Abstract
In modern applications, demand for the rotor shafts made of FGM has increased in aerospace, gas turbine and turbo jet engines due to its improved dynamic characteristics at elevated temperatures. The dynamic vibration response of a functionally graded Jeffcott rotor-bearing system with induced porosities has been studied for non-uniform porosity distributions. The functionally graded (FG) shaft’s radial direction exhibits continuous variation in the material qualities. The FG rotor’s cross-sectional material properties have been graded using the exponential law. The temperature gradients have been considered to be varied across the cross-section based on exponential temperature distribution. For the first time, using the FE method, it has been possible to study the impact of induced porosities on the free vibration frequencies and steady-state vibration responses of the functionally graded rotor-bearing system. This has led to the development of a two-node porous functionally graded rotor element with uneven porosity distributions using the Timoshenko beam theory. It has been observed that the free vibration frequencies and the FG rotor-bearing system critical speeds are affected by increased porosity and thermal gradients. The frequency responses demonstrate that as temperature gradient and volume fraction of porosity rise, the FG rotor-bearing system’s critical speeds shift to the left.
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Research ethics: Not applicable.
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Author contributions: The authors has accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
References
1. Zhu, J, Lai, Z, Yin, Z, Jeon, J, Lee, S. Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy. Mater Chem Phys 2001;68:130–5. https://doi.org/10.1016/s0254-0584(00)00355-2.Search in Google Scholar
2. Li, X. A unified approach for analysing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams. J Sound Vib 2008;318:1210–29. https://doi.org/10.1016/j.jsv.2008.04.056.Search in Google Scholar
3. Meher-Homji, CB, Bhargava, R. Condition monitoring and diagnostic aspects of gas turbine transient response. Int J Turbo Jet Engines 1994;11:99–111. https://doi.org/10.1515/tjj.1994.11.1.99.Search in Google Scholar
4. Mishra, RK, Thomas, J, Srinivasan, K, Nandi, V, Raghavendra Bhatt, R. Investigation of HP turbine blade failure in a military turbofan engine. Int J Turbo Jet Engines 2015;2015:23–31.Search in Google Scholar
5. Rao, ANV, Satish, TN, Naidu, VPS, Jana, S. Machine learning augmented multi-sensor data fusion to detect aero engine fan rotor blade flutter. Int J Turbo Jet Engines 2022;40:s485–506. https://doi.org/10.1515/tjj-2022-0066.Search in Google Scholar
6. Bose, A, Sathujoda, P. Natural frequency analysis of a functionally graded rotor system using three-dimensional finite element method. Vib proced 2019;29:70–5. https://doi.org/10.21595/vp.2019.21099.Search in Google Scholar
7. Sathujoda, P, Bose, A, Canale, G. Natural frequency analysis of a functionally graded rotor-bearing system with a slant crack subjected to thermal gradients. Int J Turbo Jet Engines 2021;40:243–55. https://doi.org/10.1515/tjj-2021-0002.Search in Google Scholar
8. Sathujoda, P, Batchu, A, Obalareddy, B. Fundamental frequency analysis of a thermally loaded corroded exponentially graded rotor bearing system. J Struct Integr Maint 2021;6:257–69. https://doi.org/10.1080/24705314.2021.1892574.Search in Google Scholar
9. Gayen, D, Chakraborty, D, Tiwari, R. Whirl frequencies and critical speeds of a rotor-bearing system with a cracked functionally graded shaft–finite element analysis. Eur J Mech Solid 2017;61:47–58. https://doi.org/10.1016/j.euromechsol.2016.09.003.Search in Google Scholar
10. Batchu, A, Sathujoda, P. Dynamic analysis of a slant-cracked functionally graded rotor-bearing system. In: ASME 2021 gas turbine India conference; 202110.1115/GTINDIA2021-74620Search in Google Scholar
11. Wattanasakulpong, N, Gangadhara Prusty, B, Kelly, D, Hoffman, M. Free vibration analysis of layered functionally graded beams with experimental validation. Mater Des 2012;36:182–90. https://doi.org/10.1016/j.matdes.2011.10.049.Search in Google Scholar
12. Ebrahimi, F, Jafari, A. A higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities. J Eng 2016;2016:1–20. https://doi.org/10.1155/2016/9561504.Search in Google Scholar
13. Vaka, V, Sathujoda, P, Yelike, S. A review on dynamic analysis of porous functionally graded rotor systems. In: Materials, mechanics & amp; modeling (NCMMM-2020); 2021.10.1063/5.0050352Search in Google Scholar
14. Batchu, A, Obalareddy, B, Sathujoda, P. Modelling of a porous functionally graded rotor-bearing system using finite element method. Lect Notes Mech Eng 2021:273–83. https://doi.org/10.1007/978-981-16-1769-025.Search in Google Scholar
15. Sathujoda, P, Batchu, A, Obalareddy, B, Canale, G, Maligno, A, Citarella, R. Free vibration analysis of a thermally loaded porous functionally graded rotor–bearing system. Appl Sci 2020;10:8197. https://doi.org/10.3390/app10228197.Search in Google Scholar
16. Shen, H. Functionally graded materials. [S.l.]. CRC Press; 2019.Search in Google Scholar
17. Touloukian, Y. Thermophysical properties of high temperature solid materials. Macmillan; 1967.Search in Google Scholar
18. Reddy, J, Chin, C. Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stresses 1998;21:593–626. https://doi.org/10.1080/01495739808956165.Search in Google Scholar
19. Nelson, H. A finite rotating shaft element using Timoshenko beam theory. J Mech Des 1980;102:793–803. https://doi.org/10.1115/1.3254824.Search in Google Scholar
20. Nelson, H, McVaugh, J. The dynamics of rotor-bearing systems using finite elements. J. eng. ind. 1976;98:593–600. https://doi.org/10.1115/1.3438942.Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Experimental and numerical investigations on controlled parameter selection methods for kerosene-fueled scramjet
- Thrust-matching and optimization design of turbine-based combined cycle engine with trajectory optimization
- Parametric analysis of thermal cycle of a short take-off and vertical landing engine
- Conjugate heat transfer analysis on double-wall cooling configuration including jets impingement and film holes with conformal pins
- Research on the design method of mode transition control law for Ma6 external parallel TBCC engine
- A new schedule method for compact propulsion system model
- Numerical investigation on mixing of heated confined swirling coaxial jets with blockage
- Finite element based dynamic analysis of a porous exponentially graded shaft system subjected to thermal gradients
- Numerical study on aerodynamic performance of an intake duct affected by ground effect
- Influence of metal magnesium addition on detonation initiation in shock wave focusing Pulse Detonation Engine
- Probabilistic analysis of solid oxide fuel-cell integrated with gas turbine
- Improving thermal performance of turbine blade with combination of circular and oblong fins in a wedge channel: a numerical investigation
- Investigation on effect of injector orifice diameter on injector atomization and combustion characteristics of pulse detonation combustor
- Research on cascade control method for turboshaft engine with variable rotor speed
- The overall film cooling performance of crescent holes
- Air tab location effect on supersonic jet mixing
- Design and analysis of air intake of subsonic cruise vehicle with experimental validation
- Research on an optimization design method for a TBCC propulsion scheme
- Performance analysis of a gas turbine engine via intercooling and regeneration- Part 2
- Effects of bleed pressure on shock-wave/boundary-layer interactions in a transonic compressor stator with suction holes
- Effect of asymmetric leading edge on transition of suction side