Abstract
Theoretical solutions of vibration and sound radiation of submerged finite cylindrical shells with pre-stress were derived by using a modal summation method. Motion equations of cylindrical shells with pre-stress were established on the basis of Flügge theory. Additional impedance caused by pre-stress was added to the basic vibration equation. Pre-stress was expressed by uniform and trigonometric forms to obtain the sound radiation power, mean quadratic velocity and radiation efficiency of cylindrical shells. Numerical calculation was conducted to study the effects of tensile and compressive stresses, stress direction, value size and distribution on vibration and sound radiation of cylindrical shells. This study may provide a reference for controlling sound radiation of underwater vehicles.
Highlights
Vibration and sound radiation characteristics have important influences on the concealment and competitiveness of underwater vehicles whose basic structural form is a cylindrical shell
The theoretical solutions of vibration and sound radiation of submerged finite cylindrical shells with pre-stress were derived on the basis of Flügge theory
The theoretical solutions of vibration and sound radiation of submerged finite cylindrical shells with pre-stress are obtained on the basis of Flügge theory and modal summation method
Summary
The cylindrical shell (Fig. 1), whose thickness divided by radius is less than 5%, is thin with uniform thickness h, radius a, length L, mass density ρp, modulus of elasticity E and Poisson’s ratio ν. This shell is submerged in infinite water domain in which the sound velocity is c0, radial displacements of the shell are represented by u, v and and the fluid density w, respectively. The radial displacement w contributes to the sound field when the acoustic medium is surrounding the shell. The radial excitation force and surface sound pressure of the shell can be expanded as follows:.
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