Related Experiment Video
Updated: Jul 6, 2026

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
Published on: April 13, 2016
Numerical simulation of a piano soundboard under downbearing
Adrien Mamou-Mani1, Joël Frelat, Charles Besnainou
1Institut Jean Le Rond d'Alembert, UPMC/CNRS, Paris, Ile de France, 75005, France. mamou-mani@lmm.jussieu.fr
Abstract:
A finite element model of a piano soundboard is used to study the effect of the strings tension (downbearing) on its vibration, considering the ribs, the bridges and the crown. The downbearing is modeled with the prestress theory. Prestress calculation with linear and nonlinear models including geometric rigidity are compared in terms of the modal frequencies. The effects of the downbearing in modal frequencies and mobility are investigated and the importance of the crown on these results is evaluated. A simple phenomenological law is exhibited, which characterizes the evolution of eigenfrequencies with downbearing, including the initial crown.
Related Concept Videos
Damped Oscillations
Although friction and other non-conservative...
Types of Damping
Sound as Pressure Waves
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Torsional Pendulum
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played by the...
Intensity and Pressure of Sound Waves
Unlike the time average of a sinusoidal term, which is zero since it is positive and...
Standing Waves in a Cavity

