Analysis of Stresses in Helical Gears by Finite Element Method
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Date
2007-10
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Addis Ababa University
Abstract
Gears are one of the most critical components in mechanical power transmission systems. The
bending and surface strength of the gear tooth are considered to be one of the main contributors for
the failure of the gear in a gear set. Thus, analysis of stresses has become popular as an area of
research on gears to minimize or to reduce the failures and for optimal design of gears. This thesis
investigates the characteristics of an involute helical gear system mainly focused on bending and
contact stresses using analytical and finite element analysis.
To estimate the bending stress, three-dimensional solid models for different number of teeth are
generated by Pro/Engineer that is a powerful and modern solid modeling software and the numerical
solution is done by ANSYS, which is a finite element analysis package. The analytical investigation
is based on Lewis stress formula.
This thesis also considers the study of contact stresses induced between two gears. Present method
of calculating gear contact stress uses Hertz's equation. To determine the contact stresses between
two mating gears the analysis is carried out on the equivalent contacting cylinders. The results
obtained from ANSYS are presented and compared with theoretical values.
Face width and helix angle are important geometrical parameters in determining the state of stresses
during the design of gears. Thus, in this work a parametric study is conducted by varying the face
width and helix angle to study their effect on the bending stress of helical gear.
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Applied Mechanics Stream