Coupled Vibration Analysis of a Point-driven Circular End Plate and Sound Field into a Cylindrical Cavity

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This paper describes about coupled vibrations of a structural system and a sound system. The structural and the sound systems are supposed that a circular plate supported by springs and a sound field into a cylindrical cavity put under the plate, respectively. The linear and torsional springs are uniformly distributed around the plate edge, and the plate is driven by a point excitation toward a surface displacement. The coupled vibration analysis is carried out under various boundary conditions, which are varied by changing the spring stiffness, the exciting position, and the cylinder length. The analysis results obtained for the structural and acoustic systems are expressed with spectra of a quadratic velocity for the surface displacement of the plate and a sound pressure level inside the cavity, respectively. The peak components in the quadratic velocity spectrum correspond to natural modes of the plate. Their frequency characteristics depend on the boundary conditions. Though many components appear on the sound pressure spectra because the spectra are influenced by natural modes of the plate and the sound field, the main components are due to plate-controlled modes. Then relation between the exciting position and locations of nodal circles influences components in the quadratic velocity spectrum. On the other hand, the sound pressure level decreases with increasing cylinder length, further its magnitude becomes marked in the high frequency region.
東海大学の論文

Coupled Vibration Analysis of a Point-driven Circular End Plate and Sound Field into a Cylindrical Cavity

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