Physical Modeling of the Piano
نویسندگان
چکیده
منابع مشابه
Physical Modeling of the Piano
A project aimed at constructing a physical model of the piano is described. Our goal is to calculate the sound produced by the instrument entirely from Newton's laws. The structure of the model is described along with experiments that augment and test the model calculations. The state of the model and what can be learned from it are discussed.
متن کاملModeling the grand piano
A global model of a piano is presented. Its aim is to reproduce the main vibratory and acoustic phenomena involved in the generation of a piano sound from the initial blow of the hammer against the strings to the radiation from soundboard to the air. One first originality of the work is due to the string model which takes both geometrical nonlinear effects and stiffness into account. Other sign...
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The grand piano action is modeled as a set of four rigid bodies using Kane’s method. Computerized symbol manipulation is utilized to streamline the formulation of the equations of motion so that several models can be considered, each of increasing detail. Various methods for checking the dynamical model thus derived are explored. A computer animation driven by simulation of the equations of mot...
متن کاملModeling the Longitudinal Vibration of Piano Strings
This study is motivated by the physical modeling of the longitudinal string vibrations in the piano. Informal listening tests show that the longitudinal vibrations play an important role in the attack of the sound, and are responsible for the metallic character of low notes. First, a simple mathematical model is developed for qualitative understanding. Detailed analysis is given for sinusoidal ...
متن کاملModeling the grand piano . Numerical Aspects
This paper deals with the discretization of the global piano model described in [2]. We have to solve a complex system of coupled equations, where each subsystem has different spatial dimensions, which poses specific difficulties. The hammer-strings part is a 1D system governed by nonlinear equations. The soundboard is a 2D system with diagonal damping. The acoustic field is a 3D problem in an ...
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ژورنال
عنوان ژورنال: EURASIP Journal on Advances in Signal Processing
سال: 2004
ISSN: 1687-6172,1687-6180
DOI: 10.1155/s111086570440105x