Advances in aircraft and spacecraft science

  • 제5권1호
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  • Pages.51-71
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  • 2018
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  • 2287-528X(pISSN)
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  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
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Dynamic calculation of a tapered shaft rotor made of composite material

  • Rachid, Zahi (Laboratory of Mechanics of Structures and Solids LMSS, University of Sidi Bel Abbes) ;
  • Kaddour, Refassi (Laboratory of Mechanics of Structures and Solids LMSS, University of Sidi Bel Abbes) ;
  • Achache, Habib (University Dr Yahia Fares Medea)
  • 투고 : 2017.06.24
  • 심사 : 2017.09.09
  • 발행 : 2018.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

This work proposes a theoretical and numerical study on the behavior of a tapered shaft rotor made of composite materials by the classical version h and the version p of the finite element method. Hierarchical form functions are used to define the model. The purpose of this paper is to determine the expressions of the kinetic and potential energies of the tree necessary for the results of the equations of motion. A comparison between the version h and the p version of the finite element method of the functions of polynomial and trigonometric hierarchical forms with six degrees of freedom per node, of a composite tapered and cylindrical shaft which rotates at a constant speed about its axis. It is found that when the number of functions of form (the version p) is increased, the solution converges. It is also observed that the conicity of the shaft increases the rigidity with respect to a uniform shaft having the same mechanical properties. The numerical simulation allowed us to determine the natural frequencies and the critical speeds of the composite shaft systems are compared with those available in the literature and the effectiveness of the methods used are discussed.

키워드

참고문헌

  1. Archer, J.S. (1965), "Consistent matrix formulation for structural analysis using finite element techniques", J. Struct. Div., 1910-1918.
  2. Bauchau, O.A. (1983), "Optimal design of high speed rotating graphite/epoxy shafts", J. Compos. Mater., 17, 170-181. https://doi.org/10.1177/002199838301700205
  3. Bert, C.W. and Kim, C.D. (1995), "Whirling of composite-material driveshafts including bending, twisting coupling and transverse shear deformation", J. Vibr. Acoust., 117, 17-21.
  4. Bert, C.W. and Kim, C.D. (1995), "Whirling of composite-material driveshafts including bending, twisting coupling and transverse shear deformation", J. Vibr. Acoust., 117, 17-21.
  5. Berthelot, J.M. (1996), Materiaux Composites, Comportement Mecanique et Analyse des Structures, Deuxieme Edition, Masson, Paris, France.
  6. Chang, C.Y. (2004), "Vibration analysis of rotating composite shafts containing randomly oriented reinforcements", Compos. Struct., 63, 21-32. https://doi.org/10.1016/S0263-8223(03)00121-1
  7. Cowper, G.R. (1966), "The shear coe$cient in Timoshenko's beam theory", J. Appl. Mech., 33, 335-340. https://doi.org/10.1115/1.3625046
  8. Dharmarajan, S. and Mccutchen Jr, H. (1973), "Shear coe$cients for orthotropic beams", J. Compos. Mater., 7, 530-535. https://doi.org/10.1177/002199837300700411
  9. Duster, A. and Rank, E. (2001), "The p-version of the finite element method compared to an adaptive h-version for the deformation theory of plasticity", Comput. Meth. Appl. Mech. Eng., 190, 1925-1935. https://doi.org/10.1016/S0045-7825(00)00215-2
  10. Edney, S.L., Fox, C.H.J. and Williams, E.J. (1989), "Finite element analyses of tapered rotors", Proceedings of the 7th International Modal Analysis Conference, Las Vegas, U.S.A.
  11. Edney, S.L., Fox, C.H.J. and Williams, E.J. (1990), "Finite element analyses of tapered rotors", J. Sound Vibr., 463-481.
  12. Genta, G. and Gugliotta, A. (1984), Un Modello Per Studio Dinamico Dei VII Congres Naz AIMETA.
  13. Gmur, T.C. and Rodrigues, J.F. "A shaft finite element for rotors dynamics analysis", J. Sound Vibr.
  14. Greenhill, L.M., Bickford, W.B. and Nelson, H.D. (1985), "A conical beam finite element for rotor dynamics analysis", J. Sound Vibr., 421-430.
  15. Houmat, A. (2001), "A sector fourier p-element applied to free vibration analysis of sector plates", J. Sound Vibr., 243, 269-282. https://doi.org/10.1006/jsvi.2000.3410
  16. Kim, C.D. and Bert, C.W. (1993), "Critical speed analysis of laminated composite, hollow drive shafts", Compos. Eng., 3, 633-643. https://doi.org/10.1016/0961-9526(93)90087-Z
  17. Kim, W. (1999), "Free vibration of a rotating tapered composite Timoshenko shaft", J. Sound Vibr., 226(1), 125-147. https://doi.org/10.1006/jsvi.1999.2289
  18. Meirovitch, L. and Baruh, H. (1983), "On the inclusion principle for the hierarchical finite element method", J. Numer. Meth. Eng., 19, 281-291. https://doi.org/10.1002/nme.1620190209
  19. Thomas, D.L. (1973), Wilson J. Sound Vibr., 31-315-330. https://doi.org/10.1016/S0022-460X(73)80276-7

피인용 문헌

  1. Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method vol.2020, pp.None, 2020, https://doi.org/10.1155/2020/3453298
  2. Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Using the Generalized Differential Quadrature Method vol.2020, pp.None, 2018, https://doi.org/10.1155/2020/1695430