考虑端齿预紧的新型中心拉杆-转子-叶片耦合系统动力学特性分析

基于端齿连接结构在预紧力作用下的受力与变形关系，提出了一种考虑端齿预紧的新型中心拉杆-转子-叶片耦合系统动力学分析模型。首先通过铁木辛柯梁理论和哈密顿变分原理，推导了耦合系统的动力学方程；然后采用抗弯刚度修正模型，将端齿预紧的接触界面效应计入到耦合系统动力学模型中，并采用有限元模型结果验证了模型的正确性；在此基础上，分析了预紧力对耦合系统临界转速和不平衡响应的影响规律。研究结果表明在预紧松弛情况下，因为端齿连接结构抗弯刚度的降低，使耦合系统的临界转速大幅降低。而对于不平衡响应而言，耦合系统的响应幅值随预紧力的增加而逐渐减少，当在预紧力达到60 kN时，此时近似等效于无端齿连接结构的整体转子系统。

Dynamic Characteristics a Analysis of a New Type of Central Tie Rod Rotor-Blade-Bearing Coupling System Considering the End-Tooth Connection Structure

An analytical model of the assembled stiffness of the end-tooth connection structure is proposed based on the pre-tightening force and deformation of the end-tooth connection structure, then the differential equation of a new type of Central Tie Rod Rotor-blade-bearing coupling system is derived through the Timoshenko theory and Hamilton variational principle. And that the modified assembled stiffness calculation of the end-tooth connection structure is incorporate into the complete the modeling of the whole dynamic system considering the contact interface. The analytical model is verified by comparing the results with the ANSYS software simulations. The Campbell diagram and unbalanced response of the coupling system are analyzed under the effect of the pre-tightening force. The results show that the stiffness weakening of the end tooth connection structure under the loosening of the end-tooth connection structure, which greatly reduce the critical speed of rotor. And for the unbalance response of the rotor system, the vibration response of coupling system gradually decreases as increasing of the pre-tightening force. When the pre-tightening force reaches 60KN, the amplitude of the system decreases to gradually stabilize, which is similar to a rigidly connected integral rotor in a non-contact state.