# Experimental–Analytical Method for Determining the Dynamic Coefficients of Turning Tools

## TL;DR

This paper introduces a method to determine the dynamic properties of cutting tools, helping design tools that reduce vibrations during machining.

## Contribution

A novel experimental-analytical method is proposed to determine stiffness and damping coefficients of turning tools.

## Key findings

- The method aligns empirical acceleration data with a mathematical model to determine dynamic coefficients.
- The E-A20Q SDUCL 11 tool showed optimal stability and vibration control due to its dynamic properties.
- The method is applicable to various cutting tools, including those with steel, carbide-core, and carbon fibre-core shanks.

## Abstract

The article presents an analytical and experimental method for determining the dynamic coefficients of cutting tools, with particular emphasis on turning tools. The method involves aligning the acceleration profile obtained from empirical investigations with a mathematical model describing the oscillations of the cutting tool tip. The stiffness (k) and damping (c) coefficients determined using this approach enable the design of tools with desired dynamic characteristics, tailored to specific machining processes, such as machining with long overhangs. From the perspective of mechanical dynamics, selecting appropriate stiffness and damping values allows for the design of tools with optimal dynamic properties. High stiffness reduces the occurrence of deformations under external forces, while adequate damping facilitates the rapid attenuation of vibrations, thereby minimising their adverse effects on the machining process. The developed method could serve as a practical tool for identifying the dynamic parameters applicable to a wide variety of cutting tools. The analysis includes three types of turning tools: one with a steel shank, another with a carbide-core steel shank, and a third with a carbon fibre-core steel shank. The results of the tests indicate that the E-A20Q SDUCL 11 tool is best suited for operations requiring high stability and minimal vibration, owing to its favourable damping and stiffness properties.