根据理想弹靼性应力-应变关系和Von—Mises屈服准则,考虑几何非线性影响,建立了焊接空心球节点的有限元分析模型,对在平面内三向轴力作用以及平面内三向轴力与弯矩共同作用下的焊接空心球节点的承载能力进行了非线性有限元分析.参数分析结果表明,在平面内三向轴力作用下,焊接空心球节点的承载力主要和钢管直径与球径的比值、球壁厚以及荷载比值有关;在平面内三向轴力与弯矩共同作用下,焊接空心球节点的承载力主要和钢管直径与球径的比值、偏心距、球壁厚以及荷载比值有关.根据有限元分析结果给出了焊接空-6球节点承载力的实用计算公式.当两侧钢管的直径不同时,计算采用较大钢管的直径;当钢管间的夹角为45°~75°时,计算公式仍可以近似采用.
Based on the elastic-perfectly plastic model and the Von Mises yield criterion, a finite element model for analysis of welded hollow spherical joints subject to planar tri directional loading of axial force or planar tri-directional combined loading of axial force and bending moment was established, in which the effect of geometric nonlinearity was also taken into account. Parametric study shows that the load carrying capacity of welded hollow spherical joints subject to planar tri-directional axial force mainly depends on the diameter ratio of steel tube and joint, the joint thickness and the load ratio; and that subject to planar tridirectional combined loading of axial force and bending moment mainly depends on the diameter ratio of steel tube and joint, the eccentric distance, the joint thickness and the load ratio. The practical calculation equations for joints' load-carrying capacity were proposed by summarizing the finite element analysis re sults. When the diameters of the tubes connected with the joint are different, the bigger diameter is adopted. The calculation equations are also applicable for the tube angles between 45° and 75°.