(Dr. Steven Liang, advisor)
"Force Modeling in Reciprocate Grinding Based on the Wheel Topography Analysis"
Abstract
The magnitude of the forces in grinding relies on the process parameters (cutting
velocities, depth of cut), but also on the topography of the wheel and the overall
shape of the cutting edges. This understanding is important to the modeling
and optimization of the grinding process.
The use of the Zygo microscope can provide an accurate three dimensional analysis
of the grains, in order to characterize the topography of the wheel. Because
of the reflectivity requirements in the acquisition of data with the ZYGO microscope,
the topography is acquired measuring imprints of the wheel obtained with polished
samples made of lead. The images are processed with a Matlab program to analyze
the geometrical characteristics of the static grains. Characteristics such as
the average grain size, the attack angle and the density as a function of the
radial depth of penetration are obtained by modeling the grains into a conical
shape. The random distribution of the grains is considered based on a statistical
continuousdistribution.
The magnitudes of the total forces are derived from the modeling of the force
per active grain, using the parameters from the topography and relying upon
the expressions of the equivalent chip thickness and the volumetric wear rate.
The model is calibrated the model with experimental data in surface grinding.
The model validates experimental results obtained through machining carbon steel
AISI 52100 (60 HRC) using a Norton medium size grit vitrified grinding wheel
(5SG46IVS).
The knowledge of the forces level is relevant when estimating power consumption
and surface integrity characteristics such as surface burning. It allows defining
an acceptable range for the process parameters in function of the material properties
and the wheel’s characteristics.