变刚度可瘪乳胶管的参数激振

当脉动流经过乳胶管时,如果跨壁压力为负,则乳胶管就被压瘪,其截面积和截面惯距都将减小。本文首先导出了上述问题的控制方程——有阻尼 Mathieu 方程,然后再用摄动法求解。证实了截面积和截面惯距的周期变化加强了脉动流的激励、容易使乳胶管发生位移振荡,这与实验结果在定性上是吻合的。

THE PARAMETRICAL EXCITATION OF COLLAPSIBLE LATEX TUBE WITH CHANGEABLE RICIDITY

If the transmural pressure of a latex tube containing pulsatile flow is negative, the tube will collapse with its cross-sectional area and moment of inertia decreasing. At first, this paper derived the governing equation of the related problem, that is, the Ma bieu equation with damping and then solved to by the method of strained coordinates in the theory of singular perturbation. It is verified that the periodic change of cross-sectional area and moment of inertia enforces the excitation of the pulsatile flow and the displacement oscilla-tion of the latex tube occurs easily. This agrees well with the experiment results.