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采用有限元方法分析几何参数对树状结构节点承载力的影响,得到节点尺寸参数的最佳取值范围,并拟合出树状结构节点的承载力公式。通过逆吊递推找形设计方法设计整体树状结构,计算分析屋面梁悬挑长度和树状柱间屋面梁跨度的相对大小对其内力分布的影响,得到两者最佳比值范围。同时验算树状结构节点的受力情况,拟定设计公式中安全系数的最佳取值。根据拟定的安全系数值设计整体结构并验算其力学性能及对应节点的受力情况。计算结果表明:若树状柱两侧局部刚度一致,除最上一级分枝外,按逆吊递推找形法得到的结构对应的安全系数应取4;需增加悬挑长度的结构,安全系数应取5;最上一级分枝的安全系数应较其余分枝大1。根据节点承载力公式设计得到的树状结构,具有较大的刚度,可用于实际工程。
The finite element method is used to analyze the influence of geometric parameters on the bearing capacity of the tree structure node. The optimal range of the node size parameters is obtained and the bearing capacity formula of the tree structure node is fitted. The whole dendritic structure was designed by reversing the recuperation form design method. The influence of the relative size of the cantilever length of the roof beam and the span of the decks between the decks on the internal force distribution was analyzed and the optimal ratio range was obtained. At the same time checking the stress of the tree structure node, formulate the best value of the safety factor in the design formula. According to the value of the proposed safety factor to design the overall structure and check its mechanical properties and the corresponding node force situation. The results show that if the local stiffness of the two sides of the tree-shaped column is the same, the safety coefficient corresponding to the structure obtained by the inverse crane recuperation method should be 4; The coefficient should be taken as 5; the safety factor of the uppermost branch should be 1 larger than the remaining branches. The tree structure designed according to the bearing capacity formula of the node has greater rigidity and can be used in practical engineering.