Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (11): 1023-1031.

• Articles • Previous Articles     Next Articles

NONLINEAR BENDING OF THE SHALLOW SPHERICAL SHELLS WITH VARIABLE THICKNESS UNDER AXISYMMETRICAL LOADS

Niu Zhong-rong   

  1. Institute of Applied Mechanics, Hcfei University of Technology, Hefei
  • Received:1992-10-05 Online:1993-11-18 Published:1993-11-18

Abstract: Based on the differential equation of the nonlinear bending of shallow spherical shells with variable thickness under axisymmetrical loads, this paper studies the numerical solution of the nonlinear differential equation by means of interpolating matrix method. The analysis of the results indicates that the suggested method is easy to implement and obtains the same high accuracy for both the displacements and the internal forces.

Key words: shallow spherical shell, variable thickness, nonlinear analysis, interpolating matrix method

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