基于光学几何测量的整体叶盘几何失谐建模与辨识

张元; 赵景超; 周标; 吕福慧; 金易璇

doi:10.13224/j.cnki.jasp.20210407

基于光学几何测量的整体叶盘几何失谐建模与辨识

doi: 10.13224/j.cnki.jasp.20210407

张元^1,,
赵景超¹,
周标^1,*, ,,
吕福慧²,
金易璇²

1.
南京航空航天大学能源与动力学院航空发动机热环境与热结构工业和信息化部重点实验室，南京 210016
2.
南京航空航天大学能源与动力学院，南京 210016

基金项目: 国家科技重大专项(2017-Ⅳ-0006-0043)；国家自然科学基金(52175098)；欧盟地平线2020玛丽∙居里学者项目(891197)

详细信息

作者简介:
张元（1997-），男，硕士生，主要从事结构动力学研究。E-mail：yuanzhang@nuaa.edu.cn

通讯作者:
周标（1985-），男，副教授，博士，主要从事结构动力学研究。E-mail：biao.zhou@nuaa.edu.cn

中图分类号: V231.92
计量
- 文章访问数: 277
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- 被引次数: 0
出版历程
- 收稿日期: 2021-07-31
- 网络出版日期: 2022-10-10

Modeling and identification of geometric mistuning in blisks based on optical geometry measurement

1.
Key Laboratory of Aero-engine Thermal Environment and Structure，Ministry of Industry and Information Technology，College of Energy and Power Engineering， Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
2.
College of Energy and Power Engineering，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China

摘要

摘要:
通过光学几何测量技术获取精确的叶片型面差异化信息（即几何失谐）建立整体叶盘的高保真动力学模型的方法，并进一步开展整体叶盘几何失谐辨识的研究。采用先进的三维结构蓝光扫描系统测量构建精确的叶片几何型面点云模型，然后采用网格变形技术，将谐调叶片有限元模型的表面节点自动投射至实测的点云表面，以回避传统逆向工程的实体模型重建环节，从而实现整体叶盘高保真动力学模型的快速构建。该模型可直接用于量化识别叶片几何失谐对其固有频率和振型的影响，其中各叶片“一弯”频率失谐量在2.1%以内，同时可以精确比对各叶片间的模态置信因子，因此可大幅提高整体叶盘建模和动力学仿真分析的准确性。
- 整体叶盘 /
- 几何失谐 /
- 光学几何测量 /
- 网格自适应变形 /
- 高保真建模
Abstract:
Establishing a model for description of blade geometric mistuning is one of the fundamental problems for dynamic analysis of blisk. The blade profile difference (geometric mistuning) was captured accurately by using optical geometry measurement technology and then a high-fidelity blisk modeling method was established. According to the core idea of this method, an accurate point cloud representing blade geometries was built by means of advanced three-dimensional structured blue light scanning system. An adaptive mesh deformation technology was developed to automatically project the finite element model nodes of the blade to the measured point cloud. Without solid model reconstruction in the traditional reverse engineering, it enabled rapid generation of high-fidelity blisk model. The high-fidelity blisk model can be directly used to quantitatively capture the influence of blade geometry variations on both its natural frequencies and mode shapes. Frequency mistuning of each blade was within 2.1%, and the modal assurance criterion between each blade can be accurately compared. It is thus able to significantly improve the accuracy of modeling and dynamic analysis of blisk.
- blisk /
- geometric mistuning /
- optical geometry measurement /
- mesh adaptive deformation /
- high-fidelity modeling

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图 1 传统逆向工程建模与新型高保真快速建模技术路线对比

Figure 1. Comparison between modeling process in traditional reverse engineering and novel high-fidelity and fast modeling process

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图 2 整体叶盘试验件

Figure 2. Blisk test piece

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图 3 整体叶盘试验件与蓝光光栅投影仪

Figure 3. Blisk text piece and blue light fringe projector

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图 4 光栅投影

Figure 4. Fringe projection

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图 5 实测高分辨率整体叶盘点云

Figure 5. High-fidelity point cloud of the blisk under test

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图 6 网格化的点云模型

Figure 6. Tessellated point cloud model

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图 7 谐调整体叶盘单扇区有限元模型

Figure 7. Finite element model of a single sector of tuned blisk

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图 8 网格变形流程

Figure 8. Mesh deformation procedure

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图 9 节点投影

Figure 9. Node projection

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图 10 矢量校准

Figure 10. Vector alignment

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图 11 整体叶盘高保真有限元模型网格与点云模型网格

Figure 11. Mesh of high-fidelity finite element model of blisk and point cloud model

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图 12 有限元模型表面节点与点云模型距离偏差分布云图

Figure 12. Cloud plot of distance between finite element nodes and point cloud model nodes

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图 13 “单个”叶片模型与根部约束

Figure 13. A single blade model with root constraints

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图 14 几何失谐整体叶盘频率失谐量分布

Figure 14. Frequency mistuning distribution of geometrically mistuned blisk

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图 15 1号和15号叶片的模态置信因子

Figure 15. Modal assurance criterion between blade 1 and blade 15

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参考文献(18)

