等宽凸轮驱动机构的运动学分析

Mert Eren AYĞAHOĞLU, Ziya ŞAKA
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摘要

定义了几种可作为闭合凸轮机构的定宽凸轮轮廓线的定宽曲线。这项研究有两个目的。其中之一是研究不同类型的等宽凸轮机构的运动学分析。另一个目标是获得恒定宽度凸轮驱动连杆的停留时间,这对于标准凸轮机构来说是不可能的。利用运动学反演的原理,对带平移平面从动件的定宽凸轮机构进行了一般运动学分析。在此基础上,对等宽凸轮驱动的倒滑块曲柄机构和四杆机构进行了详细的运动学分析,并给出了所有等宽凸轮轮廓线和凸轮驱动机构的一般方法。结果表明,所设计的凸轮驱动四杆机构和倒滑块曲柄机构的停留时间分别为45°(固定关节坐标为x_n = 18 mm和y_n= 8.5 mm)和40°(固定关节坐标为x_n = 18.5 mm和y_n= 8.5 mm)。在位移分析的基础上,通过对位移求导,给出了一些速度和加速度分析的实例。对于具有更多连杆的凸轮驱动机构,也可以进行类似的运动学分析。此外,还发现改变凸轮轮廓线固定关节的位置会影响机构的位移、速度和加速度图形。有了这个,停留时间也可以改变。
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KINEMATIC ANALYSIS OF CONSTANT BREADTH CAM DRIVEN LINKAGES
Several constant breadth curves are defined that can be used as cam profiles in constant breadth cam mechanisms that are closed cam mechanisms. There are two objectives for this study. One of them is to study the kinematic analysis of different type of constant breadth cam mechanisms. The other objective is to obtain a dwell period for constant breadth cam driven linkages that is impossible for a standard cam mechanism. A general kinematic analysis of a constant breadth cam mechanism with translating flat-faced follower was carried out with the principle of kinematic inversion. With the results, the kinematic analyses of the constant breadth cam driven inverted slider crank mechanism and four bar mechanism were examined in detail and a general method is given for all constant breadth cam profiles and cam driven linkages. It has been seen that a dwell period of 45° (with the fixed joint coordinates as x_n = 18 mm and y_n= 8.5 mm) and 40° (with the fixed joint coordinates as x_n = 18.5 mm and y_n= 8.5 mm) can be obtained in designed cam driven four bar and inverted slider crank mechanism respectively. After the displacement analysis, some velocity and acceleration analysis examples are given by taking the derivative of displacement. Similar kinematic analyses are possible for cam-driven mechanisms with more links. Also, it has been seen that changing the location of fixed joint of the cam profile can affect the displacement, velocity and acceleration graphics of the mechanism. With this, the dwell period can be changed too.
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