首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Fundamental frequency of a circular membrane with a strip of small length
Authors:L H Yu
Institution:(1) Department of Mathematics, National Chung Cheng University, 621 Minghsiung, Chiayi, Taiwan, R. O. C.
Abstract:A circular membrane with an arbitrarily placed internal strip of small length is concerned in this article. A two-term asymptotic expansion for the fundamental frequency of the membrane, as the length of the strip approaching to zero, is specified. Comparing it with the one 8] derived for the membrane with an internal circular core, it is found that the position of the internal constraint has more effect than the shape of the internal constraint on the fundamental frequency. The asymptotic approximation is also compared with the numerical data computed by the dual boundary element method 2] for a circular membrane of radius 1 with a radially placed internal strip of length 2c. These two sets of data are in good agreement. The relative error is less than 3 % as c is less than or equal to 0.1, for all positions of the strip. Moreover, the relative error is less than 1 % as c is less than or equal to 0.01.
Keywords:asymptotic approximation  fundamental frequency  strip  circular membrane
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号