[1]	白斌,白广忱,童晓晨,等. 整体叶盘结构失谐振动的国内外研究状况[J]. 航空动力学报,2014,29(1): 91-103. doi: 10.13224/j.cnki.jasp.2014.01.012 BAI Bin,BAI Guangchen,TONG Xiaochen,et al. Resaerch on vibration problem of integral mistuned bladed disk assemblies at home and abroad[J]. Journal of Aerospace Power,2014,29(1): 91-103. (in Chinese) doi: 10.13224/j.cnki.jasp.2014.01.012
[2]	王建军,李其汉,朱梓根. 失谐叶片-轮盘结构系统振动局部化问题的研究进展[J]. 力学进展,2000,30(4): 517-528. doi: 10.6052/1000-0992-2000-4-J1998-041 WANG Jianjun,LI Qihan,ZHU Zigen. Vibratiory localization of mistuned bladed disk assemblies-a review[J]. Advances in Mechanics,2000,30(4): 517-528. (in Chinese) doi: 10.6052/1000-0992-2000-4-J1998-041
[3]	臧朝平,兰海强. 失谐叶盘结构振动问题研究新进展[J]. 航空工程进展,2011,2(2): 133-142. doi: 10.3969/j.issn.1674-8190.2011.02.002 ZANG Chaoping,LAN Haiqiang. Advances in research vibration problem of mistuned blisk assemblies[J]. Advances in Aeronautical Science and Engineering,2011,2(2): 133-142. (in Chinese) doi: 10.3969/j.issn.1674-8190.2011.02.002
[4]	张伟伟,高弈奇,全金楼,等. 失谐叶栅的受迫振动响应特性分析[J]. 航空学报,2017,38(9): 193-202. ZHANG Weiwei,GAO Yiqi,QUAN Jinlou,et al. Characteristics analysis of forced vibration response of mistuned cascades[J]. Acta Aeronautica et Astronautica Sinica,2017,38(9): 193-202. (in Chinese)
[5]	JIE Y,SCARPA F,ALLEGRI G,et al. Efficient computational techniques for mistuning analysis of bladed discs:a review[J]. Mechanical Systems and Signal Processing,2017,87: 71-90. doi: 10.1016/j.ymssp.2016.09.041
[6]	KLAUKE T,KUEHHORN A,BEIROW B,et al. Numerical investigations of localized vibrations of mistuned blade integrated disks (blisks)[J]. Journal of Turbomachinery,2009,131(3): 12-22.
[7]	王帅,王建军,李其汉. 一种基于响应信息的整体叶盘结构失谐识别方法[J]. 航空学报,2009,30(10): 1863-1870. doi: 10.3321/j.issn:1000-6893.2009.10.012 WANG Shuai,WANG Jianjun,LI Qihan. Mistuning identification for integrally bladed disk from measured response information[J]. Acta Aeronautica et Astronautica Sinica,2009,30(10): 1863-1870. (in Chinese) doi: 10.3321/j.issn:1000-6893.2009.10.012
[8]	BECK J A,BROWN J M,GILLAUGH D L,et al. Integrally bladed rotor mistuning identification and model updating using geometric mistuning models[R].ASME Paper GT2021-43272,2021.
[9]	BEIROW B,KUHHORN A,FIGASCHEWSKY F,et al. Effect of mistuning and damping on the forced response of a compressor blisk rotor[R].ASME Paper GT2019-91337,2015.
[10]	姚建尧,高阳,王建军. 航空发动机失谐叶盘动态特性研究进展[J]. 航空制造技术,2016,59(21): 76-85,92. doi: 10.16080/j.issn1671-833x.2016.21.076 YAO Jianrao,GAO Yang,WANG Jianjun. A review of dynamic characteristics of mistuned bladed disks[J]. Aeronautical Manufacturing Technology,2016,59(21): 76-85,92. (in Chinese) doi: 10.16080/j.issn1671-833x.2016.21.076
[11]	SINHA A,HALL B,CASSENTI B,et al. Vibratory parameters of blades from coordinate measurement machine data[R].ASME Paper 2005-69004,2005.
[12]	BROWN J M,CARPER E,KASZYNSKI A A,et al. Emulation of frequency and mode shape variation of as-manufactured airfoils with eigenvalue veering and crossing[R].AIAA-2019-2000,2019.
[13]	KASZYNSKI A A,BECK J A,BROWN J M. Automated meshing algorithm for generating as-manufactured finite element models directly from as-measured fan blades and integrally bladed disks[R].ASME Paper GT2018-76375,2018.
[14]	SCHOENENBORN H,GROSSMANN D,SATZGER W,et al.Determination of blade-alone frequencies of a blisk for mistuning analysis based on optical measurements[R].ASME Paper GT2009-59148,2009.
[15]	BACKHAUS T,HARDING M,SCHRAPE S,et al. Validation methods for 3D digitizing precision concerning jet engine blisks[R]. Munich,Germany: German Aerospace Congress 2017,2017.
[16]	CAZENOVE J D,COGAN S,MBAYE M. Finite-element modelling of an experimental mistuned bladed,disk and experimental validation[R].ASME Paper GT2013-95985,2013.
[17]	杨凯,王永军,刘天骄,等. 型材拉弯件回弹的激光扫描检测技术研究[J]. 工具技术,2015,49(12): 95-98. doi: 10.3969/j.issn.1000-7008.2015.12.025 YANG Kai,WANG Yongjun,LIU Tianjiao,et al. Research on laser scanning test for springback of stretch bending formed profiles[J]. Tool Engineering,2015,49(12): 95-98. (in Chinese) doi: 10.3969/j.issn.1000-7008.2015.12.025
[18]	FRIEDMAN J H,BENTLY J L,FINKEL R A. An algorithm for finding best matches in logarithmic expected time[J]. ACM Transactions on Mathematical Software,1977,3(3): 209-226. doi: 10.1145/355744.355745