物理学报2012，Vol.61Issue(19)：250-259,10.
弯曲振动矩形板辐射阻抗的计算
Calculations of radiation impedance of a rectangular plate with flexural vibration
摘要
Abstract
The radiation impedance expressions of flexural vibration rectangular plate with simply supported boundary are derived, and the numerical results are obtained by using the Gauss numerical integral method. Some conclusions can be obtained on the basis of the curves of relative radiation impedances versus frequency in the different modes and those corresponding to different aspect ratios. The lower the mode, the greater the radiation impedance in the low frequency is, so are the acoustic radiated power and the quality with vibration. For a rectangular plate of certain area and mode, the more the value of r (r = a/b, aspect ratio) approximates to 1, that is, the closer the square is, the greater the radiation resistance and the radiation reactance are. The method offers a reference for determining magnitude of the radiation impedance of the rectangular plate in other complicated boundary conditions (they may be no analytical displacement solutions). The method of calculating the radiation impedance of flexural vibration can be naturally transplanted into the case of piston vibration.关键词
简支边界/矩形薄板/辐射阻抗/数值积分方法Key words
simply supported boundary/rectangular plate/radiation impedance/the method of numerical integra-tion分类
数理科学引用本文复制引用
马焕培,贺西平,兰正康,阿卜力孜·阿卜来提..弯曲振动矩形板辐射阻抗的计算[J].物理学报,2012,61(19):250-259,10.基金项目
国家自然科学基金（批准号：10874107）和中央高校基本科研业务费专项资金（批准号：GK201001008）资助的课题. （）
