三支点柔性转子系统支承不同心激励特征及振动响应分析

doi:10.7527/S1000-6893.2016.0234

固体力学与飞行器总体设计

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三支点柔性转子系统支承不同心激励特征及振动响应分析

刘永泉^1,2, 肖森¹, 洪杰^1,3, 马艳红^1,3

1. 北京航空航天大学能源与动力工程学院, 北京 100083;
2. 中国航空发动机集团有限公司沈阳发动机设计研究所, 沈阳 110015;
3. 先进航空发动机协同创新中心, 北京 100083

收稿日期:2016-05-26 修回日期:2016-08-12 出版日期:2017-03-15 发布日期:2016-08-30
通讯作者: 肖森,E-mail:senxiao@buaa.edu.cn E-mail:senxiao@buaa.edu.cn
基金资助:
国家自然科学基金（51575022，51475021）；航空科学基金（20142151024）

Excitation characteristic and dynamic response of misalignment of flexible rotor system with three supportings

LIU Yongquan^1,2, XIAO Sen¹, HONG Jie^1,3, MA Yanhong^1,3

1. School of Energy and Power Engineering, Beihang University, Beijing 100083, China;
2. Shengyang Engine Design and Research Institute, Aero Engine(Group) Corporation of China, Shengyang 110015, China;
3. Collaborative Innovation Center for Advanced Aero-Engine, Beijing 100083, China

Received:2016-05-26 Revised:2016-08-12 Online:2017-03-15 Published:2016-08-30
Supported by:
National Natural Science Foundation of China (51575022, 51475021); Aeronautical Science Foundation of China (20142151024)

摘要/Abstract

摘要：

针对航空发动机三支点柔性转子系统的支承不同心问题，充分考虑转子结构特征和载荷特征，首次将当量刚度引入多支点柔性转子不同心问题的动力学分析，定量描述转子系统各支承间不同心度带来的转子轴段刚度非线性，并提出了多跨度柔性转子系统支承不同心激励的数学描述，建立了不同心激励下多跨度柔性转子系统的力学模型。基于Lagrange能量法，给出了转子系统动力学方程的求解方法，研究得到了支承不同心转子系统的动力响应特征。结果表明：支承不同心不仅引起转子过渡轴的刚度非线性，产生2倍频激励，还会给转子系统带来附加不平衡激励；对于三支点柔性转子系统而言，2倍频分量同样是支承不同心下转子系统振动响应的典型特征之一。转子系统2倍频分量随不同心量的增加而迅速增加，而1倍频分量基本保持不变。同时转子振动响应呈现"缓增速降"趋势，且随非线性刚度、不平衡量的增大愈加明显。

关键词: 柔性转子, 支承不同心, 非线性刚度, Lagrange能量法, 动力响应

Abstract:

Equivalent stiffness is introduced for the first time into dynamics analysis of the problem of bearing misalignment of flexible rotor system with three supportings, based on comprehensive consideration of the characteristics of rotor structure and load. Nonlinear stiffness of the rotor shaft with bearing misalignment can then be described quantitatively. Mathematical descriptions of the misalignment excitation of multi-span flexible rotor are obtained, and the mechanical modeling for the flexible rotor with bearing misalignment is established. The solution method for the governing equations for the rotor system with bearing misalignment is established based on Lagrange energy method, and the vibration characteristics of the rotor system is studied. The results show that the bearing misalignment leads to nonlinearity of the coupling's stiffness, resulting in 2 times frequency excitation load and extra unbalanced load. The 2 times frequency component is one typical feature of the rotor system with bearing misalignment. The 2 times frequency component increases rapidly with the increase of bearing misalignment, and the 1 times frequency component remains the same. The vibration response of the rotor shows a trend of "increasing slowly first, and then reducing quickly with the increase of rotation frequency", and turns to be more obvious with the increase of the nonlinear stiffness and unbalance.

Key words: flexible rotor, bearing misalignment, nonlinear stiffness, Lagrange energy method, dynamic response

中图分类号:

V231.96

刘永泉, 肖森, 洪杰, 马艳红. 三支点柔性转子系统支承不同心激励特征及振动响应分析[J]. 航空学报, 2017, 38(3): 220470-220470.

LIU Yongquan, XIAO Sen, HONG Jie, MA Yanhong. Excitation characteristic and dynamic response of misalignment of flexible rotor system with three supportings[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(3): 220470-220470.

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E-mail：hkxb@buaa.edu.cn

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三支点柔性转子系统支承不同心激励特征及振动响应分析

Excitation characteristic and dynamic response of misalignment of flexible rotor system with three supportings

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