自然科学版
陕西师范大学学报(自然科学版)
物理学
弯振圆盘中相邻模态解耦方法研究
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闫秀丽, 李娜, 杨佳婷, 卫相润, 贺西平*
(陕西师范大学 物理学与信息技术学院, 陕西省超声重点实验室, 陕西 西安 710119)
贺西平,男,教授,博士生导师。E-mail:hexiping@snnu.edu.cn
摘要:
大功率工作状态下,振动体在谐振频率附近会激发其他振动模态,这些模态会产生非线性效应,并干扰谐振模态。为了减弱模态耦合的影响,在阶梯圆盘以及平盘圆盘背面进行开槽,使谐振模态与相邻模态的间距增大;并研究了相邻模态之间距离较大时,所对应的开槽位置及几何参数。结果表明:开槽位置在位移方向的次最大位置附近时,谐振模态与其相邻模态的频率间距最大,并且圆盘的辐射声场的指向性不发生变化。
关键词:
非线性; 开槽; 模态耦合
收稿日期:
2017-07-10
中图分类号:
O426.2
文献标识码:
A
文章编号:
1672-4291(2017)06-0044-06
基金项目:
国家自然科学基金(11374201)
Doi:
Study on the method of decoupling the modal interaction for plates in flexural vibration
YAN Xiuli, LI Na, YANG Jiating, WEI Xiangrun, HE Xiping*
(School of Physics and Information Technology, Shaanxi Normal University, Shaanxi Key Laboratory of Ultrasonics, Xi′an 710119, Shaanxi, China)
Abstract:
Under high-power state, unwanted modes of the plate may be excited. These unwanted modes may give rise to modal interactions and a range of nonlinear phenomena. In order to separate the desired mode from undesired close modes, the flat plate and steps plate are grooved.The best grooved position, width and thickness are obtained to by using finite element (FE) method. It shows that the best grooved position is near the secondary maximize displacement direction of the plates while the directivity patterns of the radiators basically are not affected.
KeyWords:
nonlinearity; groove; modal interaction