Research On Mechanical And Acoustic Properties Of Functionally Graded Material Panels

Plates and shells are common structures in ship structure and other engineering areas. Vibration and sound radiation characteristic analysis and sound transmission performance of plates and shells are the main indices of structure design. By applying composite material such as functionally graded materials(FGM) will significantly improve the vibration and sound radiation characteristic of marine structures.Based on the first shear deformation theory, the integration expression of shear deformation correct factor of FGM plates are deduced, and the flexural mechanical different equation of functionally material plates were derived and solved by the double trigonometric series method, the bending of a simply supported FGM plate were analyzed. On the basis of the above static analysis, uniting the first shear deformation theory and with the interaction of fluid and FGM plate considered by applying Rayleigh and Helmholtz-Huygens integral formula, equations on vibration and sound radiation was deprived, and the submerged nature and forced vibration, sound radiation of functionally graded material were analyzed.Sound transmission of functionally graded material plate were analyzed based on extended reverberation matrix method, with the scatter matrix at fluid and solid interfaces were deduced, the local scattering and phase matrix are then stacked to form the global matrix, sound radiation and reflection of FGM structure were obtained by solving the matrix equation. Sound absorption and reflection characteristic of FGM layer with elastic solid or air substrate were analyzed, and sound insulation characteristic of a FGM plate were also analyzed based on the extended reverberation matrix method.