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Techno Press
Techno Press

Structural Engineering and Mechanics
  Volume 6, Number 4, June 1998 , pages 457-466
DOI: https://doi.org/10.12989/sem.1998.6.4.457
 

Elastodynamic analysis of torsion of shaft of revolution by line-loaded integral equation method
Yun TQ

 
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.

 
Key Words
    torsion of shaft of revolution, elastodynamic analysis, the line-loaded integral equation method
 
Address
Yun TQ, S China Univ Technol, Dept Mech, Guangzhou 510641, Peoples R China
S China Univ Technol, Dept Mech, Guangzhou 510641, Peoples R China
 
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