A Review on Non-Linear and Mathematical Modelling for Stiffness Characteristics of Linear Motion Guide Ways

Abstract

Linear motion guide ways moves along a predetermined path. Linear Motion guide way features High Positioning, Repeatability, Low Frictional Resistance. Linear Motion guide ways finds wide applications in Aerospace, Automotive, Medical, Pharmaceutical, Machining Tools, Industrial Robots. The stiffness of a Linear Motion guide way is important for the static & dynamic behaviours of machine. The worldwide work focuses stiffness from load and deflection point which in turns help the designers and Machine tool manufacturers to build guide ways for suitable applications. Some studies reveals that the load (Vertical and Horizontal) and deflection in guide ways are having non-linear behaviour. Less work has been done till date considering the non-linear behaviour. Major studies have focussed on Vertical, while few have nominally considered horizontal loading. We wish to present a study considering effect of Vertical, Horizontal and Combined loading on Linear Motion guide ways. We also propose to develop a mathematical model to optimize the stiffness values for Linear Motion guide ways having different rolling elements. Studies done so far reveal clearly that this nature of study has not been undertaken till date and we expect that our work will benefit Research Scholars, Academic Institutes along with designers and Machine tool Manufacturers.