Modeling of Limiting Load for Linear Motion Ball Guides

The limiting load represents a pivotal design constraint for Linear Motion Ball Guides (LMBGs). Despite its significance, there is a paucity of analytical models capable of accurately predicting this limit. This paper presents a novel analytical approach to calculate the limiting load of LMBGs. The mathematical model is established by coupling displacement compatibility, contact mechanics, and limiting load criteria. A numerical iterative solver is employed to obtain the solution. Validated by a case study on an industrial-grade LMBG, the proposed method proves to be both comprehensive and practical for the design and analysis of linear guides.