面向结构动力学测试的整体叶盘数字孪生技术

周标; 谢诚语; BATTIATOG; BERRUTIT M

doi:10.13224/j.cnki.jasp.20240027

面向结构动力学测试的整体叶盘数字孪生技术

doi: 10.13224/j.cnki.jasp.20240027

1.
南京航空航天大学能源与动力学院，南京 210016
2.
都灵理工大学机械与航空工程学院，都灵 10129

基金项目: 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:
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: V231.9
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- 被引次数: 0
出版历程
- 收稿日期: 2024-01-10
- 网络出版日期: 2025-05-25

Digital twins for dynamic testing of integral bladed disks

1.
College of Energy and Power Engineering，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
2.
Department of Mechanical and Aerospace Engineering，Politecnico di Torino，Torino 10129，Italy

摘要

摘要:
针对几何失谐整体叶盘结构动力学特性评估问题，开展基于先进光学几何测量技术的高保真整体叶盘数字孪生建模、高性能结构动力学仿真分析和试验验证研究。首先，采用三维结构蓝光扫描系统测取叶片几何型面的高分辨率点云模型，将其直接关联至谐调整体叶盘设计有限元模型，通过网格自适应变形技术实现高保真整体叶盘数字孪生模型的高效构建。其次，整体叶盘数字孪生高性能动力学仿真分析方法立足于大规模几何失谐整体叶盘模型的新型动力学减缩技术，其核心是利用各几何失谐单扇区结构的循环对称模态振型来构建数字孪生整盘模型的减缩模态基底，以减少计算内存和时长的消耗。试验结果表明：针对实体整体叶盘模拟件结构构建的高保真数字孪生模型既能有效地捕获叶片微小几何失谐对其“扇区”频率和振型的影响，也能较为准确地预测旋转整体叶盘在发动机阶次激励作用下的失谐振动响应特性。
- 整体叶盘 /
- 几何测量 /
- 模型减缩 /
- 旋转测试 /
- 数字孪生
Abstract:
The structural dynamics of integral bladed disks is very sensitive to the blade geometric variances. The methodological development and experimental verification for the high-fidelity digital twin modeling and high-performance dynamic analysis for blisks were presented by leveraging the advance optical geometry measurement technology. Firstly, the real blisk geometries were measured in the form of a high-resolution point cloud by employing a 3D structured blue light scanning system. The point cloud was directly correlated to the tuned blisk model in its nominal design. The high-fidelity digital twin model was constructed by an adaptive mesh deformation technique in an efficient way. Subsequently, high-performance dynamic analysis was realized by a novel model reduction technique specifically proposed for large-sized geometrically mistuned blisks. The basic idea was to construct the reduction mode basis of the full blisk by using the cyclic modes of the individual sectors with geometry mistuning having relatively low memory and computational time cost. The experimental verification results demonstrated that the high-fidelity digital twin model of the real blisk test piece can effectively capture the variations of sector frequencies and mode shapes due to the small blade geometry variances. Moreover, it also allowed to predict the mistuned responses of the rotating blisk under engine-order excitation.
- integral bladed disk /
- geometry measurement /
- model reduction /
- spinning test /
- digital twin

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图 1 简化的整体叶盘模拟件

Figure 1. Simplified blisk test piece

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图 2 整体叶盘数字孪生建模技术路线

Figure 2. Modeling process of digital twin for blisk

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图 3 网格变形示意图

Figure 3. Schematic plot of mesh deformation

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图 4 扇区模态综合减缩法示意图

Figure 4. Schematic diagram of sector mode assembling reduction technique

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图 5 谐调整体叶盘频率-节径图

Figure 5. Frequency vs. nodal diameter diagram of a tuned blisk

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图 6 1号叶片有限元模型表面节点与点云模型距离偏差

Figure 6. Surface FEM node to point cloud distance at blade 1

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图 7 整体叶盘解谐振动测试

Figure 7. Blade detuning tests for the blisk

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图 8 扇区频率失谐分布对比

Figure 8. Comparison of sector frequency mistuning patterns

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图 9 旋转整体叶盘强迫振动测试

Figure 9. Forced response test of the blisk in spinning rig

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图 10 谐调整体叶盘的坎贝尔图

Figure 10. Campbell diagram of a tuned blisk

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图 11 1弯/EO3共振区间BTT实测叶片强迫振动响应

