板一腔祸合对腔体共振频率的影响*

南京大学学报(自然科学版) ›› 2012, Vol. 48 ›› Issue (1): 8–14.

板一腔祸合对腔体共振频率的影响*

张晓排^1,２,邱小军^１**

出版日期:2015-05-15 发布日期:2015-05-15
作者简介:(1.近代声学教育部重点实验室，南京大学声学研究所，南京，210093
2.大连交通大学交通运输工程学院，大连，116028)
基金资助:
国家自然科学基金(11004100)，南京大学近代声学教育部乖点实验室(1004)，中央高校基木科研业务费专项基金(1101020402)

The effect of the plate-cavity coupling on the resonance frequency of the cavity

Zhang Xiao- Pai ^1.2，Qiu Xiao一Jun¹

Online:2015-05-15 Published:2015-05-15
About author: 1. Key Laboratory of Modern Acoustics, institute of Acoustics, Nanjing University, Nanjing, 210093,China;
2. School of Traffic and Transportation Engineering, Dalian Jiaotong University, Dalian, 116028，China)

摘要/Abstract

摘要： 基于模态展开法建立板一腔藕合系统受迫振动响应模型，以分析藕合后腔控模态共振频率的偏移.理论分析和仿真发现，与小阻尼近刚性壁面比，弹性板相对较小的声质量使得藕合后腔体共振频
率发牛偏移，偏移量的大小和为一向与板一腔藕合系统的模态藕合系数、板的声质量和板模态共振频率有关.若腔共振频率高于板共振频率，藕合后腔控模态共振频率增加;若腔共振频率低于板共振频率，藕合
后腔控模态共振频率减小;通常最大模态藕合系数决定了腔共振频率偏移量的大小.

Abstract: The forced response of an acoustirstructural coupled system has been modeled to analyze the resonance frequency shift of a cavity controlled mode.Thcoretical analysis and simulations show that unlike the infinite
acoustical mass of the approximately rigid wall with a slight damping, the finite acoustical mass of the plate allows the platrcavity couple，resulting in the resonance frequency shift of the cavity controlled mode.The degree and
direction of the shift arc affected by the modal coupling coefficient，the acoustical mass of the plate and the resonance frequency of the plate. if the resonance frequency of the uncoupled cavity mode is higher than the resonance
frequency of the uncoupled plate mode, the cavity controlled frequency increases after the plate mode and the cavity mode are coupled,and vice versa. Usually the maximal modal coupling coefficient plays a dominant role to the
degree of the resonance frequency shift of the cavity controlled mode among all coupling coefficients of the cavity with the plate modes.

张晓排^1,２,邱小军^１**. 板一腔祸合对腔体共振频率的影响*
[J]. 南京大学学报(自然科学版), 2012, 48(1): 8–14.

Zhang Xiao- Pai ^1.2，Qiu Xiao一Jun¹. The effect of the plate-cavity coupling on the resonance frequency of the cavity
[J]. Journal of Nanjing University(Natural Sciences), 2012, 48(1): 8–14.

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