论文部分内容阅读
在平面四杆机构理论中利用极点圆绘制Ｂｕｒｍｅｓｔｅｒ曲线，可以使概念清晰，计算大为简化，Ｂｕｒｍｅｓｔｅｒ理论在空间四杆机构理论中的对应部分大部已被阐明，唯有与极点圆对应的几何图形还不清楚，因此与Ｂｕｒｍｅｓｔｅｒ曲线对应的曲面（螺旋锥）只能按等两面角条件用解析方法求得，因为等两面角条件的数学表达式十分繁杂，直接求解这一复杂的方程往往难于取得进展，本文提出了解决这一问题的策略，获得Ｂｕｒｍｅｓｔｅｒ理论在空间杆机构理论中的一一对应关系，从而使空间四杆机构的理论更为完整，概念更为清楚，计算也得以简化。
In the planar four-bar mechanism theory, the pole circle is used to draw Burmester curve, so the concept is clear and the calculation is greatly simplified. Most of the corresponding parts of Burmester theory in space four-bar mechanism theory have been clarified. Only the geometry corresponding to the pole circle Therefore, the curve (spiral cone) corresponding to the Burmester curve can only be solved analytically according to the condition of equilateral dihedral. Because the mathematical expression of the equilateral dihedral angle is very complicated, it is often difficult to directly solve this complex equation In this paper, we put forward a strategy to solve this problem and obtain the one-to-one correspondence between the theory of Burmester and the theory of space bar, so as to make the theory of space four bar mechanism more complete, the concept clearer and the calculation simplified.