【摘要】 本文研究法向载荷作用下有剪切变形的中厚扁壳问题的基本方程和边界条件。由弹性理论Hellinger-Reissner二类变量广义变分原理,得到用应力函数F和广义位移函数Φ,φ,ω表达的中厚扁壳问题的方程和关于边界条件及其补充条件的变分方程。对其边界条件作简化,边界层函数φ的边值问题与F,Φ,w边值问题解耦。 弹性中厚板弯曲问题是本文的曲率张量k_αβ=0的情况。更多还原

【Abstract】 The paper is concerned with the basic equations and the boundary conditions for the elastic shallow shells with middle thickness, subjected to shearing deformations and nomal loadings.The equations for the elastic shallow shells with middle thickness and their variational equations for the boundary conditions and the complementary conditions are derived from the Helinger-Reissner generalized variational principle about two kinds of variables of elastic theory. These equations derived here are expressed by the stress function F and generalized displacement functions Φ,φ and ω.After the boundary conditions are simplefied（cf.[1]）,the boundary value problem of the boundary layer function φ and that of F, Φ and ω are uncoupled.The problem for the elastic plates with middle thickness discussed in [1,3], is the case that the curvature tensor K_αβ=0 in this paper.更多还原