A novel semianalytical approach based on the integral equation method
has been developed to predict the structural response of a panel locat
ed in a rigid-walled cavity. This problem is related to the study of t
ile acoustic response of satellite panels with electronic equipment, T
he main difficulty lies in the treatment of the response of an unbaffl
ed panel, strongly coupled to a high modal density pressure field. A t
wo-indices empty cavity Green's function is used, inspired from electr
omagnetism, The plate contribution to the sound pressure is obtained b
y expanding the pressure jump and Green's function on the same basis f
unctions. This approach presents two main advantages: it reduces the s
ize of the linear system to be solved and avoids ill-conditioning prob
lems. This method is found to be quite efficient (10 s per frequency p
oint on a 10 Mflops machine), Results show that the panel responds bet
ter at acoustical eigenfrequencies than at its in vacuo modes, The val
ues at which the diffraction phenomena governs the structural and acou
stic responses are pointed out in terms of density and flexural rigidi
ty, Finally, the formulation allows the quantification of differences
between light and heavy fluid environments.