A laser finishing technique has been developed which allows tangential
impingement of a high-power laser beam on the apex of a rotating cyli
ndrical workpiece. Previous studies have shown that sub-micron R-a sur
face roughness can be achieved on polymethyl-methacrylate and Si3N4 wi
th a material removal rate up to 5 mm(3) s(-1). This technique can als
o be used for the shaping of non-circular and discontinuous profiles a
t high machining speeds. This paper presents steady-state and dynamic
models for the beam-material interaction that can be used to estimate
the surface texture and dimensional accuracy of laser-shaped parts. Th
e steady-state analysis relies on conformal mapping to transform the c
ircular workpiece profile into a semi-infinite domain for an energy ba
lance solution. The dynamic model incorporates disturbances due to var
iations in laser power, beam mode, rotational agreement with R-a measu
rements for variation in rotational speed, feed and beam power compare
d with previous beam kinematics models and static finishing. Compariso
n of estimated overlap profiles with profilometry measurements showed
good correlation in the periodicity of surface roughness. Sensitivity
analysis showed that feed has the greatest influence on R-a in the ope
rating range of fine finishing, whilst rotation speed and feed have th
e greatest influence on the material removal rate. Simulation results
of octagonal profiles showed decreasing straightness error with increa
sing laser energy density of the laser beam. The dynamic simulation mo
del showed improved agreement with straightness error and sharp corner
features of the profiles compared to the static simulation model. (C)
1997 Published by Elsevier Science S.A.