半圆环截面细环壳的屈曲

Buckling of Slender Toroidal Shells with Hemicyclic Section

本文由Sanders非线性平衡方程和Koiter小应变协调方程推导出细环壳的非线性微分方程和稳定方程。用伽辽金法求解了静水压或边界载荷作用下的半园环截面细环壳的稳定方程。对于不同的边界条件及一系列几何参数,计算得到了临界载荷及屈曲模态。

In the present paper, the nonlinear differential equations and stability equations for slender toroidal shells are derived from Sander' s nonlinear equilibrium equations and Koiter's compatibility equations for small strains.The stability equations are solved by use of Galerkin method for slender toroidal shells with Hemicyclic meridional sections under hydrostatic pressures or boundary loads. The buckling modes and correspouding critical loads are calculated for several boundary conditions and a series of geometrical parameters.