Structural Engineering and Mechanics

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Analysis of transversely isotropic hollow toroids using the semi-analytical DQM

  • Jiang, W. (Department of Mechanical Engineering, University of Ottawa) ;
  • Redekop, D. (Department of Mechanical Engineering, University of Ottawa)
  • Published : 2002.01.25
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Abstract

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.

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References

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  2. FREE VIBRATION OF TRANSVERSELY ISOTROPIC SOLID AND THICK-WALLED TOROIDAL SHELLS vol.06, pp.03, 2006, https://doi.org/10.1142/S0219455406002027
  3. Free vibration of orthotropic functionally graded beams with various end conditions vol.20, pp.4, 2005, https://doi.org/10.12989/sem.2005.20.4.465