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Vibration analysis of rotating pre-twisted curved blades under thermal environment

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Abstract

Vibration characteristics of rotating pre-twisted curved blades, made of INCONEL 718 and operating in thermal environment, are numerically investigated in this paper. Commercially available software ANSYS is used to perform combined steady state thermal and pre-stressed modal analysis. Analysis is performed for different blade taper ratios, pitch angles and rotating speed conditions. Both straight and curved blades, modelled as plates with clamped-free-free-free boundary conditions, and subjected to steady state thermal and pre-stressed conditions are numerically analysed to determine their natural frequencies. Free vibration characteristics of straight and curved blades, having the same volume and material properties, are estimated to see the effect of changing the geometry from flat blades to curved ones. The effect of change in the temperature at different rotating speeds is also investigated.

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References

  1. French RF (1962) Mechanical evaluation of gas-turbine blades in their actual centrifugal field. Exp Mech 2:122–128

    Article  Google Scholar 

  2. Lovesey AC (1964) Gas turbine development—thirteen and a half years in commercial aircraft. J R Aeronaut Soc 68(644):517–528

    Article  Google Scholar 

  3. van Nimwegen RR (1961) Transient temperatures and thermal stress problems in small gas turbines. In: Proceedings of the ASME 1961 gas turbine power conference and exhibit. ASME 1961 Gas Turbine Power Conference and Exhibit. Washington, DC, USA

  4. Naguleswaran S (1994) Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam. J Sound Vib 176(5):613–624

    Article  MATH  Google Scholar 

  5. Nachman A, Lakin WD (1982) Transverse buckling of a rotating Timoshenko beam. J Eng Math 16(2):181–195

    Article  MATH  Google Scholar 

  6. Fu Y, Price WG (1987) Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid. J Sound Vib 118(3):495–513

    Article  Google Scholar 

  7. Carnegie W, Thomas J (1972) The coupled bending—bending vibration of pre-twisted tapered blading. J Eng Ind 94(1):255–266

    Article  Google Scholar 

  8. Rao JS (1972) Flexural vibration of pretwisted tapered cantilever blades. J Eng Ind 94(1):343–346

    Article  Google Scholar 

  9. Leissa AW, Lee JK, Wang AJ (1984) Vibrations of twisted rotating blades. J Vib Acoust Stress Reliab Des 106(2):251–257

    Article  Google Scholar 

  10. Rao JS, Gupta K (1987) Free vibrations of rotating small aspect ratio pretwisted blades. Mech Mach Theory 22(2):159–167

    Article  Google Scholar 

  11. Nabi SM, Ganesan N (1993) Vibration and damping analysis of layered isotropic twisted blades. Comput Struct 48(4):729–732

    Article  Google Scholar 

  12. Chandiramani NK, Shete CD, Librescu LI (2003) Vibration of higher- order-shearable pretwisted rotating composite blades. Int J Mech Sci 45(12):2017–2041

    Article  MATH  Google Scholar 

  13. Swaminathan M, Rao JS (1977) Vibrations of rotating, pretwisted and tapered blades. Mech Mach Theory 12(4):331–337

    Article  Google Scholar 

  14. Oh Y, Yoo HH (2001) Vibration analysis of a rotating pre-twisted blade considering the coupling effects of stretching, bending, and torsion. J Sound Vib 431:20–39

    Article  Google Scholar 

  15. Surace G, Anghel V, Mares C (1997) Coupled bending–bending–torsion vibration analysis of rotating pretwisted blades: an integral formulation and numerical examples. J Sound Vib 206(4):473–486

    Article  Google Scholar 

  16. Yoo HH, Hun Park J, Park J (2001) Vibration analysis of rotating pre-twisted blades. Comput Struct 79(19):1811–1819

    Article  Google Scholar 

  17. Hu XX, Sakiyama T, Matsuda H, Morita C (2004) Fundamental vibration of rotating cantilever blades with pre-twist. J Sound Vib 271(1):47–66

    Article  Google Scholar 

  18. Rostami H, Bakhtiari-Nejad F, Ranji AR (2019) Vibration of the rotating rectangular orthotropic Mindlin plates with an arbitrary stagger angle. J Vib Control 25(6):1194–1209

