A novel design methodology for preventing dislocation in the Zig-zag shroud
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Chenhong Du
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Yanrong Wang
Abstract
Dislocation is defined as the inability of shrouded blades to return to their normal position after deformation caused by an external force. Numerous methods exist for designing shrouds of turbine engines, targeting structural strength, sealing performance, contact interface wear, or damping. However, these designs often fail when dislocation occurs, which is a common issue in engineering. Limited methods focus on preventing shroud dislocation. In this article, we classify the dislocation of zig-zag shrouds into two patterns. A method for calculating the equivalent stiffness of the contact interface is provided to determine the clearance of non-working surfaces. Through a series of static analysis, we introduce a method to adjust the shroud shape and assess its capability in preventing dislocation. All methods are tested on a low-pressure turbine blade.
Funding source: National Science and Technology Major Project
Award Identifier / Grant number: 2017-IV-0002-0039
Funding source: National Science and Technology Major Project
Award Identifier / Grant number: 2022-IV-0010-0024
Acknowledgments
This work is supported by the National Science and Technology Major Project (No. 2017-IV-0002-0039) and National Science and Technology Major Project (No. 2022-IV-0010-0024).
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Research ethics: Not applicable.
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Informed consent: Informed consent was obtained from all individuals included in this study, or their legal guardians or wards.
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Author contributions: Chenhong Du: writing, methodology, investigation. Yanrong Wang: methodology, funding acquisition, project administration. Di Li: conceptualization, supervision. Yuanyuan Jiang: methodology.
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Use of Large Language Models, AI and Machine Learning Tools: Xhang AI (https://xhang.buaa.edu.cn/) is used to improve language.
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Conflict of interests: The authors states no conflict of interest.
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Research funding: National Science and Technology Major Project (No. 2017-IV-0002-0039) National Science and Technology Major Project (No. 2022-IV-0010-0024).
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Data availability: Not applicable.
References
1. Cui, C, Ma, H, Jin, Y, Xie, F, Yang, T, Liu, S. Numerical and experimental investigation on the vibro-impact responses analysis of shrouded blade. J Low Freq Noise Vib Act Control 2019;38:1188–201. https://doi.org/10.1177/1461348418811456.Search in Google Scholar
2. Denimal, E, Nechak, L, Sinou, J, Nacivet, S. Kriging surrogate models for predicting the complex eigenvalues of mechanical systems subjected to friction-induced vibration. Shock Vib 2016. https://doi.org/10.1155/2016/3586230.Search in Google Scholar
3. Denimal, E, Nechak, L, Sinou, J, Nacivet, S. A novel hybrid surrogate model and its application on a mechanical system subjected to friction-induced vibration. J Sound Vib 2018. https://doi.org/10.1016/j.jsv.2017.08.005.Search in Google Scholar
4. Denimal, E, Renson, L, Wong, C, Salles, L. Topology optimisation of friction under-platform dampers using moving morphable components and the efficient global optimization algorithm. Struct Multidiscip Optim 2022;65:56. https://doi.org/10.1007/s00158-021-03158-w.Search in Google Scholar
5. Fan, J, Han, L, Wang, R, Shen, X, Zeng, W, Chang, Z. Research on structural design and optimization of turbine blade shroud. In: Research on structural design and optimization of turbine blade shroud. ASME 2012 Gas Turbine India Conference Mumbai, Maharashtra, India: ASME; 2012, pp. 657–663. https://doi.org/10.1115/GTINDIA2012-9590.Search in Google Scholar
6. Gao, S, Wang, Y, Sun, Z, Chen, S. A prediction method with altering equivalent stiffness for damping evaluation of shrouded bladed disk dynamic systems. Symmetry 2021;13. https://doi.org/10.3390/sym13030413.Search in Google Scholar
7. Krack, M. Nonlinear modal analysis of nonconservative systems: extension of the periodic motion concept. Comput Struct 2015;154:59–71. https://doi.org/10.1016/j.compstruc.2015.03.008.Search in Google Scholar
8. Krack, M, Scheidt, L, Wallaschek, J. A method for nonlinear modal analysis and synthesis: application to harmonically forced and self-excited mechanical systems. J Sound Vib 2013;332:6798–814. https://doi.org/10.1016/j.jsv.2013.08.009.Search in Google Scholar
9. Krack, M, Scheidt, L, Wallaschek, J, Siewert, C, Hartung, A. Reduced order modeling based on complex nonlinear modal analysis and its application to bladed disks with shroud contact. J Eng Gas Turbines Power 2024;135:102502.10.1115/1.4025002Search in Google Scholar
10. Li, C, Li, T, Qiao, R, Wen, B, Haddadpour, H. Study on the damping mechanism of the shrouded blade considering contact features. Shock Vib 2019;2019:6594345.10.1155/2019/6594345Search in Google Scholar
