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A modal analysis for the acoustic radiation problems, I. Theory
作者姓名:JIANGZhe
作者单位:VibrationandNoiseResearchDivision,JiangsuUniversityZhenjiang212013
基金项目:The work was supported by the National Natural Science Foundation of China (50075036).
摘    要:For the acoustic radiation problems from a complex vibrating body surface, a modal analysis approach is put forward. All the normal vibration velocities on a vibrating surface form the Hilbert space. In the Hilbert space, an operator is defined, which includes the radiation property of the vibrating surface and is linear, self-adjoint and positive. Using the operator, a set of basis functions in the Hilbert space are obtained, which describe the radiation patterns and are called the radiation modes. Based on the radiation modes, a set of basis functions of the radiation field are obtained by the Helmholtz simple layer potentials, which describe the distribution patterns of the radiation field and are called the field distribution modes. The radiation behavior can be expressed by expansions of the radiation modes and the field distribution modes. The modal analysis approach is introduced into the acoustic radiation problems.

关 键 词:模式分析  声辐射  复合振荡体  振动速度  稀伯特空间  辐射参数
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