Vibro-acoustic characteristics of rubber matrix cord-reinforced combined shells of revolution under hydrostatic pressure

Abstract

The vibro-acoustic characteristics of rubber matrix cord-reinforced combined shells of revolution under hydrostatic pressure are investigated. Under internal pressure of the shell, stress and deformation is generated in the rubber matrix cord-reinforced shell. According to the deformation characteristics of the rope structure under hydrostatic pressure, the axial and circumferential deformation of the shell is discussed. The stress of shell caused by the hydrostatic pressure is considered in the differential equation of motion. Then the transformation relationships of different coordinate systems, and the continuous conditions of state vectors of the shell are established. The transfer matrices for the connection position of the spherical shell and the cylindrical shell, the position of the ring-stiffener are derived. Therefore, the whole vibration transfer equation of the combined shells is assembled. The response of the shell under the excitation force and the generalized sound pressure is calculated separately, and the sound pressure coefficient is solved by the continuous condition at the acoustic-structure coupling boundary. The radiated sound power of the combined shells is obtained. Eventually, the reliability and accuracy of the proposed method is verified by experimental results. Effects of the number of circumferential waves, radius of curvature of spherical shell, the hydrostatic pressure, the ring-stiffeners on the acoustic radiation characteristics of the combined shells are also discussed.