11. Ma, D, Li, J, Zhang, Y, Li, Z, Yan, X, Song, L. Application of blade tip shroud brush seal to improve the aerodynamic performance of turbine stage. Proc Inst Mech Eng A J Power Energy 2020;234:777–94. https://doi.org/10.1177/0957650919883153.Search in Google Scholar
12. Nan, G, Lou, J, Song, C, Tang, M, Maia, N. A new approach for solving rub-impact dynamic characteristics of shrouded blades based on macroslip friction model. Shock Vib 2020. https://doi.org/10.1155/2020/8147143.Search in Google Scholar
13. Peeters, M, Viguié, R, Sérandour, G, Kerschen, G, Golinval, J. Nonlinear normal modes, part ii: toward a practical computation using numerical continuation techniques. Mech Syst Signal Process 2009;23:195–216. https://doi.org/10.1016/j.ymssp.2008.04.003.Search in Google Scholar
14. Porreca, L, Kalfas, A, Abhari, R. Optimized shroud design for axial turbine aerodynamic performance. J Turbomach 2008. https://doi.org/10.1115/1.2777187.Search in Google Scholar
15. Srinivasan, A. Flutter and resonant vibration characteristics of engine blades. J Eng Gas Turbines Power 1997;119:742–75. https://doi.org/10.1115/1.2817053.Search in Google Scholar
16. Sun, Y, Denimal, E, Yuan, J, Salles, L. Geometric design of friction ring dampers in blisks using nonlinear modal analysis and kriging surrogate model. Struct Multidiscip Optim 2022;65:98. https://doi.org/10.1007/s00158-021-03093-w.Search in Google Scholar
17. Wu, J, Xie, Y, Zhang, D, Zhang, M. Experimental friction damping characteristic of a steam turbine blade coupled by shroud and snubber at standstill set-up. In: Proceedings of the ASME turbo expo 2012: turbine technical conference and exposition, ASME, Copenhagen, Denmark; 2012. https://doi.org/10.1115/GT2012-69472.Search in Google Scholar
18. Xu, W, Yang, J. Spiral-grooved gas face seal for steam turbine shroud tip leakage reduction: performance and feasibility analysis. Tribol Int 2016;98:242–52. https://doi.org/10.1016/j.triboint.2016.02.035.Search in Google Scholar
19. Zhang, W, Huang, D, Wang, Y, Jiang, S, Wang, P, Chen, Y. The impact of mainstream ingress on the leakage flow and loss in partial shrouded turbines. Aero Sci Technol 2023;142:108654. https://doi.org/10.1016/j.ast.2023.108654.Search in Google Scholar
20. Zhao, W, Liu, Z, Zhang, D, Xie, Y. A method for vibration optimization of damped blade parameters by golden section. In: IOP conference series: materials science and engineering. Xi’an, Shanxi, China: IOP Publishing; 2018, 381:012052. https://doi.org/10.1088/1757-899X/381/1/012052.Search in Google Scholar
21. Zheng, D, Liu, G, He, S, Han, B. Comparative analysis of rub-impact dynamics of shrouded blades based on the bilinear hysteresis model and the Coulomb friction model. Lubricants 2022;10:2. https://doi.org/10.3390/lubricants10020031.Search in Google Scholar
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Articles in the same Issue
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- A novel design methodology for preventing dislocation in the Zig-zag shroud
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Articles in the same Issue
- Frontmatter
- Simulation and analysis of the over-expanded flow field in asymmetric nozzles with lateral expansion
- Design optimization of a fluidic thrust vectoring system based on coanda effect using meta-models
- Research on vibration damping of integral squeeze film damper based on fan rotor tester of turbofan
- Influence of conical shaft stiffness on the dynamic characteristics of flexible rotor
- A novel design methodology for preventing dislocation in the Zig-zag shroud
- Numerical study of effect of the casing slot on the tip leakage vortex and vortex cavitation of a fuel pump
- Multi-parameter study on array-jets impingement with crossflow temperature effect
- Exploration of shock-induced flow dynamics and turbulence-driven combustion optimization in advanced cavity configurations of hydrogen fueled scramjet combustors
- A part-load performance analysis method for gas turbines based on the stage by stages model of the power turbine
- Effect of lip-thickness on rectangular nozzle co-flowing subsonic jet
- Numerical analysis of pollutant formation and exhaust emission in a short annular combustor under part load operation
- Analysis of leakage characteristics and structural optimization of two-stage floating ring seal
- Hypersonic boundary layer flow at an axisymmetric stagnation point on a blunt body
- Numerical simulations of a turbulent lifted hydrogen flame in vitiated coflow with flamelet generated manifold approach
- Optimization of labyrinth seal leakage with independently varied tooth parameters using efficient global optimization
- Investigations of modified cooling hole injection angle configurations for improved trench film cooling performance
- Influence of non-axisymmetric endwall profiling under incoming vortex on the corner separation of a diffusion cascade
- Impact of annular ribs in sudden expansion flow conditions to control base pressure
- Effect of preheated swirling multi-annular jets on mixing and flow characteristics in various expanded confinements
