弹性地基上环壳的应力计算分析

STRESS ANALYSIS OF TOROIDAL SHELL ON ELASTIC FOUNDATION

本文对于弹性地基上的承载环壳提出两个计算模型。(1)Winkler地基模型,文中提出了通过地基的弹性参数近似计算基床系数k的方法。(2)通过轴对称壳单元,二维单元与无穷单元相连接,模拟承载环壳与地基(半无限弹性体)相互作用的计算模型。通过算例比较了两种模型的计算结果,并讨论了基床系数对于环壳应力状态的影响。

This paper provides two calculating models of toroidal shell on elastic foun-dation to perform the Finite Element Analysis. (1 ) Winkler foundationmodel: The foundation reaction to the shell in the contact zone can be express-ed in terms of shell displacement. The method for determining the founda-tion modulus transformed from the elastic parameters E and v of the founda-tion is carried out by use of the Boussinesq solution. (2 ) Model combiningaxisymmetric shell element with two dimensional element and infinite domainelement: This model can simulate the interaction between the toroidal shelland a semi-infinite elastic body (elastic foundation ). Numerical examples showthat the stress results of the two calculating models are coincident with eachother very well, and the stresses in the shel1 are insensitive to the value offoundation modulus.