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非圆同步带轮传动的类多边形效应计算与分析
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国家自然科学基金项目(51675486);浙江省重点研发项目(2018C02046)


Calculation and analysis of polygon-like effect of non-circular synchronous belt transmission
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    摘要:

    非圆同步带轮传动能够实现大中心距的非匀速直接传动,但是同步带绕到非圆同步带轮后是一个由曲线和直线交替连接而成的封闭图形,这封闭图形与非圆同步带光滑的节曲线存在差异,传动过程中同步带和同步带轮就不是实时相切的关系,这影响传动的精确性,称之为“类多边形效应”。建立了非圆同步带传动“类多边形效应”的计算模型,并通过计算实例对比分析了不同初始位置、不同齿数和不同非匀速变化系数等因素对非圆带轮传动比规律的影响,发现非匀速变化系数、齿数和初始位置是影响类多边形效应的三大重要因素,且齿数越多、非匀速变化系数越小实际传动比曲线波动幅度越小,主从轮同相状态时的实际传动比曲线波动幅度明显小于主从轮异相状态时的幅度;为非圆同步带轮齿数的设计加工和安装时初始位置的确定提供重要参考。

    Abstract:

    Non-circular synchronous belt could be used in the non-uniform speed transmission with large center distance. The closed figure extracted from the synchronous belt wound around the non-circular synchronous belt pulley is composed of curves and straight lines alternately connected. Due to the differences between the closed figure and the pitch curves of the non-circular synchronous belt, the synchronous belt is not always tangent with synchronous belt pulley during the transmission, which will influence the accuracy of the transmission. Consider that, a mathematical model was proposed to calculate this phenomenon above which is called “polygon-like effect” in this paper. By calculating and analyzing some samples on the basis of this model, three key factors that influence the nonuniform transmission ratio of non-circular belt pulley in the transmission were concluded, which include the initial position, tooth number and nonuniform transmission parameter. The more teeth of the noncircular belt pulley have and the smaller the non-uniform transmission parameter is, the smoother the real transmission ratio curve is. And the real transmission ratio curve of master-slave wheel in phase is smoother than the curve of masterslave wheel out of phase. This study could provide the important reference for the tooth number design and manufacture of non-circular synchronous pulley as well as calculating the initial position.

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卞贤炳,陈之威,孙新城,陈建能,肖达度,陈加友.非圆同步带轮传动的类多边形效应计算与分析[J].机床与液压,2020,48(12):10-16.
. Calculation and analysis of polygon-like effect of non-circular synchronous belt transmission[J]. Machine Tool & Hydraulics,2020,48(12):10-16

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  • 在线发布日期: 2020-08-21
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