基于等刚度的滚动直线导轨副过渡曲线设计

Transition curve design of straight rolling slide-way pair based on equal rigidity

滚动直线导轨副作为高精度导向进给机构,其振动的控制一直是研究的重点。通常采用增加滚动直线导轨副预载荷的方法,来改善滚动直线导轨副的减振性能,提高其刚度。然而实践表明,这种方法不但会降低整个导轨副的工作寿命,且减振效果并不佳。基于滚珠在循环过程中垂直刚度和倾斜刚度各自相等的假设情况下,提出了改善滚动直线导轨副减振性能的过渡曲线设计。利用降低滚珠进出承载区振动的基本条件,构建起设计滑块体两端部过渡曲线的数学解析模型,利用最小二乘法根据各控制点拟合出导轨副的过渡曲线。并通过试验验证了该设计方法减振效果的有效性。

The straight rolling slide-way pair being acted as＇ a high precision feeding mechanism, its control of vibration has always been a focal point of study. Usually, the method of increasing preloading on the straight rolling slide-way pair was adopted to improve vibration damping function of the straight rolling slide-way pair and to enhance its rigidity. Yet the practice showed that, this method will not only lower the working llfe span of the whole slide-way pair but also get unsatisfactory dumping effect. Based on the hypothesis under the condition of the vertical rigidity and inclined rigidity of balls are equal respectively in the courses of ball circulation, the transition curve design for improving the dumping functions of straight slideway pair was put forward. Utilizing the basic condition of low ering the vibration while the ball goes in and out the load bearing zone, the mathematic analytical model for designing the transition curve of the two ends of slider body was constructed. By the use of the least square method and in accordance with each controlling point to match out the transition curve of the slide-way pair. The effectiveness of dumping effect of this designing method was verified by means of experiment.