拱脚转动对圆拱稳定性的影响研究

Effects of Angular Displacement of Skewback on Stability Performance of Circular Arch

根据能量法,建立基于拱脚转动的平衡方程和平衡稳定性方程,分析了拱脚转动对两端固支圆拱屈曲性能的影响。研究表明:拱脚转动将导致拱的极限屈曲荷载减小,越是深拱,其影响越明显;拱的长细比越小,拱脚转动对极限屈曲荷载的影响越明显;拱脚转动将改变拱屈曲方式的拱型几何参数分界值,反对称的平衡分岔屈曲的范围将随着拱脚转动的增加而扩大。

According to the energy criterion of structure stability,the balance equation and the equilibrium stability equation were obtained. Next,the effects of angular displacement of skewback on buckling performance of circular arch were worked out by means of the simultaneous solution of balance equation and equilibrium stability equation. The following conclusions can be drawn from the above research： the angular displacement of skewback will lead to the decrease of buckling load of deep arch; the effects of angular displacement of skewback on buckling load are changed by opening angle of arch; the effects of angular displacement of skewback on buckling load are more evident with the decrease of slenderness ratio of arch;the dividing values of geometric parameter of arch are enlarged with the increase of angular displacement of skewback.