Worm Gearing Design Improvement by Considering Varying Mesh Stiffness
A new approach has been developed to estimate the
load share and distribution of worm gear drives, and to calculate the
instantaneous tooth meshing stiffness. In the approach, the worm gear
drive was modelled as a series of spur gear slices, and each slice was
analyzed separately using the well-established formulae of spur gear
loading and stresses. By combining the results obtained for all slices,
the entire envolute worm gear set loading and stressing was obtained. The geometric modelling method presented allows tooth elastic
deformation and tooth root stresses of worm gear drives under
different load conditions to be investigated. Based on the slicing
method introduced in this study, the instantaneous meshing stiffness
and load share are obtained. In comparison with existing methods,
this approach has both good analysis accuracy and less computing
time.
[1] Dudley, D. W. Gear handbook, the design, manufacture, and
applications of gears. New York: McGraw-Hill, 1962.
[2] DIN. DIN 3990 – Calculation of load capacity of cylindrical gears.
Deutsches institut fur normung E.V., 1987.
[3] Andrews, J. D. A finite element analysis of bending stresses included in
external and internal involute spur gears. Journal of Strain Analysis for
Engineering Design 1991; 26 (3): 153-63.
[4] Design unit. Gear analysis software system. University of Newcastle
upon Tyne, 1992.
[5] Rao, C.R.M., Muthuveerappan, G. Finite element modeling and stress
analysis of helical gear teeth. Computers & Structures 1993; 49 (6):
1095-106.
[6] Shigley, I.E., “Mechanical Engineering Design” 1st Metric Ed.,
McGraw-Hill, New York, pp. 552-557, 1987.
[7] Elkholy, A.H., “Tooth Load Sharing in High-Contact Ratio Spur Gears”,
ASME Journal of Mechanisms, Transmissions, and Automation in
Design, Vol. 107, pp. 11-16, 1985.
[1] Dudley, D. W. Gear handbook, the design, manufacture, and
applications of gears. New York: McGraw-Hill, 1962.
[2] DIN. DIN 3990 – Calculation of load capacity of cylindrical gears.
Deutsches institut fur normung E.V., 1987.
[3] Andrews, J. D. A finite element analysis of bending stresses included in
external and internal involute spur gears. Journal of Strain Analysis for
Engineering Design 1991; 26 (3): 153-63.
[4] Design unit. Gear analysis software system. University of Newcastle
upon Tyne, 1992.
[5] Rao, C.R.M., Muthuveerappan, G. Finite element modeling and stress
analysis of helical gear teeth. Computers & Structures 1993; 49 (6):
1095-106.
[6] Shigley, I.E., “Mechanical Engineering Design” 1st Metric Ed.,
McGraw-Hill, New York, pp. 552-557, 1987.
[7] Elkholy, A.H., “Tooth Load Sharing in High-Contact Ratio Spur Gears”,
ASME Journal of Mechanisms, Transmissions, and Automation in
Design, Vol. 107, pp. 11-16, 1985.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:70951", author = "A. H. Elkholy and A. H. Falah", title = "Worm Gearing Design Improvement by Considering Varying Mesh Stiffness", abstract = "A new approach has been developed to estimate the
load share and distribution of worm gear drives, and to calculate the
instantaneous tooth meshing stiffness. In the approach, the worm gear
drive was modelled as a series of spur gear slices, and each slice was
analyzed separately using the well-established formulae of spur gear
loading and stresses. By combining the results obtained for all slices,
the entire envolute worm gear set loading and stressing was obtained. The geometric modelling method presented allows tooth elastic
deformation and tooth root stresses of worm gear drives under
different load conditions to be investigated. Based on the slicing
method introduced in this study, the instantaneous meshing stiffness
and load share are obtained. In comparison with existing methods,
this approach has both good analysis accuracy and less computing
time.", keywords = "Gear, load/stress distribution, worm, wheel, tooth
stiffness, contact line.", volume = "9", number = "9", pages = "1647-4", }