摘要
本文用边界积分方程描述无限大声学流体,从而得到了控制圆截面简支梁在该流体中固有振动的积分-微分方程。在此方程基础上,分别用摄动法和有限元与摄动展开相结合的方法,计算了简支梁在无限大声学流体中的固有频率。当声速趋于无穷大时,得到了无限大不可压缩流体中简支梁的固有频率。本文的方法可推广到较为复杂的结构声辐射系统的固有频率的计算上。
In this paper,an acoustic fluid in an infinite region by a boundary intergralequation is described so as to obtain an integral-differential equation for thenatural vibration problem of a beam with the simple supports submerged in theacoustic fluid.Based upon this equation,two methpds for calculating the naturalfrenquency of a beam are proposed:one is a perturbation method and another is afinite element method combined with asymptotic expansion.We would obtain thenatural frequency of a beam submerged in imcompressible fluid as the sound speedapproaches infinity.The above mentioned methods could be used to solve the natural vibrationproblems of more complicated sound-structure radiation systems.
出处
《振动工程学报》
EI
CSCD
1990年第1期10-17,共8页
Journal of Vibration Engineering
基金
国家教委优秀青年基金资助项目
关键词
简支梁
不可压缩流
振动
声学流体
finite element method
perturbation method
boundary integral equation
fluid-structure interaction
acoustic fluid
