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Friction directly influences thermal deformation and transmission efficiency in a linear motion ball guide (LMBG). In existing friction force models for LMBGs, the friction parameter is usually empirically adopted as a constant, which leads to large error in model outputs when the friction parameter is sensitive to operating conditions, such as a light load or high velocity. In this study, a new model was built to calculate the contact load in LMBGs by considering elastic deformation of the carriage skirt, based on which we proposed a friction force model that considers variation of the friction parameter with operating condition. The friction force predicted by this model is in good agreement with experimental results, especially under operating conditions of light load and high velocity. To estimate the total friction force more conveniently and efficiently in practice, an equivalent friction coefficient for the tested LMBG, which combines sliding, viscous, and elastic hysteresis frictions, is proposed, and the modeled difference from the theoretical value falls within 10%.

Modeling of Friction Forces for Linear Motion Ball Guides Considering Variation of the Friction Parameter with Operating Condition