对称变曲率拱在均布径压作用下的非线性稳定性

 提出一种分析对称变曲率拱在均布径向载荷作用下的非线性稳定性的理论方法。给出对称变形下挠度、内力、内力矩及反对称屈曲特征条件的解析表达式,获得拱受载时挠曲、屈曲和过屈曲的全过程行为。算例表明,本文提出的方法精度好并便于工程应用。

NON-LINEAR STABILITY OF AN ARCH WITH SYMMETRICLLY VARIALE CURVATURE UNDER UNIFORM LATERAL LOAD

A non-linear theory is presented for stability of an arch with central curvc of symmetrically variable curvature under uniform lateral load.By use of the variational principle of total potential energy,governing equations are obtained respectively for symmetrical and antisymmctrical deformations of the arch.Analytical solutions are given for deflection and inner forces and moments of the arch under symmetrical defonnation. Critical eigen conditions are also obtained analytically for the arch under antisymmetrical deformation. The total behavior of the areh under loading is,therefore,revealed,including deflection,bucklinng and postbuckl-ing.The example calculations made for a real structure show that the current analysis has rather good accuracy and convenience for engineering purposes.