周期弹性支承管的稳定性研究

运用传递矩阵方法得到了周期弹性支承载流管的传播常数，利用传播常数确定失稳的临界状态，进而对稳定性进行了研究。结果表明：周期弹性支承管结构的静力型失稳与杆的轴压失稳情况相似，等效的轴向压力由无量纲化的流体流速和流体压力确定。弹性支座的线刚度和转角刚度之间须满足一定的匹配关系才能使结构得到相应较高的临界的等效压力。

Stability Research of Periodically And Elastically Supported Pipes

The transmission matrix method is applied to achieve propagation constants of periodically and elastically supported pipes. The propagation constant values are used to determine the critical state of stability. And the divergence of the pipe are investigated extensively. The results show that an analogy between the buckling of the pipe and the buckling of beam can be sought by introducing an equivalent axial load determined by non-dimensional fluid velocity and pressure. The value of linear rigidity should match with that of rotational rigidity so that higher equivalent axial load can be achieved.