中空円筒構造物の音響パワーモードとその抑制について(機械力学,計測,自動制御)

概要

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This paper considers the active minimization of the total acoustic power radiated from a harmonically vibrating cylindrical structure. It is the purpose of this paper to clarify the acoustic power modes, dominant factors of structure-borne sound, and to verify the validity for minimizing the total acoustic power using the acoustic power modes. This paper begins by describing the acoustic power of a cylinder from a viewpoint of a cylindrical coordinate system. The acoustic-power is, then, found to be explicitly described as a function of eigenfunctions of the structure, thereby enabling the procurement of the acoustic power modes numerically, Then, introducing an FEM analysis, the eigenfunctions of the targeted cylindrical structure are acquired, the acoustic power matrix being derived. As a result of diagonalizing the acoustic power matrix, acoustic power modes of the cylindrical structure are acquired. A systematic design procedure is, then, presented for obtaining the acoustic power modes of a generic structure. Finally, the optimal feedforward control law for minimizing the acoustic power modal amplitudes is shown, demonstrating the sufficient attenuation of total acoustic power.
2001-12-25