中文摘要：

为了同时分析焊接球节点的局部受力和网壳的整体受力，根据多尺度有限元法的思想，将焊接球节点以及它所连接的杆件长为S的-小段作为微观尺度模型采用实体单元离散，结构的其余部分作为宏观尺度模型采用梁单元离散。根据经典欧拉梁理论的平截面假定推导了两种尺度模型界面上的位移增量约束方程，并给出了基于Updated Lagrangian法的位移增量约束方程引入方法。给出了S的估计值并采用Zienkiewicz-Zhu后验误差估计理论来确定它是否合理。以考虑节点屈服的单层球面网壳弹塑性静力稳定性分析为例说明了该方法的有效性和可行性。

英文摘要：

In order to analyze welded hollow spherical joints and a whole reticulated dome in a same finiteelement model, based on the multi-scale simulation, the joint and a short part of each member connecting to it are divided by the solid elements as a micro-model, and the other part of a struc~tre is simulated by beam elements as a macro-model. The length of the short part of beam is assumed as S. The incremental displacement constraint equations for the nodes on the section between the two models are derived by the basis of the plane section assumption of classical Euler＇s beam theory. A method to introduce the constraint equations is deduced on the basis of an Updated Lagrangian Description method. The estimated value of S is given and the Zienkiewicz-Zhu error post-processing technique is used to confirm its validity. The elasto-plastic static stability analysis of a single-layer reticulated collapsing dome was carried out to show the feasibility and the validity of this method, considering the collapsing of joints.