Structural Engineering and Mechanics

  • 제6권4호
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  • Pages.457-466
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  • 1998
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Elastodyamic analysis of torsion of shaft of revolution by line-loaded integral equation method

  • Yun, Tian Quan (Department of Mechanics, South China University of Technology)
  • 발행 : 1998.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

The dynamic response of an elastic torsion shaft of revolution is analysed by the Line-Loaded Integral Equation Method (LLIEM). A "Dynamic Point Ring Couple" (DPRC) is used as a fictitious fundamental load and is distributed in an elastic space along the axis of the shaft outside the shaft occupation. According to the boundary condition, our problem is reduced to a 1-D Fredholm integral equation of the first kind, which is simpler for solving than that of a 2-D singular integral equation of the same kind obtanied by Boundary Element Method (BEM), for steady periodically varied loading. Numerical example of a shaft with quadratic generator under sinusoidal type of torque is given. Formulas for stresses and dangerous frequency are mentioned.

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation

참고문헌

  1. Cheung, Y.K., Lei, Z.X. and Tham, L.G. (1993), "Application of time-domain BEM to elastodynamics analysis", Computational Mechanics, 1, Valliappan, Pulmano & Tin-Loi (eds), Balkema, Rotterdam, 61-66.
  2. Eringen, A.C. and Suhubi, E.S. (1975), Elastodynamics, Academic Press, New York.
  3. Tham, L.G., Cheung, Y.K. and Lei, Z.X. (1994), "Torsional dynamic analysis of single piles by timedomain BEM", J. Sound Vib., 174(4), 505-519. https://doi.org/10.1006/jsvi.1994.1291
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  6. Yun, T.Q., Shao, U.C. and Oiu, C.Q. (1981), "Analysis of ellipsoid compressed by two axial concentrated forces at two ends", Appl. Math. & Mech., 2(6), 699-710. https://doi.org/10.1007/BF01897641
  7. Yun, T.Q. (1988), "Torsion of rigid circular shaft of varying diameter embedded in an elastic half space", Appl. Math. & Mech., 9(5), 449-453. https://doi.org/10.1007/BF02465683
  8. Yun, T.Q. (1990), "Torsion of elastic shaft of revolution embedded in an elastic half space", Appl. Math. & Mech., 11(6), 489-498. https://doi.org/10.1007/BF02016379
  9. Yun, T.Q. (1991), "Analysis of sloping rigid pile under arbirtary load by Line-Loaded Integral Equation Method", Computational Mechanics, Proc. of APCOM, Hong Kong, Cheung, Lee, & Leung (eds), Balkema, Rotterdam, 1, 845-850.
  10. Yun, T.Q. Su, C. (1992), Analysis of shaft embedded in granular half space by the line-load integral equation method, Int. J. Computers & Structures, 43(4), pp.729-735. https://doi.org/10.1016/0045-7949(92)90515-2
  11. Yun, T.Q. and Gu, H.N. (1993), "The solution of dynamic point-ring-couple in an elastic space and its properties", Appl. Math. & Mech., 14(10), 845-852.
  12. Yun, T.Q. (1994), "Application of LLIEM to elastodynamic analysis of torsion shaft of revolution", Proceedings of the Third World Congress on Computational Mechanics (WCCM), Chiba, Japan, 1, 157-158.
  13. Yun, T.Q. and Li, L. (1995), "Analysis of in-plane-hinge jointed rigid sloping piles", Int. J. Computers & Structures, 55(2), 341-346. https://doi.org/10.1016/0045-7949(94)00448-C

피인용 문헌

  1. Uniquenes of solution of field point of singular source outside-region-distribution method vol.20, pp.1, 1998, https://doi.org/10.1007/bf02459271