Vertical Stiffnesses of Preloaded Linear Guideway Type Ball Bearings Incorporating the Flexibility of the Carriage and Rail
Vertical Stiffnesses of Preloaded Linear Guideway Type Ball Bearings Incorporating the Flexibility of the Carriage and Rail
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DOI：
10.1115/1.4000277
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发表时间：
2010
影响因子：
2.5
通讯作者：
H. Ohta;K. Tanaka
中科院分区：
文献类型：
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作者：
H. Ohta;K. Tanaka
本文讨论了预加载线性导轨型球轴承（线性轴承）的垂直刚度，并结合了滑架和导轨的柔性。首先测量了轻、中预紧直线轴承的垂直刚度，以及滑架在宽度方向上的向外变形。与传统的刚性模型（假设滑架和轨道是刚性的，除了与滚珠的接触点）计算的刚度相比，测量的刚度大约小40%。在垂直载荷下的预加载直线轴承中，滑架的侧面向外变形。变形在顶部最小，向底部增加，并且在较大的预载荷或较小的垂直载荷下有更大的趋势。用传统的刚性模型不能解释测得的刚度和滑架向外变形。为了克服传统刚性模型的这些问题，本文提出了一种柔性模型（考虑了车厢和轨道的柔性）。通过有限元（FE）分析估计柔性模型的变形。还考虑了球与滑架或导轨之间的赫兹接触。相对误差为9- 21%，使用柔性模型计算的刚度更接近于测量的刚度。此外，计算出的向外滑架变形与测量变形匹配良好。显然，与传统的刚性模型相比，柔性模型的计算结果与测量结果之间存在更好的匹配。
This article deals with the vertical stiffnesses of preloaded linear guideway type ball bearings (linear bearings) incorporating the flexibility of the carriage and rail. First the vertical stiffnesses of light and medium preloaded linear bearings were measured, as well as the outward carriage deformations in the width direction. Compared with the stiffnesses calculated by the conventional rigid model (assuming the carriage and rail are rigid, except for the contact points with the balls), the measured stiffnesses were about 40% less. In preloaded linear bearings under a vertical load, the side faces of the carriage deformed outward. The deformations were minimal at the top, increased toward the bottom, and had a tendency to be greater under either a larger preload or a smaller vertical load. The measured stiffnesses and outward carriage deformations cannot be explained using the conventional rigid model. To overcome these problems with the conventional rigid model, a flexible model (taking into account the flexibility of the carriage and rail) is presented in this article. The flexible model deformations were estimated through finite element (FE) analysis. The Hertzian contacts between the balls and the carriage or rail also were considered. With relative errors of 9-21%, the calculated stiffnesses using the flexible model more closely matched the measured stiffnesses. Also, the calculated outward carriage deformations matched the measured deformations well. Clearly, there is a better match between the calculated results of the flexible model and the measurements than with the conventional rigid model.