In this paper, the coupling vibration equation of a finite stiffened cylindrical shell excited by interior air noise is deduced based on Flügge thin shell theory and Helmholtz wave equation. To solve this “closed cavity- finite stiffened cylindrical shell-exterior radiated sound field” coupling equation, the shell’s displacement form is expanded along the circumferential direction and the axial direction by using double series of mode superposition, the effects of stiffeners are induced into the vibration equation by treating them as reverse included in forces and moments on the shell, and the closed cylindrical cavity is expanded along the circumferential direction, the axial direction and the radial direction by using three series. Fluid-solid coupling equation based on shell’s displacement is gained at last. After the coupling equation being solved, several physical quantities characterizing vibration and sound radiation characteristics such as the interior mean quadratic sound pressure level, the radiated sound power level and the mean quadratic vibration velocity level are deduced. At last, a method for calculating sound radiation from stiffened cylindrical shells excited by interior source is put forward in the present paper.
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