山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (6): 71-75.doi: 10.6040/j.issn.1672-3961.0.2015.111
王强, 徐雷, 彭少峰
WANG Qiang, XU Lei, PENG Shaofeng
摘要： 针对复杂管-环桁架节点相贯线参数方程求解困难的问题,提出一种基于Newton迭代法的求解方式。以圆管和环管的参数方程建立Newton迭代函数,利用相贯体之间的几何约束关系,选择合适的迭代初始值,逐次逼近,求解相贯线参数方程的解;推导了管-环相贯焊接装配面实际切割角计算公式;将Newton迭代法对骑坐式和插入式两种带钝边坡口的开孔方式进行推广。Newton迭代法编程简单、收敛速度快,适于复杂相贯体相贯线的求解。对比Newton迭代法和实体布尔运算所生成的相贯线,结果表明:Newton迭代求解法偏差极小,准确性和可靠性好。
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