文档介绍：1755
Computer aided stress and deflection analysis of
Fellow’s gear-shaping cutter, for different cutting
process parameters
P P Datta1*, R N Banerjee2 and T K Chattopadhyay2
1School of Management, Cranfield University, Cranfield, UK
2Mechanical Engineering Department, Jadavpur University, Calcutta, India
Abstract: Achieving maximum efficiency (in terms of quantity of products produced in a stipulated
time) with improved accuracy and surface finish through a chatter-free high-speed cutting process
are problems of the modern gear cutting industry. Modern techniques employ a generating type of
cutter such as Fellow’s gear-shaping cutter for the production of high-speed noiseless and accurate
gears. The literature review indicates that experimental and theoretical methods had been
predominantly in use in the design of gear cutting tools pared to puter aided
methods. In this research the gear-shaping cutter is modelled using three-dimensional ten-node
tetrahedral finite elements. The research is carried out at the instant when the gear-shaping cutter
plunges on the workpiece and the cutting forces during the generation process e maximum.
The maximum three-dimensional displacements and stress values are generated under different
cutting conditions. The effects of different cutting process parameters (speed, feed and depth of cut)
on the maximum stress and deflection are studied in detail.
Keywords: gear-shaping cutter, vibration, stress analysis
NOTATION Py, max maximum radial cutting force in the gear-
shaping cutter
½B matrix relating strains and displacements fRg load vector
int
c damping matrix for an element fR g internal load vector
½ ext
½C damping matrix for the structure fR g external load vector
½D elasticity matrix Se elemental surface
feg displacement vector Skp rotary feed of the cutter (mm)/double
fFg body forces stroke
S , S normal stresses in the gear-shaping cutter in
hgp depth of cut (mm) y z
½K stiffness matrix