弹性支承转子系统应变能分析及其支承特性影响研究  

Strain Energy Analysis of Rotor System with Elastic Supports and Its Influences of Support Characteristics

作　　者：王美令 胡秋生 Mei-ling Wang;Qiu-sheng Hu(College of Locomotive and Rolling Stock Engineering,Dalian Jiaotong University)

机构地区：[1]大连交通大学机车车辆工程学院

出　　处：《风机技术》2023年第5期92-96,共5页Chinese Journal of Turbomachinery

基　　金：国家自然科学青年基金(51905069);辽宁省教育厅面上项目(LJKMZ20220864)。

摘　　要：本文以两支点弹性支承的转子系统为研究对象,基于旋转梁理论和有限元理论建立了转子系统动力学模型,在此基础上给出了应变能的计算公式,分别对转子和弹性支承进行了应变能分析,通过数值仿真分析了支点支承刚度、刚度不对称对转子系统的模态振型及相应的应变能分布的影响规律。研究结果表明:1)当支承刚度与转子刚度相近时,支承刚度变化对于转子系统动力特性变化非常敏感,系统模态振型和应变能分布随着支承刚度的增减将会表现出很大的差异。2)转子的应变能系数η可作为区分系统模态振型的重要参数。当η小于20%,转子基本不发生变形,视为刚体振型;在η超过80%时,变形主要发生在转轴上,可视为完全弯曲振型;η在20%~80%的范围,视为转子-支承的耦合振型。本文研究为弹性支承设计以及带弹支的转子系统的结构设计、运行和维护提供理论参考。In this paper,the dynamics model of a rotor system with two fulcrums elasttic support was established based on the rotating beam theory and the finite element theory.And then,the formula of strain energy was deduced,and the strain energy analysis of the rotor and the elastic supports was carried out respectively.Finally,the influence of support stiffness and stiffness asymmetry on the modal shape and the corresponding strain energy distribution of the rotor system were analyzed numerically.The results show that:(1)when the support stiffness is similar to the rotor stiffness,the change of the support stiffness is very sensitive to the change of the dynamic characteristics of the rotor system,and the mode shape and strain energy distribution of the rotor system will show great differences with the increase or decrease of the support stiffness.2)The strain energy coefficientηof the rotor can be used as an important parameter to distinguish the mode shapes of the system.Whenηis less than 20%,there is no deformation for the rotor and the mode can be regarded as the rigid one.Whenηexceeds 80%,the deformation mainly occurs on the rotor,which can be regarded as the bending mode.In the range of 20%~80%forη,the mode can be regarded as the coupling mode of rotor-support.The research provides theoretical reference for the design of flexible supports and the structure design,operation and maintenance of rotor system.

关 键 词：弹支转子系统 应变能 应变能分布 支承刚度不对称 

分 类 号：TH133[机械工程—机械制造及自动化] V231.96[航空宇航科学与技术—航空宇航推进理论与工程]