The vibroacoustic characteristics of porous sandwich plates with spring oscillators is
investigated. Based on the first-order shear deformation theory and Hamilton’s
principle, a dynamic theoretical model of a porous sandwich plate with local
oscillators is established. By using the Rayleigh–Ritz method, incorporating the
double Fourier cosine series and auxiliary polynomial functions and fluid-solid
interface conditions, the natural frequencies under different boundary conditions and
the sound insulation under the vertically incident sound waves are obtained and
compared with the finite element simulation. Then, the impacts of parameter
changes, such as porosity coefficient, oscillator mass, oscillator numbers, etc., on the
free vibration and sound insulation performances of the structure with local
resonators are discussed.
Keywords
porous sandwich plate, local resonators, elastic
constraints, vibroacoustic performance