • Playability waveforms of the basic model
  • Velocity versus force playability space of the basic model
  • 3D playability space of the basic model
  • Velocity versus force playability space of the damped model
  • Playability space of the model with torsional waves
  • Waveforms playability space of the model with torsional waves
  • Velocity versus force playability space of the model with torsional waves
  • 3D playability of the model with torsional waves
  • Velocity versus force playability of the model with stiffness
  • Playability of the model with stiffness
  • 3D playability of the model with stiffness
  
  
• Conclusions
• About this document ...