具有粘弹性支撑的平板上势流的稳定性  

Absolute instability of potential flow over a plate with viscoelastic supports

作　　者：赵汉中[1] 

机构地区：[1]华中科技大学力学系,湖北武汉430074

出　　处：《水动力学研究与进展（A辑）》2002年第2期197-203,共7页Chinese Journal of Hydrodynamics

摘　　要：本文研究了具有粘弹性支撑的平板上均匀势流中的稳定性问题。在研究中采用基于空间—时间稳定性理论的映射法去搜寻绝对不稳定特征模态。研究结果表明 ,当支撑刚度足够小时总是会有不稳定发生。对于纯弹性支撑 ,尽管有不稳定 ,但它并不是绝对不稳定 ;而对于粘弹性支撑 。The instability of a uniform potential flow over a plate with viscoelastic supports was investigated. A mapping technique, based on a spatio-temporal analysis was applied to search the absolute instability eigenmodes. It is found that the instability occurs as the support stiffness is enough low. It is concluded that for a purely elastic support, the instability is only temporal, but not absolute; for a viscoelastic support, the instability is always absolute.

关 键 词：粘弹性支撑 绝对不确定 均匀势流 稳定性理论 映射法 

分 类 号：O353[理学—流体力学] O357.5[理学—力学]