Title: Theoretical models for surface roughness in turning considering inclination and rake angles

Authors: Aun Naa Sung; Mani Maran Ratnam; Wei Ping Loh

Addresses: Department of Mechanical Engineering, University Curtin Malaysia, CDT 250, 98009 Miri, Malaysia ' Department of Mechanical Engineering, School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia, Seri Ampangan, 14300 Nibong Tebal, Penang, Malaysia ' Department of Mechanical Engineering, School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia, Seri Ampangan, 14300 Nibong Tebal, Penang, Malaysia

Abstract: New analytical four-parameter models for surface roughness are proposed based on the feed rate, nose radius as well as the inclination and rake angles. These models were derived to determine the maximum peak-to-valley roughness R_t and arithmetic average roughness R_a using homogeneous transformation matrices and are verified by digital simulation. The model for R_t was used to study two sequential effects of introducing the inclination and rake angles. The R_t and R_a values obtained from the four-parameter models and the existing two-parameter models, based on nose radius and feed rate, were compared. The comparison shows maximum percentage differences of 8.18% and 10.98% in R_t and R_a, respectively. The results demonstrate that the inclination and rake angles can influence the surface roughness by affecting the tool-workpiece contact geometry. The proposed four-parameter model can be employed for a more accurate theoretical surface roughness evaluation compared to the existing two-parameter models.

Keywords: roughness; turning; inclination angle; rake angle; geometric transformations.

DOI: 10.1504/IJSURFSE.2018.094772

International Journal of Surface Science and Engineering, 2018 Vol.12 No.3, pp.171 - 193

Received: 03 Oct 2017
Accepted: 23 Dec 2017
Published online: 15 Sep 2018 *

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