Study on Machine Tool Slideway : Analysis of Sliding Motion by Simulation

概要

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A kinetic equation of machine tool slideway motion is obtained considering slideway conditions, and the coefficients of the equation are expressed as a state function which is related to driving velocity and film thickness in a steady state. The transient response of the state function in such a nonsteady state as stick-slip motion can be approximated by the time lag of first order.The analysis of the kinetic equation by local linearization supports the following experimental phenomena. Namely, stable sliding occurs even in the negative slope range of characteristic curve of friction, and the larger the rigidity or oil viscosity, the wider the stable range is. Since there are many factors which influence the coefficients of the equation, it is difficult to solve the equation analytically. The simulation on an analogue computer, therefore, has been attempted. The results thereof show that the obtained equation represents the actual behavior of sliding motion well.