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ICA 95, Trondheim (Norvège), 1995
where can be writren as :
where are respectively the eigen values and the eigen vectors of equation(1)
The response at the point r to a sinusoidal excitation at the point s can be expressed using the eigen values and the eigen vectors of equation (1) :
The displacement x(t) resulting from an excitation can be computed using the formula :
Figure 1: Modes resulting from the curve-fiting of measurements
The sound pressure p(r) and the acoustic velocity resulting from the vibrations of a baffled plate moving with normal acceleration are given by :
The active intensity is the power radiated per unit surface.
It is given by the formula :
It is intersting to calculate the z componant of the active intensity near the soundboard in order to know which regions produce the acoustic power, in particular :
Computation of the normal Active Intensity at 5 centimeters of the soundboard
Active intensity field in a plane orthogonal to the plate for the mode 1 : 122Hz
The total power radiated by a source can be computed using :
Radiated power for several points excited by a 1N force
Radiation efficiency of the soundboard
Radiation efficiency of a soundboard having eigen values (frequency and damping) a factor 1.5 higher.
Server © IRCAM-CGP, 1996-2008 - file updated on .
Serveur © IRCAM-CGP, 1996-2008 - document mis à jour le .