Calculations of radiation impedance of a rectangular plate with flexural vibration

Author:

Ma Huan-Pei ,He Xi-Ping ,Lan Zheng-Kang ,Abulizi·Abulaiti ,

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.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Reference17 articles.

1. Zhao G W, Xu Y M, Chen C 2006 Acta Phys. Sin. 55 3458 (in Chinese) [赵国伟, 徐跃民, 陈诚 2006 物理学报 55 3458]

2. Wang H L, Wu Q, Meng F Y, Li L W 2007 Acta Phys. Sin. 56 2608 (in Chinese) [王海龙, 吴群, 孟繁义, 李乐伟 2007 物理学报 56 2608]

3. Wang H L, Wu Q, Meng F Y, Li L W, Wu J 2007 Acta Phys. Sin. 57 4883 (in Chinese) [王海龙, 吴群, 孟繁义, 李乐伟, 吴健 2008 物理学报 57 4883]

4. Sanchez-Torres A, Sanmartin J R, Donoso J M, Charro M 2010 Adv. in Space Res. 45 1050

5. Vojnovic M, Mijic M 2005 Applied Acoustics. 66 481

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3