Title: Modelling of nonlinear dynamic stability in cylindrical grinding process

Authors: Amon Gasagara; Wuyin Jin; Angelique Uwimbabazi

Addresses: School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Gansu, Lanzhou, 730050, China ' School of Mechanical and Electronic Engineering, Key Laboratory of Digital Manufacturing Technology and Application, Ministry of Education, Lanzhou University of Technology, Gansu, Lanzhou, 730050, China ' School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Gansu, Lanzhou, 730050, China

Abstract: Cylindrical grinding process is a complex phenomenon with several vibration excitation parameters that lead to the grinding wheel oscillation and workpiece deflection. In this work, a new model of the cylindrical grinding process vibrations is developed to analyse a particular type of dynamic instability induced by the in-feed rate. The grinding wheel is modelled as a constant speed moving oscillator excited by the grinding forces to provide a time-varying excitation load to induce the workpiece deflection. The workpiece is regarded as a simply supported non-uniform Euler-Bernoulli beam. The numerical analysis is used to obtain the governing equations of the process dynamics. MATLAB is used to obtain the dynamic response of the process. The experiment is used to validate the model simulation results. The results of the tested grinding mode show that the dynamic stability of the process is improved at the in-feed rate of 0.01 mm/s while reducing the grinding time.

Keywords: cylindrical grinding process; in-feed rate; time history and frequency response; moving oscillator; chatter vibrations; effects of the damping ratio; selection of the grinding parameters; achieving high quality surface finish; nonlinear dynamic behaviour; grinding wheel-workpiece interaction mechanism; material removal rate; components of cutting forces; mechanical vibrations analysis; Dirac delta function; Green's function; Duhamel's integral.

DOI: 10.1504/IJMIC.2020.117495

International Journal of Modelling, Identification and Control, 2020 Vol.36 No.4, pp.329 - 341

Received: 24 Feb 2020
Accepted: 11 Nov 2020

Published online: 09 Sep 2021 *

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