NONLINEAR BENDING OF SHALLOW SPHERICAL SHELLS ON THE PASTERNAK FOUNDATIONS  

作　　者：林家骥 惠兴中 曹爱群 

机构地区：[1]Xi'an Institute of Metallurgy and Construction and Engineering. Xi'an

出　　处：《Applied Mathematics and Mechanics(English Edition)》1991年第5期455-460,共6页应用数学和力学（英文版）

摘　　要：Based on Karman's nonlinear fundamental differential equations, the new approach, which combines modified 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.Based on Karman's nonlinear fundamental differential equations, the new approach, which combines modified 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：Mathematical Techniques Boundary Value Problems Mathematical Techniques Iterative Methods STRAIN ANALYSIS Stresses ANALYSIS 

分 类 号：O3，O1[理学—力学]