【摘要】 针对锥形三通管展开过程较复杂、现有的技术还无法实现其展开图的自动绘制的情况,运用形数结合的思想,提出了通用的两斜交圆锥精确展开的解析放样算法。首先通过该算法建立了轴线斜交的两圆锥表面的数学模型,推导出相贯线方程,并利用SolidWorks二次开发技术建立了相贯线空间模型,由此对相贯线方程正确性进行了验证;其次应用展开原理建立了空间曲线的展平曲线方程,最后使用VB编程在SolidWorks实现了斜交锥形三通管参数化展开图的自动绘制。实例运行结果及有关数据表明该算法运算速度快,精度高,通用性强,可用于多种钣金类零件的展开图绘制,方便了钣金类零件的制造。更多还原

【Abstract】 Because the unfolded process of three-way conical pipe is complex,the development drawing cannot be completed automatically.This paper introduced a general analytic algorithm about the development of curve oblique based on the thought of symbolic-graphic combination.The equation of two conical intersection line was established by exploring the mathematical model of the skew intersection to the axis of the cone.The intersecting lines in the SolidWorks interface were created by means of VB progamming and were verified through SolidWorks.After setting up flattening curve equation,the development drawing was carried out in the SolidWorks.Thus,the expansion plan of two cones with arbitrary size and skew axises was designed by parametric means on the SolidWorks interface.The unfolding method is reliable and it makes automatic development drawing practical.The results and relevant data also reveal that the algorithm is of fast speed,high precision and strong universality,which can be used for the expansion mapping of a variety of sheet metal parts to facilitate the manufacture of sheet metal parts.更多还原