圆弧拱考虑一般缺陷的面内屈曲

研究了几何缺陷、荷载非均匀分布和支座沉陷对圆弧拱面内屈曲的影响.基于能量的变分原理推导了考虑缺陷的微分方程,得到了外荷载和轴力的关系式以及径向位移的表达式.从微分方程出发用摄动法对屈曲荷载的缺陷敏感性进行了分析,得到了屈曲荷载的近似表达式.结果表明近似解与精确解吻合良好;正对称屈曲荷载对正对称缺陷参数十分敏感;反对称缺陷参数对反对称屈曲荷载影响显著而正对称缺陷参数影响很小.

In-plane Buckling of Circular Arch Considering General Imperfections

The effects of geometrical imperfections, unuhiform loads and support settlements on the in-plane buckling of circular arch are investigated. The differential equations considering imperfections are deduced following the variation principle of energy, and the relation between external load and axial forces, the expression of radial displacement are determined, with the perturbation method the imperfection sensibilities of buckling loads are analyzed. It is demonstrated that the analytical results closely approach to the accurate results, the symmetrical buckling loads are very sensitive to symmetrical imperfection parameters, and the anti-symmetrical imperfection parameters play important roles in the anti-symmetrical buckling loads while the effects on symmetrical imperfection parameters can be neglected.