Analysis of acoustic radiation of a ring-stiffened cylindrical shell in underwater based on precise integration transfer matrix method

摘要

Based on transfer matrix theory and inhomogeneous precise integration method, precise integration transfer matrix method (PITMM) is developed to study the dynamic response of stiffened cylindrical shell. Firstly, field transfer matrix and point transfer matrix for stiffened cylindrical shell are obtained based on Flugge theory, transfer matrix theory and Helmholtz equation. The effect of generalized acoustic pressure excitation is handled with the inhomogeneous precise integration method and increment-dimensional storage methods. According to the boundary conditions for both ends of cylindrical shell and motion continuity condition on the fluid-solid interaction, the coefficient of acoustic pressure is calculated. Thus, acoustic radiation of the stiffened cylindrical shell is determined. The accuracy of the proposed approach has been demonstrated by comparing the current results with those in the literature and with some experimental results. On this basis, the effects of boundary conditions, loss factors of structures and fluid medium on the acoustic radiation of stiffened cylindrical shell are discussed. It is shown that, the acoustic radiation pressure of structure is largest for free boundary condition, and becomes smaller in that order for simply supported and clamped boundary condition. With an increase of loss factors of structures, the acoustic radiation pressure monotonically decreases. However, the radiation pressure increases with an increase of fluid medium impedance.