高速柔性转子系统动力特性稳健设计方法

doi:10.13700/j.bh.1001-5965.2018.0492

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摘要高速柔性转子系统为控制其转子变形和多阶临界转速分布，常采用多支点支承方案，而转子-支承结构力学参数的分散性，使得转子动力特性设计成为多变量多目标非确定性优化问题。通过Lagrange法建立柔性转子运动方程，定义罚函数以定量描述多阶临界转速的分布特征，采用区间数学分析方法和遗传算法结合的方式，建立了基于临界转速分布特征优化及连接结构刚度损失控制的转子系统动力特性稳健设计方法。算例表明，通过将多阶临界转速集中于一定转速区间，并控制连接结构弯曲应变能分布比例，可有效减小转子通过多阶临界转速时的振动响应，降低转子动力特性对连接结构受力状态变化的敏感度，提高高速柔性转子系统动力特性的稳健性。

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	洪杰
	杨哲夫
	吕春光
	马艳红

关键词 ：稳健设计, 柔性转子, 应变能, 振动响应, 多支承结构

Abstract：In order to control the deformation of rotor and distribution of multiple critical speeds, it is common to adopt multi-support configuration, which indicates that the optimization is a multi-objective, multi-variable and non-deterministic problem, taking into account parameter uncertainties. An equation of motion for flexible rotor is derived with the aid of Lagrange equation. Penalty functions are introduced to quantitatively describe the distribution feature of multi-order critical speeds. A robust design method for dynamic properties of rotor is presented based on the optimization of critical speed distribution and stiffness loss control of joint structure with the combination of interval analysis method and genetic algorithm. A numerical example shows that by concentrating the multi-order critical speeds into a certain speed interval and controlling the bending strain energy proportion of joint structure, the vibration response passing through multi-order critical speeds and sensitivity of rotor dynamic properties to the change of joint structure stiffness loss are both reduced, thus improving the robustness of this type of rotor system.

Key words： robust design flexible rotor strain energy vibration response multi-support configuration

收稿日期: 2018-08-29

PACS:

V231.96

基金资助:国家自然科学基金（51575022，11672017）

通讯作者: 马艳红.E-mail:mayanhong@buaa.edu.cn E-mail: mayanhong@buaa.edu.cn

作者简介: 洪杰男,博士,教授,博士生导师。主要研究方向:航空发动机转子动力学、航空发动机整机动力学、旋转机械振动控制、智能结构与新型阻尼材料等;马艳红女,博士,教授,博士生导师。主要研究方向:航空发动机整机动力学、旋转机械振动控制、智能结构与新型阻尼材料等。

引用本文:

洪杰, 杨哲夫, 吕春光, 马艳红. 高速柔性转子系统动力特性稳健设计方法[J]. 北京航空航天大学学报, 2019, 45(5): 855-862.
HONG Jie, YANG Zhefu, LYU Chunguang, MA Yanhong. Robust design method for dynamic properties of high-speed flexible rotor systems. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2019, 45(5): 855-862.

链接本文:

http://bhxb.buaa.edu.cn/CN/10.13700/j.bh.1001-5965.2018.0492 或 http://bhxb.buaa.edu.cn/CN/Y2019/V45/I5/855

[1] LIU S,WANG J,HONG J,et al.Dynamics design of the aero-engine rotor joint structures based on experimental and numerical study[C]//ASME Turbo Expo 2010:Power for Land,Sea,and Air.New York:ASME,2010:49-60.
[2] RAJAN M,RAJAN S D,NELSON H D,et al.Optimal placement of critical speeds in rotor-bearing systems[J].Journal of Vibration and Acoustics,1987,405(1-6):417-419.
[3] SHIAU T N,CHANG J R.Multi-objective optimization of rotor-bearing system with critical speeds constraints[J].Journal of Engineering for Gas Turbines and Power,1991,115(2):246-255.
[4] LIN Y,CHENG L,HUANG T P.Optimal design of complex flexible rotor-support systems using minimum strain energy under multi-constraint conditions[J].Journal of Sound and Vibration,1998,215(5):1121-1134.
[5] ZANG C,FRISWELL M I,MOTTERSHEAD J E.A review of robust optimal design and its application in dynamics[J].Computers & Structures,2005,83(4-5):315-326.
[6] LI G,LIN Z,ALLAIRE P E.Robust optimal balancing of high-speed machinery using convex optimization[J].Journal of Vibration and Acoustics,2008,130(3):263-269.
[7] MA Y,CAO P,WANG J,et al.Interval analysis method for rotor dynamics with uncertain parameters[C]//ASME 2011 Turbo Expo:Turbine Technical Conference and Exposition.New York:ASME,2011:307-314.
[8] 陈萌.航空发动机转子系统动力特性区间分析理论与方法研究[D].北京:北京航空航天大学,2012.CHEN M.Investigation on interval analysis theory and method of aero-engine rotor dynamics[D].Beijing:Beihang University,2012(in Chinese).
[9] RITTO T G,LOPEZ R H,SAMPAIO R,et al.Robust optimization of a flexible rotor-bearing system using the Campbell diagram[J].Engineering Optimization,2011,43(1):77-96.
[10] 顾家柳,等.转子动力学[M].北京:国防工业出版社,1985.GU J L,et al.Rotordynamics[M].Beijing:National Defense Industry Press,1985(in Chinese).
[11] NELSON H D,MCVAUGH J M.The dynamics of rotor-bearing systems using finite elements[J].Journal of Engineering for Industry,1976,98(2):593-600.
[12] 单辉祖.材料力学[M].北京:高等教育出版社,2009.SHAN H Z.Mechanics of materials[M].Beijing:High Education Press,2009(in Chinese).
[13] 洪杰,于欢,肖森,等.高速柔性转子系统非线性振动响应特征分析[J].北京航空航天大学学报,2018,44(4):653-661.HONG J,YU H,XIAO S,et al.Nonlinear vibration response characteristics of high-speed flexible rotor system[J].Journal of Beijing University of Aeronautics and Astronautics,2018,44(4):653-661(in Chinese).
[14] CAVAZZUTI M.Optimization methods[M].Berlin:Springer,2013.
[15] 《航空发动机设计手册》总编委会.航空发动机设计手册第12册传动及润滑系统[M].北京:航空工业出版社,2000.The Editorial Board of Design Manual of Aero Engines.Design manual of aero engines Vol.12,Transmission and lubrication system[M].Beijing:Aviation Industry Press,2000(in Chinese).