Figure 11. Forced response by BTT at 1B/EO3 resonance

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图 12 1弯/EO3共振区间预测的叶片强迫振动响应

Figure 12. Forced response by predictions at 1B/EO3 resonance

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图 13 1弯/3EO共振转速处实测/预测工作变形

Figure 13. Predicted/tested operational deflection shape at 1B/EO3 resonance

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图 14 1扭/EO20共振区间BTT实测叶片强迫振动响应

Figure 14. Forced response by BTT at 1T/EO20 resonance

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图 15 1扭/20EO共振转速处实测/预测工作变形

Figure 15. Predicted/tested operational deflection shape at 1T/EO20 resonance

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参考文献(25)

[1]	SCHNELL R, LENGYEL-KAMPMANN T, NICKE E. On the impact of geometric variability on fan aerodynamic performance, unsteady blade row interaction, and its mechanical characteristics[J]. Journal of Turbomachinery, 2014, 136(9): 091005. doi: 10.1115/1.4027218
[2]	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. BAI Bin, BAI Guangchen, TONG Xiaochen, et al. Research 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 BAI Bin, BAI Guangchen, TONG Xiaochen, et al. Research 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)
[3]	VISHWAKARMA V, SINHA A. Forced response statistics of a bladed rotor with geometric mistuning[R]. AIAA-2014-0495, 2014.
[4]	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. YAO Jianyao, 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 YAO Jianyao, 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)
[5]	VISHWAKARMA V, SINHA A, BHARTIYA Y, et al. Modified modal domain analysis of a bladed rotor using coordinate measurement machine data on geometric mistuning[J]. Journal of Engineering for Gas Turbines and Power, 2015, 137(4): 042502. doi: 10.1115/1.4028615
[6]	KASZYNSKI A A, BECK J A, BROWN J M. Automated finite element model mesh updating scheme applicable to mistuning analysis[C]//Proceedings of the ASME Turbo Expo 2014: Turbomachinery Technical Conference and Exposition. Düsseldorf, Germany: ASME, 2014: V07BT33A025.
[7]	CARASSALE L, CAVICCHI A, BRUZZONE S, et al. Probabilistic response of a bladed disk with uncertain geometry[J]. Journal of Engineering for Gas Turbines and Power, 2019, 141(10): 101024. doi: 10.1115/1.4044642
[8]	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[C]//Proceedings of the ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. Oslo, Norway: ASME, 2018: V07CT35A024.
[9]	YUAN Jie, 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
[10]	KASZYNSKI A A, BROWN J M. Accurate blade tip timing limits through geometry mistuning modeling[C]//Proceedings of the ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. Montreal, Canada: ASME, 2015: V07AT27A007.
[11]	BECK J A, KASZYNSKI A A, BROWN J M, et al. Selection of dynamic testing measurement locations for integrally bladed disks[C]//Proceedings of the ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. Oslo, Norway: ASME, 2018: V07CT35A037.
[12]	GILLAUGH D L, KASZYNKSI A A, TOMLIN T C, et al. Accurate blade tip timing placement on a centrifugal impeller using As-manufactured modeling[C]//Proceedings of the ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. Rotterdam, Netherlands: ASME, 2022: V08BT27A035.
[13]	GAMBITTA M, KÜHHORN A, SCHRAPE S. Geometrical variability modelling of axial compressor blisk aerofoils and evaluation of impact on the forced response problem[C]//Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. Virtual, Online: ASME, 2020: V02DT38A028.
