학술논문

Meshing analysis and optimization for plane-generated enveloping toroid hourglass worm drive.
Document Type
Article
Source
Journal of Mechanical Science & Technology. Jul2021, Vol. 35 Issue 7, p3069-3080. 12p.
Subject
*ANALYTIC geometry
*DIFFERENTIAL geometry
*MATHEMATICAL models
*WORMS
*COORDINATE transformations
Language
ISSN
1738-494X
Abstract
Optimal design parameter combination and transmission optimization for plane-generated enveloping toroid hourglass worm drive are proposed. The modeling frame and mathematical model of the worm were constructed first to provide a perfect transmission. Then, the mathematical representations of transmission performance, including lubrication angle, induced normal curvature, and length of meshing line for worm drive, were derived according to differential geometry and coordinate transformation approach. In addition, the influence of various design parameters on transmission performance was associated with main parameters, and the influence of the main parameters on transmission was evaluated. Next, a multivariate transmission optimization considering lubrication effect, bearing capacity and contact strength was conducted in view of the whole meshing cycle. The optimal global solution of the multivariate optimization model was also evaluated using a genetic algorithm. Calculation and experimental results indicated the optimization study was in good agreement with experimental results. Finally, the comprehensive transmission performance of the worm drive has an increase of 9.2 %. [ABSTRACT FROM AUTHOR]