Piano Modeling

In this section we consider further issues with respect to string instrument modeling in general, and the piano in particular. An excellent set of five lectures on the acoustics of the piano is available online.

Acoustic Background

  1. Aspects of Construction:

  2. Coupled Strings:

  3. Hammer-String Interaction:
    Figure 2: Modern grand piano action (from ``From touch to string vibration'' by Anders Askenfelt & Erik Jansson).
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  4. The Soundboard:

Dispersion in Strings

Dispersive Waveguide Modeling

High Note Modeling

Hammer Input

A Commuted Hammer Model

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