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1 问题的提出曲柄摇杆机构的最小传动角γ_(min)是对机构进行动力分析和设计时必须考虑的一个重要性能指标,它的数值可用判别最小传动角的三个命题来确定。但是,这要取决于机构的两固定铰链中心A、D与摇杆的活动铰链中心C的两极限位置连线(?)的相对位置关系(如图1所示),而这一位置关系通常是靠作图来判断的,既费时又麻烦。本文拟通过曲柄摇杆机构中各杆的长度关系导出A、D与(?)相对位置的解析判别定理,并用解析法对判别最小传动角的三个命题加以证明。
1 PROBLEM PROBLEM The minimum transmission angle γ_ (min) of the crank-rocker mechanism is an important performance index that must be considered in the dynamic analysis and design of the mechanism. Its value can be determined by the three propositions of determining the minimum transmission angle. However, this depends on the relative positional relationship (?) Between the two fixed hinge centers A and D of the mechanism and the movable hinge center C of the rocker (as shown in Fig. 1), and this positional relationship is usually It is time-consuming and troublesome to judge by drawing. In this paper, we derive the analytic discriminant theorem of the relative positions of A, D and (?) Through the relationship between the lengths of the rods in the crank-rocker mechanism and prove the three propositions of determining the minimum transmission angle by analytic method.