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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

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.

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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.
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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