DETERMINATION OF STRESSES IN A SPUR GEAR BY PHOTOELASTIC AND NUMERICAL METHODS
DETERMINATION OF STRESSES IN A SPUR GEAR BY PHOTOELASTIC AND NUMERICAL METHODS
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Date
1990-06
Authors
UGWU, Sylvester Ani
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Abstract
The new developments in mechanical engineering in
Nigeria (Low Cost Vehicle project, aviation projects -
AIR BEETLE, etc.), require in-house practical calculation
techniques in design generally and calculation of stresses
in machine components, particularly.
The machine components (Spur Gears) under operation
are subjected to stresses which differ at different locations.
These stresses are hereby determined with the use
of photoelastic and numerical methods and compared with
classical design formulae.
Gear Models made of photoelastic material (Columbia
Resin CR-39) were produced and loaded in a specially built
gear loading system. The stresses in the model were
analysed using the photoelastic principles giving the
stress difference (o - a ) at points. Next, numerical
method (Finite Difference Method) was employed which gave
(a1 + a2) values at the same points. The equations for
(a - a ) and (a + o ) were solved for the individual
stresses at the said points.
The stresses in the gear model were also determined
using Finite Element Method, FEM. Later, the model
stresses were applied to the steel prototype.
Finally, the results obtained using different methods
and classical design formulae (Lewis, Modified Lewis and
Sopwith Equations), were compared and inferences made.
Some likely sources of error in the work were pinpointed.
Description
A Thesis -Presented To The Postgraduate
School of Ahmadu Bello University, Zaria, In
Partial Fulfillment Of The Requirements For The
Award of Master of Science (M.Sc.) Degree
(Mechanical) In Production Engineering.
July,1990
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Keywords
DETERMINATION,, STRESSES,, PHOTOELASTIC,, NUMERICAL METHODS, GEAR