MUS420/EE367A Lecture 7
Mass Striking a String (Simplified Piano Model)

Julius O. Smith III ( send email )
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University
Stanford, California 94305

Detailed Contents (and Navigation)

• Ideal String Struck by a Mass
  • Physical Model
    (Ideal String Struck by a Mass)
  • Equivalent Circuit
    (Ideal String Struck by a Mass)
  • Equivalent Circuit Analysis
  • Laplace Transform Analysis
  • Motion from Initial Conditions
  • Observations
  • Momentum Transfer
  
  
• Looking at the Mass from the String
  • Force Wave Variables
  • Digital Waveguide Model
  • DWM, Cont'd
  
  
• Simplified Impedance Analysis
  • Mass Reflectance
  • Mass Transmittance
  • Wave Scattering by a Mass on a String
  • One-Filter Scattering Junction
  
  
• Digital Waveguide Model:
  Ideal String Struck by a Mass
  • Digitized Mass Reflectance
  • Why is the Mass Reflectance a DC-Blocker?
  • Final Digital Waveguide Model
    (Mass-Terminated String)
  • Final Notes
  
  
• About this document ...