Transmission of sound waves through a rectangular plate supported by a system of cross ribs

摘要: The stationary monoharmonic sound wave transmission through a thin plate of infinite extent, supported by system cross ribs on both sides is studied. It assumed that the are arranged with uniform steps along axes Cartesian coordinate related to median plane and at points intersection centerlines rests finite length. Transverse loads acting cause only tension-compression deformation state zero displacement their end sections. On cell periodicity cut from plate, concerned acousto-elasticity problem formulated, which describes interaction acoustic environments located in corresponding half-spaces. Dynamic described linearized equations classical theory plates based Kirchhoff–Love hypothesis, take into account internal friction plate’s reinforcing material Thomson–Kelvin–Voigt hysteresis model, motion environments—by well-known equations. basis Ritz method using trigonometric functions exact satisfaction conditions solutions boundary its corner points—the compatibility strains support ribs, analytical solution constructed. shown this class frequencies do not coincide resonance characterized less than value insulation parameter simply all edges rectangular introducing mechanical increasing rigidity leads significant change dependencies parameters stress-strain incident frequency.