期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：756-760
出版社：Newswood and International Association of Engineers
摘要：Numerical modeling and values of the involutes curve
length for a spur gear has been carried out using polar
coordinate principles and application of calculus theorems. A set
of values for base radius of the gear were considered from
10mm, 20mm, 30mm, 40mm and 50mm. The study also
considered a pressure angle of 10°, 20°, 30°, 40°, and 50° for this
set of values. The result of the length of involutes curve obtained
at a pressure angle of 10° showed a significant increase in the
length of the curve generated as the base radius increases that is
at10° and for the set of the base radius values, the length
obtained are:0.1555mm,0.311mm,0.4665mm,0.622mm and
0.7775mm. The result also revealed that at higher pressure angle
of 50°, a better length of the curve was equally generated as seen
from the plot.That is at 50° and with the base radius of 10mm,
20mm, 30mm, 40mm, and 50mm, the corresponding length of
involutes are 7.1014mm, 14.203mm, 21.3045mm, 28.406mm and
35.5075mm. This equally validate the direct proportionality of
length of curve as the square of tan a from equation.
关键词：Numerical Modeling; Involutes curve; spur gear;
constant velocity and motion
