基于响应传递比的转子叶片动应变重构

朱昱达; 乔百杰; 符顺国; 敖春燕; 陈雪峰

doi:10.13224/j.cnki.jasp.20200440

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基于响应传递比的转子叶片动应变重构

结构、强度、振动 | 更新时间：2025-04-07

- 基于响应传递比的转子叶片动应变重构
- Dynamic strain reconstruction of rotating blade based on response transmissibility
- 航空动力学报 2021年36卷第8期页码：1690-1701
- 作者机构：
  
  1.西安交通大学机械工程学院，西安 710049
  2.西安交通大学机械制造系统工程国家重点实验室，西安 710061
  3.中国航空发动机集团有限公司四川燃气涡轮研究院，成都 610500
- 作者简介：
  
  朱昱达（1995-），男，硕士生，主要从事航空发动机叶片动应变场重构技术研究。
  乔百杰（1985-），男，副教授、硕士生导师，博士，主要从事航空发动机叶片动应力重构技术研究。E⁃mail：qiao1224@xjtu.edu.cn
- 基金信息：
  
  国家自然科学基金(52075414;5170539);中国航空发动机集团有限公司四川燃气涡轮院稳定支撑项目(J20192020)
- DOI：10.13224/j.cnki.jasp.20200440
  中图分类号：
- 稿件说明：
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朱昱达, 乔百杰, 符顺国, 等. 基于响应传递比的转子叶片动应变重构[J]. 航空动力学报, 2021,36(8):1690-1701.

Yuda ZHU, Baijie QIAO, Shunguo FU, et al. Dynamic strain reconstruction of rotating blade based on response transmissibility[J]. Journal of Aerospace Power, 2021, 36(8): 1690-1701.
朱昱达, 乔百杰, 符顺国, 等. 基于响应传递比的转子叶片动应变重构[J]. 航空动力学报, 2021,36(8):1690-1701. DOI： 10.13224/j.cnki.jasp.20200440.

Yuda ZHU, Baijie QIAO, Shunguo FU, et al. Dynamic strain reconstruction of rotating blade based on response transmissibility[J]. Journal of Aerospace Power, 2021, 36(8): 1690-1701. DOI： 10.13224/j.cnki.jasp.20200440.

摘要

提出基于响应传递比的转子叶片动应变重构方法，从系统应变频响特性出发，在频域获得应变⁃应变响应传递比关于模态振型的解析表达式，建立叶片已知测点应变与不可测位置应变的映射关系；开展高速旋转叶片动应变测量实验，建立叶片有限元模型，并采用转子叶片前4阶固有频率的实验结果修正有限元模型；开展考虑转速影响的转子叶片模态分析，提取对应的应变模态振型，计算得到单模态振动下应变⁃应变响应传递比；综合应变响应传递比和实测动应变重构叶片不可测位置的动应变。实验结果表明：与应变片实测结果相比，基于响应传递比的转子叶片动应变重构结果相对误差小于10%。

Abstract

A dynamic strain reconstruction method of rotating blades based on response transmissibility was proposed.Based on the characteristics of system strain frequency response，an analytical expression of the strain-strain response transmissibility with respect to the modal shape was obtained within the frequency domain，and the mapping between the measured and unmeasured strains on the blade was established.Experiments for the blade dynamic strain measurement were conducted under the high-speed rotating condition.Then，the finite element model of the blade was established and updated by using the first four natural frequencies from experiments.The modal analysis of the rotating blades was conducted considering the prestress of rotational speed.The blade strain mode shapes were extracted from the finite element model and the strain-strain response transmissibility on single-mode resonance was calculated.Experimental results showed that the relative errors between the measured dynamic strains measured by strain gauges and the reconstructed dynamic strains based on the response transmissibility were less than 10%.

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