%0 Journal Article
%T Stability analysis for a single
%A Amon Gasagara
%A Angelique Uwimbabazi
%A Wuyin Jin
%J Advances in Mechanical Engineering
%@ 1687-8140
%D 2019
%R 10.1177/1687814019853188
%X 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¨CKutta 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 1 . 5 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
%K Turning operation
%K chaotic response
%K chatter vibration
%K cutting tool deflection
%K cutting forces
%K cutting parameters
%U https://journals.sagepub.com/doi/full/10.1177/1687814019853188