Laboratory for Dynamics of Machines and Structures
Structural-acoustic model of a rectangular plate-cavity system with an attached distributed mass and internal sound source: theory and experiment
M.Pirnat,
G.Čepon and
M.Boltežar
Journal of Sound and Vibration, Volume 333, Issue 7, 31 March 2014, Pages 2003-2018
In this paper three approaches are combined to develop a structural-acoustic
model of a rectangular plate-cavity system with an attached distributed mass
and internal sound source. The First approach results from a recently presented
analysis based on the Raylegih-Ritz method and is used to circumvent
the difficulties in obtaining the natural frequencies and mode shapes of a plate
with an attached, distributed mass. Furthermore, di
erent plate boundary
conditions can be accommodated. The resulting mode shapes are dened as
continuous functions; this is advantageous as they can be directly used in
the second approach, i.e., the classic modal-interaction approach in order to
obtain the coupled equations of the system. Finally, in the third approach a
group of point sources emitting a pressure pulse in the time domain is used
to model an internal sound source. For the validation of the developed model
an experiment was conducted in two congurations using a simply supported
aluminium plate and a clamped plate coupled with a plexiglas box containing
a loudspeaker. Good agreement was found between the analytical and
experimental data.