[14]	GAMBITTA M, BEIROW B, SCHRAPE S. A digital twin of compressor blisk manufacturing geometrical variability for the aeroelastic uncertainty quantification of the aerodynamic damping[C]//Proceedings of the ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. Rotterdam, Netherlands: ASME, 2022: V08AT21A021.
[15]	李宏坤, 魏代同, 陈玉刚, 等. 数字孪生驱动的旋转叶盘振动状态全景感知方法[J]. 机械工程学报, 2023, 59(21): 270-282. LI Hongkun, WEI Daitong, CHEN Yugang, et al. A full-field sensing method for vibration state of rotating bladed disks driven by digital twin[J]. Journal of Mechanical Engineering, 2023, 59(21): 270-282. (in Chinese doi: 10.3901/JME.2023.21.270 LI Hongkun, WEI Daitong, CHEN Yugang, et al. A full-field sensing method for vibration state of rotating bladed disks driven by digital twin[J]. Journal of Mechanical Engineering, 2023, 59(21): 270-282. (in Chinese) doi: 10.3901/JME.2023.21.270
[16]	BECK J A, BROWN J M, CROSS C J, et al. Component-mode reduced-order models for geometric mistuning of integrally bladed rotors[J]. AIAA Journal, 2014, 52(7): 1345-1356. doi: 10.2514/1.J052420
[17]	BECK J A, BROWN J M, KASZYNSKI A A, et al. Numerical methods for calculating component modes for geometric mistuning reduced-order models[J]. Journal of Engineering for Gas Turbines and Power, 2022, 144(3): 031006. doi: 10.1115/1.4052427
[18]	EPUREANU B, BAEK S. Reduced-order models of blisks with small geometric mistuning[J]. Journal of Vibration and Acoustics, 2017, 139(4): 041003. doi: 10.1115/1.4036105
[19]	GILLAUGH D L, KASZYNSKI A A, BROWN J M, et al. Mistuning evaluation comparison via As-manufactured models, traveling wave excitation, and compressor rigs[J]. Journal of Engineering for Gas Turbines and Power, 2019, 141(6): 061006. doi: 10.1115/1.4042079
[20]	GILLAUGH D, JANCZEWSKI T, KASZYNSKI A, et al. Forced response variation of a compressor utilizing blade tip timing, strain gages, and As-manufactured finite element models[J]. Journal of Engineering for Gas Turbines and Power, 2021: 111023.
[21]	张元, 赵景超, 周标, 等. 基于光学几何测量的整体叶盘几何失谐建模与辨识[J]. 航空动力学报, 2023, 38(1): 61-69. ZHANG Yuan, ZHAO Jingchao, ZHOU Biao, et al. Modeling and identification of geometric mistuning in blisks based on optical geometry measurement[J]. Journal of Aerospace Power, 2023, 38(1): 61-69. (in Chinese ZHANG Yuan, ZHAO Jingchao, ZHOU Biao, et al. Modeling and identification of geometric mistuning in blisks based on optical geometry measurement[J]. Journal of Aerospace Power, 2023, 38(1): 61-69. (in Chinese)
[22]	ZHOU Biao, BERRUTI T M. A novel model reduction approach for blisks with blend repairs and small mistuning[J]. Mechanical Systems and Signal Processing, 2023, 195: 110308. doi: 10.1016/j.ymssp.2023.110308
[23]	赵景超, 周标, 陈伟. 整体叶盘解谐振动测试、失谐辨识与模型确认[J]. 航空动力学报, 2024, 39(3): 20220267. ZHAO Jingchao, ZHOU Biao, CHEN Wei. Blade detuning test, mistuning identification and model verification of blisk[J]. Journal of Aerospace Power, 2024, 39(3): 20220267. (in Chinese ZHAO Jingchao, ZHOU Biao, CHEN Wei. Blade detuning test, mistuning identification and model verification of blisk[J]. Journal of Aerospace Power, 2024, 39(3): 20220267. (in Chinese)
[24]	ZHOU Biao, ZHAO Jingchao, BERRUTI T M. Exploration of blade detuning tests for mistuning identification of blisks[J]. Mechanical Systems and Signal Processing, 2022, 175: 109118. doi: 10.1016/j.ymssp.2022.109118
[25]	BATTIATO G, FIRRONE C M, BERRUTI T M. Forced response of rotating bladed disks: blade tip-timing measurements[J]. Mechanical Systems and Signal Processing, 2017, 85: 912-926. doi: 10.1016/j.ymssp.2016.09.019