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

doi:10.3901/JME.2021.23.124

机械工程学报 ›› 2021, Vol. 57 ›› Issue (23): 124-136.doi: 10.3901/JME.2021.23.124

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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

金淼, 王艾伦, 王青山, 王龙凯, 马伍

中南大学高性能复杂制造国家重点实验室长沙 410083

收稿日期:2020-11-20 修回日期:2021-06-15 出版日期:2021-12-05 发布日期:2022-02-28
通讯作者: 王青山(通信作者),男,1989年出生,博士,副教授,博士研究生导师。主要研究方向为振动噪声分析与控制、转子动力学和现代隔振减振方法。E-mail:qingshanwang@csu.edu.cn
作者简介:金淼,男,1989年出生,博士研究生。主要研究方向为航空发动机转子动力学,航空发动机整体设计,以及材料表面涂层设计。E-mail:jinmiao_mechanical@163.com.cn
基金资助:
国家自然科学基金（51705537）、中南大学研究生创新项目（No.2019zzts256）、高性能复杂制造国家重点实验室（ZZYJKT2021-07）和东北大学航空动力装备振动及控制教育部重点实验室研究基金（VCAME202006）资助项目。

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

JIN Miao, WANG Ailun, WANG Qingshan, WANG Longkai, MA Wu

State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083

Received:2020-11-20 Revised:2021-06-15 Online:2021-12-05 Published:2022-02-28

摘要/Abstract

摘要： 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。

关键词: 端齿预紧, 中心拉杆, 耦合系统, 动力学特性

Abstract: 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.

Key words: end-tooth connection structure, central tie rod, coupling system, dynamic characteristics

中图分类号:

TH113

金淼, 王艾伦, 王青山, 王龙凯, 马伍. 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[J]. 机械工程学报, 2021, 57(23): 124-136.

JIN Miao, WANG Ailun, WANG Qingshan, WANG Longkai, MA Wu. Dynamic Characteristics a Analysis of a New Type of Central Tie Rod Rotor-Blade-Bearing Coupling System Considering the End-Tooth Connection Structure[J]. Journal of Mechanical Engineering, 2021, 57(23): 124-136.

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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

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

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