Abstract

In this article, a new model of regenerative vibrations due to the deflection of the cutting tool in turning is proposed. The previous study reported chatter as a result of cutting a wavy surface of the previous cut. The proposed model takes into account cutting forces as the main factor of tool deflection. A cantilever beam model is used to establish a numerical model of the tool deflection. Three-dimensional finite element method is used to estimate the tool permissible deflection under the action of the cutting load. To analyze the system dynamic behavior, 1-degree-of-freedom model is used. MATLAB is used to compute the system time series from the initial value using fourth-order Runge–Kutta numerical integration. A straight hard turning with minimal fluid application experiment is used to obtain cutting forces under stable and chatter conditions. A single-point cutting tool made from high-speed steel is used for cutting. Experiment results showed that for the cutting parameters above 0.1mm/rev feed and [Formula: see text]mm depth of cut, the system develops fluctuations and higher chatter vibration frequency. Dynamic model vibration results showed that the cutting tool deflection induces chatter vibrations which transit from periodic, quasi-periodic, and chaotic type.

Highlights

  • Turning operation is one of the most effective machining processes for the manufacturing of metal and nonmetal components used in different industries

  • We observed that cutting tool deflection results in the complex dynamic behavior of the system because of nonlinear interaction between the tool and workpiece which leads to chatter vibrations

  • The permissible magnitude of the tool deflection under the action of the cutting load has been obtained by finite element analysis

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Summary

Introduction

Turning operation is one of the most effective machining processes for the manufacturing of metal and nonmetal components used in different industries. A cutting tool is fed into a rotating workpiece to generate an external or internal surface concentric with the axis of rotation. Turning is carried out using a lathe machine, one of the most versatile conventional machine tools. The cutting tool is held in on a translating carriage or turret or in the tailstock. The carriage or turret travels along the bedways parallel to the part axis (Z-axis) being machined. The motion perpendicular to the part axis is provided by the X-axis or a cross slide mounted on the carriage. The workpiece is mounted on a rotating spindle using a chuck, collet, faceplate, or a mandrel, or between pointed conical centers

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