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Structural Engineering and Mechanics
  Volume 13, Number 1, January 2002, pages 103-116

Analysis of transversely isotropic hollow toroids using the semi-analytical DQM
W. Jiang and D. Redekop (Canada)

    A solution based on the linear three-dimensional theory of elasticity is developed for vibration and elastostatic problems of hollow toroids. The theory is developed for transversely isotropic toroids of arbitrary thickness, and has the potential to validate some vehicle and aircraft tire models in the linear range. In the semi-analytical method that is adopted Fourier series are written in the circumferential direction, forming a set of two-dimensional problems. These problems are solved using the differential quadrature method. A commercial finite element program is used to determine alternative solutions. For validation both problems of vibration and elastostatics are considered. Finally results are determined for local surface loading problems, and conclusions are drawn.
Key Words
    toroids, differential quadrature, finite elements
Univ Ottawa, Dept Mech Engn, Ottawa, ON K1N 6N5, Canada

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