Prediction of Frequency Response Function of Shaft Workpiece Based on Response Coupling Substructure Method
In the chip cutting process of shaft workpiece,it is easy to produce chatter,which affects the machining stability.Fast calculation of workpiece frequency response function can provide a basis for preventing chatter.Due to the frequent replacement of turning workpieces,an improved substructure division method is proposed to solve the problem that hammering method is often used to measure the frequency response function of workpieces in the past.In this method,the spindle-chuck-workpiece system is divided into spindle-chuck-clamping part and workpiece suspension part.Based on substructure response coupling method(RCSA)and finite difference method,Timoshenko beam model is used to calculate the frequency response function of any section of shaft workpiece.The influence of tailstock on workpiece is explored by this method.This partition method avoids the parameter identification of the joint surface,and can quickly and conveniently predict the frequency response function of any section of the workpiece.Compared with the simulated frequency response function,the prediction error is less than 5.38%,which verifies the ef-fectiveness of the prediction model.
Response Coupling Substructure MethodWorkpiece Frequency Response FunctionTimoshenko Beam Model