Journal of Shanghai University(Natural Science Edition)

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Application of Differential Quadrature Method to Space Axial Symmetry Problems in Elasticity

LI Ying;CHENG Chang jun   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Universit y, Shanghai 200072, China; 2. School of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2006-03-29 Online:2007-02-28 Published:2007-02-28

Abstract: Based on the principle of differential quadrature method (DQM), the DQ discretization equations of space axial symmetry problems in elasticity in two cases of static state and free vibration are derived, and numerical calculations are implemented in the present paper. The effect of spacing points on the numer ical results is considered when different spacing points are adopted. Comparison between the results and those obtained from FEM shows that the differential qua drature method has some merits such as higher accurate, good convergence, few gr id points and calculation workload.

Key words: natural frequency, space axial symmetry problem, differential quadrature method