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钢拱常支承于其他结构上,拱脚受到弹性约束并出现水平位移,弹性约束会显著影响拱的力学行为。该文得到了水平弹性支承拱在沿弦长均匀分布的面内竖向荷载作用下的内力及位移的解析解,构造了一个无量纲化柔度系数。利用这个参数,对线性解进行分析,提出了计算跨中轴力和拱脚支座位移的理论公式。根据跨中轴力大小,提出了在线性计算范围内划分拱与拱形梁的标准。分析了支座弹簧刚度对扁度不同的拱的内力分布的影响。利用有限元程序,分析了拱的分支屈曲模态、临界荷载及跨中临界轴力与支座刚度的关系,得到了拱由反对称屈曲转变为对称屈曲时柔度系数的界限值,提出了临界荷载和临界轴力与弹性柔度系数的关系式。
Steel arch is often supported on other structures, the arch foot is subject to elastic constraints and horizontal displacement, elastic constraints will significantly affect the arch mechanical behavior. In this paper, an analytical solution of the internal forces and displacements of horizontal elastic support arch under the in-plane vertical load with uniform chord length is obtained, and a dimensionless compliance factor is constructed. Using this parameter, the linear solution is analyzed, and a theoretical formula for calculating the displacement of mid-span axial force and arch foot is proposed. According to the magnitude of cross-axis force, the criteria for dividing arch and arched beam in linear calculation are proposed. The influence of bearing spring stiffness on the internal force distribution of arch with different flatness is analyzed. By using the finite element program, the relationship between the buckling mode, the critical load, the midspan critical axial force and the support stiffness of the arch was analyzed, and the limit value of the flexibility coefficient when the arch changed from antisymmetric buckling to symmetrical buckling was obtained. The relationship between critical load, critical axial force and elastic compliance coefficient.