Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 455-460.

• 论文 • 上一篇    下一篇

NONLINEAR BENDING OF SHALLOW SPHERICAL SHELLS ON THE PASTERNAK FOUNDATIONS

林家骥, 惠兴中, 曹爱群   

  1. Xi’an Institute of Metallurgy and Construction and Engineering, Xi’an
  • 收稿日期:1990-03-27 出版日期:1991-05-18 发布日期:1991-05-18

NONLINEAR BENDING OF SHALLOW SPHERICAL SHELLS ON THE PASTERNAK FOUNDATIONS

Lin Jia-ji, Xi Xing-zhong, Cao Ai-qun   

  1. Xi’an Institute of Metallurgy and Construction and Engineering, Xi’an
  • Received:1990-03-27 Online:1991-05-18 Published:1991-05-18

摘要: Based on Karman’s nonlinear fundamental differential equations, the new approach, which combines modi/led iteration method with Galerkin’s one, has been put forward to solve nonlinear bending of shallow spherical shell with concave base and clamped edges on the Pasternak foundation under uniform loads in this paper. Mathematical expression of load-deflection has been given; furthermore, results obtained are in good agreement with existent ones.

关键词: shallow sphericall/pasternak foundation, modified iteration method, nonlinear bending, Galerkin’s method

Abstract: Based on Karman’s nonlinear fundamental differential equations, the new approach, which combines modi/led iteration method with Galerkin’s one, has been put forward to solve nonlinear bending of shallow spherical shell with concave base and clamped edges on the Pasternak foundation under uniform loads in this paper. Mathematical expression of load-deflection has been given; furthermore, results obtained are in good agreement with existent ones.

Key words: shallow sphericall/pasternak foundation, modified iteration method, nonlinear bending, Galerkin’s method

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