Error-sensitivity analysis of hourglass worm gearing with spherical meshing elements

Luo

Proceedings of the Institution of Mechanical Engineers, Part C:

et al. 2017

In this paper, a novel multitooth point contact hourglass worm drive is proposed, which is composed of a planar enveloping hourglass worm and a spur involute gear, and both of them can be hardened and precisely ground. This novel hourglass worm drive is also named as involute gear meshing with planar enveloping hourglass worm drive (IP hourglass worm drive). Based on the gear geometry theory and the medium gear, the mathematical models of IP hourglass worm drive are deduced, the theory of tooth contact analysis is studied, as well as the tooth contact analysis is developed by the numerical analysis and finite element analysis. The performance of IP hourglass worm drive has been confirmed by the numerical simulation. This work is expected to give a theoretical basis for the IP hourglass worm drive.

Section: Introductionmentioning

confidence: 99%

“…Chen et al. 25 studied the influence of the tooth errors and shaft misalignments on the tooth contact in hourglass worm gearing with spherical meshing elements, where the distribution characteristics of the contact lines were explored, as well as the error-sensitivity formulas were deduced and illustrated by a numerical example.…”

Section: Introductionmentioning

confidence: 99%

Study on the spur involute gear meshing with planar enveloping hourglass worm based on local conjugate

Luo

Proceedings of the Institution of Mechanical Engineers, Part C:

et al. 2017

“…Zhao et al 19 studied the error sensitivity and tooth contact of dual-torus doubleenveloping hourglass worm drive. Chen et al 20 studied the tooth contact in spherical meshing elements of hourglass worm drive with tooth errors and shaft misalignments, described the tooth surfaces and explored the distribution characteristic of contact lines. Wei et al 21 and Yao et al 22,23 investigated the meshing errors of the toroidal drive and found three typical latency manufacturing errors and assembly errors and developed the error analysis in this typical type of worm drives.…”

Section: Introductionmentioning

confidence: 99%

“…Chen et al. 20 studied the tooth contact in spherical meshing elements of hourglass worm drive with tooth errors and shaft misalignments, described the tooth surfaces and explored the distribution characteristic of contact lines. Wei et al.…”

Section: Introductionmentioning

confidence: 99%

Computerized simulation of tooth contact for planar internal gear enveloping crown worm drive with errors

Luo

Proceedings of the Institution of Mechanical Engineers, Part C:

et al. 2017

The influence of manufacturing errors and assemble errors on the tooth contact in the planar internal gear enveloping crown worm drive (the crown worm drive) is investigated in this paper. Based on the gear geometry theory and the common moving frame of conjugate tooth surfaces, the mathematical models of crown worm drive are deduced with various kinds of errors, and the methods of solving the actual contact point and actual contact area are presented, as well as the tooth contact analysis is developed by the numerical examples. This work is expected to give a theoretical basis for the manufacture and assemble of crown worm drive.

Proceedings of the Institution of Mechanical Engineers, Part C:

“…However, it did not take the contact deformation into account, which had an effect on the alignment errors. In Chen et al., 15 the effect of tooth errors and shaft misalignments on the tooth contact in hourglass worm gearing with spherical meshing elements was investigated, and how the deformation counteracted on the tooth errors and shaft misalignments needs to be analyzed. Influence of the tooth errors and shaft misalignments on loaded tooth contact was researched in Simon 16 for different types of cylindrical worm gears.…”

Section: Introductionmentioning

confidence: 99%

A formulation of tooth deformation and its error compensation for worm gear transmission mechanisms

Zhao

Huang

Shi

2016

Milling head and rotary table are the key components in five-axis CNC machine tools. However, tracking and positioning precision of these rotary axes based on worm gear mechanisms are affected by the backlash, friction, elastic deformation, and other nonlinearities. Therefore, finding out a simple and universal principle to predict the tooth deformation in an initial design is quite significant. A novel deformation calculation and compensation method with finite element analysis and circular plate theory is proposed for the worm gear transmissions. When the relationship (form factor) between the solutions of circular plate theory and finite element analysis is derived, deformation calculation with finite element analysis can be replaced by multiplying the solution of circular plate theory and the form factor. Analysis and calculation results show that the presented method can provide a reference for the compensation control of the positioning errors.