Structural Engineering and Mechanics

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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)
  • Published : 1998.06.25
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Abstract

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.

Keywords

Acknowledgement

Supported by : Natural Science Foundation

References

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