    Article  MathSciNet  Google Scholar 

  19. Maji P, Rout M, Karmakar A (2020) Free vibration response of carbon nanotube reinforced pretwisted conical shell under thermal environment. Proc Inst Mech Eng Part C J Mech Eng Sci 234(3):770–783

    Article  Google Scholar 

  20. Liu LT, Hao YX, Zhang W, Chen J (2018) Free vibration analysis of rotating pretwisted functionally graded sandwich blades. Int J Aerosp Eng 2018:2727452

    Article  Google Scholar 

  21. Librescu L, Oh S-Y, Song O, Kang H-S (2008) Dynamics of advanced rotating blades made of functionally graded materials and operating in a high-temperature field. J Eng Math 61(1):1–16

    Article  MATH  Google Scholar 

  22. Shenas AG, Malekzadeh P, Ziaee S (2017) Vibration analysis of pre- twisted functionally graded carbon nanotube reinforced composite beamsin thermal environment. Compos Struct 162:325–340

    Article  Google Scholar 

  23. Singha TD, Rout M, Bandyopadhyay T, Karmakar A (2021) Free vibration of rotating pretwisted FG-GRC sandwich conical shells in thermal environment using HSDT. Compos Struct 257:113144

    Article  Google Scholar 

  24. Cao D, Liu B, Yao M, Zhang W (2017) Free vibration analysis of a pre- twisted sandwich blade with thermal barrier coatings layers. Sci China Technol Sci 60(11):1747–1761

    Article  Google Scholar 

  25. Gu XJ, Hao YX, Zhang W, Liu LT, Chen J (2019) Free vibration of rotating cantilever pre-twisted panel with initial exponential function type geometric imperfection. Appl Math Model 68:327–352

    Article  MathSciNet  MATH  Google Scholar 

  26. Li C, Cheng H (2021) Free vibration analysis of a rotating varying- thickness-twisted blade with arbitrary boundary conditions. J Sound Vib 492:115791

    Article  Google Scholar 

  27. Chen Y, Ye T, Jin G, Li S, Yang C (2021) Vibration analysis of rotating pretwist FG sandwich blades operating in thermal environment. Int J Mech Sci 205:106596

    Article  Google Scholar 

  28. Chen Y, Jin G, Ye T, Lee HP (2022) Three-dimensional vibration analysis of rotating pre-twisted cylindrical isotropic and functionally gradedshell panels. J Sound Vib 517:116581

    Article  Google Scholar 

  29. Jeyaraj P, Padmanabhan C, Ganesan N (2008) Vibration and acoustic response of an isotropic plate in a thermal environment. J Vib Acoust 130(5):051005

  30. Guo H, Ouyang X, Zur KK, Wu X, Yang T, Ferreira AJM (2022) On the large-amplitude vibration of rotating pre-twisted graphene nanocomposite blades in a thermal environment. Compos Struct 282:115129

    Article  Google Scholar 

  31. Zhang Y, Liu P, Li Z (2022) Impact of cooling with thermal barrier coatings on flow passage in a gas turbine. Energies 15(1):85

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This is to declare that the authors have not received any financial assistance for the research and publication of this article.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Government College of Engineering Kannur, Kannur, Kerala, India

    P. Akshay Chandran & C. P. Sudheesh Kumar

Authors
  1. P. Akshay Chandran
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  2. C. P. Sudheesh Kumar
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Contributions

ACP: Literature review, Problem formulation, Analysis using Matlab, Generating results, Writing of the paper, SKCP: Problem identification, Interpretation of results, Arriving at conclusions. Overall checking of the paper (both technical details and language).

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Correspondence to P. Akshay Chandran.

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Chandran, P.A., Kumar, C.P.S. Vibration analysis of rotating pre-twisted curved blades under thermal environment. Int. J. Dynam. Control 11, 919–927 (2023). https://doi.org/10.1007/s40435-022-01059-4

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  • DOI: https://doi.org/10.1007/s40435-022-01059-4

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