基于动态子结构的空间螺旋弹性传热管振动特性研究

弹性传热元件振动的诱发与控制是流体诱导振动强化换热技术的关键，对弹性传热元件固有振动特性的研究至关重要。弹性传热元件一般是多根弯曲管束，通过连接体胀接后悬臂支撑，其结构的复杂性导致直接求解其固有振动特性的困难。依据动态子结构理论，通过超单元技术求解各子结构的刚度矩阵和质量矩阵，并利用固定界面模态坐标综合法数值计算了空间螺旋管束的固有振动特性，分析了不同结构参数对其振动特性的影响。结果表明，空间锥形螺旋管束的振动主要表现为轴向振动；锥度、截面直径等参数对其振动特性的影响较大，管壁厚度、螺旋节距等参数对其振动特性影响较小。

Vibration characteristic of a dimensional helical tube based on dynamic substructure

The flow-induced vibration of elastic element is used in heat transfer enhancement. The way to induce and control of element vibration is the key point in the application of this technique. Elastic heat transfer element is composed with several curving pipes, which are connected with a rigid body. The elastic heat transfer element is supported as a cantilever. Due to its complicated structure, it is hard to study the element vibration characteristic in a direct way. The dynamic substructure theory is used in this paper to study the vibration characteristic of dimensional helical tube. First, the mass matrix and stiffness matrix are obtained with super element method; then the component mode synthesis method is used to set up the vibration equation. The vibration is solved with mathematic analysis. The influence of structural parameter to its vibration characteristic is also studied. The results show that the vibration of dimensional helical tube is mainly axial, the parameter of taper and cross-section diameter are of larger influence on the tube vibration characteristic, while the parameter of tube thickness and helical pitch are of rather smaller influence.