An analytical solution utilizing a double finite sine integral transform method is presented in this study for the sound radiation prediction of a ribbed rectangular plate structure under various combinations of clamped and simply supported boundary conditions. An advantage of the modeling method is that the plate-beam structural coupling and the structure-fluid coupling are automatically defined in the integral transformation without the need to manually select the mode shape function. The model is then utilized to investigate the effect of ribs on the radiated sound power and directivity of the plate structure under resonant and non-resonant conditions, respectively. The result shows that the ribbing effect on the omnidirectional radiated sound field of the rectangular plate is consistent with the change of the radiated sound power. However, the radiated sound pressure may increase at certain directions even if the radiated sound power of the rectangular plate is suppressed by the inclusion of ribs. The effect of periodic ribs on the sound radiation of the rectangular plate is also explored. The insights gained from this study can inspire the noise design for structures such as marine platforms and high-speed rail carriages.

An analytical solution is presented in this study for the vibro-acoustic analysis of a cavity coupled with a ribbed panel due to an internal point sound source excitation. The solution is validated by comparing the result with that obtained using finite element analysis. Generally good agreements are found between the results. The model is then used to examine the sound transmission either through a single ribbed–panel or multiple ribbed–panels separated by air gaps. Results demonstrate that the rib enhancement is effective to reduce the energy transmission controlled by the panel control modes. Whereas the attenuation of the energy transmission to the panels is more effective for the cavity control modes when multiple ribbed panels with air gaps are used. The result also shows that the depth of the air gaps will also play a part on the sound attenuation across the panel system where a larger air gap will lead to a better sound attenuation.

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