全转速系数矩阵降维重构的燃机不平衡量逆推方法

doi:10.7527/S1000-6893.2019.23670

固体力学与飞行器总体设计

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全转速系数矩阵降维重构的燃机不平衡量逆推方法

王辰^1,2, 左彦飞^1,2, 江志农^1,2, 胡明辉^1,2, 冯坤^1,2

1. 北京化工大学发动机健康监控及网络化教育部重点实验室, 北京 100029;
2. 中国航发动力所-北京化工大学航空发动机振动健康监控联合实验室, 北京 100029

收稿日期:2019-11-22 修回日期:2019-12-15 出版日期:2020-11-15 发布日期:2019-12-19
通讯作者: 左彦飞 E-mail:zuo_yanfei@163.com
基金资助:
博士后创新人才支持计划（BX20180031）；中央高校基本科研业务费（JD1911，JD1913）

A backstepping method of gas turbine unbalance vector based on dimension reduction and reconstruction of full speed coefficient matrix

WANG Chen^1,2, ZUO Yanfei^1,2, JIANG Zhinong^1,2, HU Minghui^1,2, FENG Kun^1,2

1. Key Laboratory of Engine Health Monitoring-Control and Networking, Ministry of Education, Beijing University of Chemical Technology, Beijing 100029, China;
2. Aero Engine Vibration Health Monitoring-Control Joint Lab, China Aeronautical Power Institute, Beijing University of Chemical Technology, Beijing 100029, China

Received:2019-11-22 Revised:2019-12-15 Online:2020-11-15 Published:2019-12-19
Supported by:
Postdoctoral Innovation Talent Support Program (BX20180031); Basic Scientific Research Project of Central University (JD1911, JD1913)

摘要/Abstract

摘要： 整机动平衡可大幅提高燃气涡轮发动机动平衡效率，但由于全转速范围内整机系统动力特性复杂，且结构的特殊性仅能够在机匣外表面测振，传统动平衡方法难以实现整机动平衡。为此，考虑全转速区间整机系统结构振动特性及分布式不平衡量的影响，通过仿真或试验获得全转速范围内各测点振动响应与各叶盘不平衡量间的响应系数矩阵，建立等效不平衡量逆推方程组。依据不平衡位置-转速-测点振动间的敏感性关系对全转速系数矩阵进行降维重构，获得优选配平位置、测点及转速的重构方程组，求得转子配平位置的等效不平衡量。典型双转子燃气涡轮发动机整机系统数值仿真结果验证了该方法的有效性。研究结果对实现燃气涡轮发动机整机动平衡具有一定的参考应用价值。

关键词: 燃气涡轮发动机, 转子不平衡, 全转速, 降维重构, 逆推

Abstract: Whole machine dynamic balance can greatly improve the efficiency of unbalanced vibration control for gas turbine engine. However, because of the particularity in structure, the unbalanced response of the rotor cannot be directly measured, making the whole machine balance difficult. Therefore, considering the structural vibration characteristics of the whole machine system overall the full speed range and the influence of distributed unbalance vector, the response coefficient matrix between vibration response of each measuring point and unbalance vector on each blisk is obtained through simulation or test, and the equivalent unbalance vector backstepping equations are established. According to the sensitivity relationship between the unbalance vector position, rotational speed, and the measuring point, the full speed range response coefficient matrix goes through dimension reduction and reconstruction. The equivalent unbalance vector of the rotor is obtained via choosing optimal balancing positions and measuring points and rotational speeds. The effectiveness of the proposed method is verified by numerical simulation analysis of a typical dual-rotor gas turbine engine. This method is valuable for gas turbine engine rotor balance.

Key words: gas turbine engines, rotor unbalance, full speed range, dimension reduction and reconstruction, backstepping

中图分类号:

V231.92

王辰, 左彦飞, 江志农, 胡明辉, 冯坤. 全转速系数矩阵降维重构的燃机不平衡量逆推方法[J]. 航空学报, 2020, 41(11): 223670-223670.

WANG Chen, ZUO Yanfei, JIANG Zhinong, HU Minghui, FENG Kun. A backstepping method of gas turbine unbalance vector based on dimension reduction and reconstruction of full speed coefficient matrix[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 223670-223670.

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全转速系数矩阵降维重构的燃机不平衡量逆推方法

A backstepping method of gas turbine unbalance vector based on dimension reduction and reconstruction of full speed coefficient matrix

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