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基于小挠度理论,推导了两类内侧交错布索-索拱结构(等长均布式和两端辐射式)在径向均布荷载作用下面内弹性挠曲的总势能方程。基于能量变分原理,采用Ritz法求解两类索拱面内弹性屈曲临界荷载及屈曲形态,讨论了结构参数对弹性屈曲临界荷载的影响。结果表明:该文方法具有较高的精度和效率。拱的轴向伸缩和剪切变形对临界荷载的影响很小,可忽略不计。第一类索拱面内的屈曲形式为反对称,而第二类索拱,多数情况为反对称,少数为正对称。内侧交错布索对提高拱结构的整体稳定性效果显著。两类索拱的临界荷载随索截面积的增加而增加,随拱长细比的增加而减小,随拱矢跨比的增加而先增加后减小。初始张拉力对临界荷载的影响较小。
Based on the theory of small deflection, the total potential energy equations for the inner elastic deflection under two kinds of radially distributed loads are derived for the two types of staggered-section cable-arch structures (equidistant and radial). Based on the principle of energy variation, the critical loads and buckling morphologies of the two types of cables were calculated by Ritz method. The influence of structural parameters on the critical load of elastic buckling was also discussed. The results show that this method has high accuracy and efficiency. Arch axial expansion and shear deformation of the critical load of small, negligible. The buckling pattern in the first type of cable face is anti-symmetry, while in the second type, the majority is anti-symmetry and the minority is positive symmetry. The inner staggered cloth to improve the overall stability of the arch structure effect is remarkable. The critical loads of the two types of cables increase with the increase of the cross-sectional area of the cable, decrease with the increase of the ratio of the slenderness of the arch, and increase first and then decrease with the increase of the arch-to-span ratio. The effect of initial tension on the critical load is small.