小雷诺数下弹性圆柱壳行波振动问题研究

Vibration of Elastic Cylindrical Shell with Small Reynolds Number

基于不可压缩、不可渗透的假设,研究圆柱壳不间断振动时黏性流体的应力、流体的压力和有效作用系数等.假设雷诺数远远小于1,流体运动的纳维-斯托克斯方程近似为斯托克斯方程,由于问题具有轴对称性,根据相容拉格朗日-欧拉法解出的问题的流函数表达式,计算出弹性体振动时流体压力、单位面积上的功率以及有效作用系数,并进行了结果分析.

The stress,pressure and efficiency parameter were studied for the vibration problem of elastic cylindrical shell in incompressible viscous fluid.The Navier-Stokes equations were almost equal to the Stokes equations under the assumption of small Reynolds number less than 1.The stream function was given using united Lagrangian-Eulerian method.Then the pressure,the rate of working per unit area and the efficiency parameter were presented.The results were analyzed.