两端弹性支承输流管道的稳定性分析

本文对两端采用线弹簧和扭转弹簧支承的输流管道的稳定性进行了理论研究,讨论了支承刚度对管道动态特性的影响。定常流情况下的结果表明,一个系统是保守的,还是非保守的主要取决于支承弹簧刚度的比值。文中还发现了高阶模态耦合颤振失稳等弹性支承管道系统的一些新特性。在周期性脉动流情况下,文中以Болотин方法确定了参变共振失稳区域的边界。

Stability of Fluid-Conveying Pipes Elastically Supported at Both Ends

In this paper,the stability of a flexible slender pipe conveying fluid,whichis supported at both ends by a displacement spring and a rotational one,isconsidered theoretically.The effect of the support flexibility on the dynamicbehavior of the pipes is then discussed.In the case of steady flow,it is shownthat whether a system is conservative or nonconservative is mainly dependenton the relative magnitudes of the spring constants.The coupled-mode kind offlutter in higher modes and other new characteristics of pipes elasticallysupported are also found.In the case of periodical pulsatile flow,Bolotin'smethod is used to determine the boundaries of the regions of parametricresonance.