噪声与振动控制2011，Vol.31Issue(4)：51-54,4.DOI:10.3969/j.issn.1006-1355-2011.04.012
圆板轴对称弯曲振动的模态声辐射效率
Modal Radiation Efficiency of the Axisymmetric Flexural Vibration Circular Plate
摘要
Abstract
The modal radiation efficiency of axisymmetric flexural vibration of circular plates with clamped, simply supported or free boundary condition is discussed by integrating the sound intensity over the surface of the plates. The numerical results are obtained by employing 10 nodes Gauss-Legender integration method. The modal radiation efficiencies with the same mode order but different boundary conditions of the plates are compared. The results show that (1) the modal radiation efficiency increases with the increasing of the frequency in the whole frequency range; (2) the modal radiation efficiency of the plate in low frequency range approaches zero, and the frequency range corresponding to the nearly-zero radiation efficiency becomes wider with the increasing of the mode order; (3) when the sound wave number of the medium is much greater than the flexural wave number of the plate, the radiation efficiency of various modes of the plate with various boundary conditions approaches 1; (4) for edge-clamped plate and simply supported plate, the radiation efficiency of the first order mode is much greater than those of the other modes, while the case is just the reverse for the free-edged plate; and (5) for modes with the same order, the radiation efficiency of the plate with clamped-edge is maximal, that of the simply supported plate takes the second place, and that of the free-edged plate is the minimum.关键词
声学/圆板/计算/模态声辐射效率Key words
acoustics/circular plate / calculation / modal radiation efficiency分类
数理科学引用本文复制引用
任惠娟,盛美萍..圆板轴对称弯曲振动的模态声辐射效率[J].噪声与振动控制,2011,31(4):51-54,4.基金项目
陕西省自然科学基金项目资助:2011JM1017 （）
