Tool Point Analysis for Bending, Torsional and Axial Receptances of tool-holder-spindle Assembly

A generalized method for the analysis of the tool point receptances related to all axes (X, Y and Z) is presented in this paper. In order to facilitate modeling, the tool-holder-spindle assembly is divided into four substructures, i.e., spindle-holder subassembly, shank of tool, fluted part of tool and tool-holder joint interface. The fluted part of tool is modeled using three-dimensional Timoshenko theory. The tool-holder joint interface is regarded as a zero-thickness distributed layer. A set of independent spring-damper elements is employed to simulate the dynamic properties of the joint interface. The dynamic responses of all substructures is assembled to calculate the tool point receptances. Finally the proposed method is experimentally verified.