Dynamic Characteristics of Spindle-Bearing System in Machine Tools : 2nd Report, Mathematical Expression of Spindle-Bearing System and its Application

Abstract

In this paper, a mathematical model of a lathe spindle supported by rolling bearings is newly proposed; the main spindle is expressed by the Timoshenko beam and the rolling bearings are represented by springs and dashpots in radial and momental directions. Comparing with the experimental results, the mathematical model proposed here is found superior to the conventional model. The dynamic characteristics of the spindle-bearing system are simulated by the proposed model. From the calculated results, it is clear that the damping property of the system is dependent on the radial stiffness. Moreover, the damping property of the system is affected by both front and rear bearings.