基于Timoshenko梁模型的周期充液管路弯曲振动带隙特性和传输特性

充液管路的固液耦合振动广泛存在于各种工程领域中，对其弯曲振动控制进行研究具有重要意义.将声子晶体的周期性思想引入到管路结构设计中，将管壁设计成沿轴向交替排列的周期性复合结构.基于Timoshenko梁模型，采用传递矩阵法计算了固液耦合条件下周期管路结构的弯曲振动能带结构及其传输特性，同时分析了材料阻尼系数、周期和非周期支撑对带隙特性的影响.充液周期管路结构的弯曲振动带隙特性为管路的振动控制提供了一条新的技术途径.关键词：声子晶体充液管路振动带隙

Flexural vibration property of periodic pipe system conveying fluid based on Timoshenko beam equation

Fluid and structure interaction induced vibration in pipe system conveying fluid occurs in many fields, and the flexural vibration control is very important. The idea of phononic crystals is introduced into the design of pipe system conveying fluid. Basing on Timoshenko beam equation, and using the transfer matrix method, we study the band gap properties of the vibration and its transmission properties. The effect of the material damping ratio and spring support stiffness on the band gap is analyzed. The existence of band gaps in the periodic pipe system conveying fluid lends new insight into vibration control of pipes.