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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。
Using the transfer matrix method, the propagation constants of the current-carrying tubes with periodic elastic support are obtained, the critical state of instability is determined by the propagation constant, and the stability is studied. The results show that the static instability of the periodic elastic support tube structure is similar to the shaft axial pressure instability, and the equivalent axial pressure is determined by the non-dimensional fluid velocity and the fluid pressure. The relationship between the line stiffness and the corner stiffness of the elastic support must meet a certain matching relationship so that the structure can obtain a correspondingly higher critical equivalent pressure.