三参量模型粘弹性圆柱体轴向流动中的动力特性

对悬臂粘弹性圆柱体轴向流动中的动力特性进行了研究,计算模型采用三参量模型,对特征方程进行了推导,给出了在质量比β(β=0.5)一定,改变无量纲延滞时间α和无量纲弹性系数比λ的情况下,悬臂三参量模型粘弹性圆柱体的前三阶模态无量纲复频率ω的实部及虚部与无量纲流速v之间的关系曲线图.研究结果表明:在无量纲弹性系数比λ和质量比β一定时,随着无量纲延滞时间α的增加,及在无量纲延滞时间α和质量比β一定时,随着无量纲弹性系数比λ的增加,第一阶模态发生单一模态颤振及再次稳定的无量纲临界流动速度都在减小.

Dynamic Behavior of Three-parameter's Model Viscoelastic Cylinder in Axial Flow

The dynamic behavior of the viscoelastic cylinder in axial flow is studied. The eigen-equation of the cantilever viscoelastic cylinder constituted by three-parameter model in axial flow is deduced, and the curves of the real and imaginary parts of the first three order dimensionless complex frequencies are analyzed varying with dimensionless flow speed when mass ratio is not changed, and dimensionless delay time and the elasticity coefficient ratio are changed. It is shown that single-mode flutter will do and the stable dimensionless critical flow speed decreases when mass ratio and the elasticity coefficient ratio are not changed, and dimensionless delay time is increased. The same results will be got when mass ratio and dimensionless delay time are not changed,and the elasticity coefficient ratio is increased.