Computerized Design and Generation of a Helical Gear Drive in Substitution of a Worm-Gear Drive

1995 ◽  
Author(s):  
Faydor L. Litvin ◽  
David H. Kim
Keyword(s):  
Low Power ◽  
Computer Program ◽  
Helical Gear ◽  
Worm Gear ◽  
Numerical Example ◽  
Gear Drive

Abstract The design and generation of a gear drive formed by an involute helical gear and an involute worm is considered. Such a drive is applied as a low-power one in substitution of a conventional worm-gear drive. The authors have developed the geometry of the drive, simulated the meshing and contact via a computer program, and have developed the design of the grinding (cutting) wheel for generation of the worm. A numerical example is provided for illustration of the developed theory.

Computerized Design and Simulation of Meshing of Worm-Gear Drive With Longitudinally Localized Bearing Contact

1995 ◽  
Author(s):  
Faydor L. Litvin ◽  
I. H. Seol ◽  
K. Kim
Keyword(s):  
Computer Program ◽  
Longitudinal Direction ◽  
Worm Gear ◽  
Numerical Example ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Gear Drives

Abstract The design and simulation of meshing of a single-enveloping worm-gear drive with a localized bearing contact is considered. The bearing contact has a longitudinal direction. The purpose of localization is to reduce the sensitivity of the worm-gear drive to misalignment. The authors’ approach for localization of bearing contact is based on the proper mismatch of the sufaces of the hob and the drive worm. The developed computer program allows the investigation of the influence of misalignment on the shift of the bearing contact and allows determination of the transmission errors. The developed approach is applicable for all types of single-enveloping worm-gear drives. The developed theory is illustrated with a numerical example.

The Design, Generation, and Simulation of Meshing of Worm-Gear Drive With Longitudinally Localized Contacts

2000 ◽  
Vol 122 (2) ◽  
pp. 201-206 ◽  
Author(s):  
I. H. Seol
Keyword(s):  
Computer Program ◽  
Longitudinal Direction ◽  
Worm Gear ◽  
Contact Ratio ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Design Generation ◽  
Gear Drives

The design and simulation of meshing of a single enveloping worm-gear drive with a localized bearing contact is considered. The bearing contact has a longitudinal direction and two branches of contact path. The purpose of localization is to reduce the sensitivity of the worm-gear drive to misalignment. The author’s approach for localization of bearing contact is based on the proper mismatch of the surfaces of the hob and drive worm. The developed computer program allows the investigation of the influence of misalignment on the shift of the bearing contact and the determination of the transmission errors and the contact ratio. The developed approach has been applied for K type of single-enveloping worm-gear drives and the developed theory is illustrated with a numerical example. [S1050-0472(00)00502-X]

Curvatures and Sliding Ratios of Conjugate Surfaces

1998 ◽  
Vol 120 (1) ◽  
pp. 126-132 ◽  
Author(s):  
N. Chen
Keyword(s):  
Worm Gear ◽  
New Approach ◽  
Numerical Example ◽  
Gear Drive ◽  
Surface System ◽  
Conjugate Surfaces ◽  
Global Surface

A new approach for curvatures of conjugate surfaces is provided in this paper. The main characteristic of the approach is that relative curvatures and geodesic torsions of the conjugate surfaces are directly calculated in terms of the normal curvatures and geodesic torsions of the generating surface on two nonorthogonal tangents of surface curvilinears in the global surface system. Based on the curvature equations, sliding velocities and sliding ratios of the conjugate surfaces are studied. The approach is illustrated by a numerical example of a plane enveloping globoidal worm-gear drive.

A New Approach for Curvatures of Conjugate Surfaces

1996 ◽  
Author(s):  
Ningxin Chen
Keyword(s):  
Computer Program ◽  
Local System ◽  
New Approach ◽  
Simple Computer ◽  
Numerical Example ◽  
Surface System ◽  
Principal Directions ◽  
Conjugate Surfaces ◽  
Global Surface ◽  
Simple Computer Program

Abstract A new and general approach for curvatures of conjugate surfaces is provided in this paper. The main characteristic of the approach is that relative curvatures and geodesic torsions of the conjugate surfaces are directly calculated in terms of the normal curvatures and geodesic torsions of the generating surface on two non-orthogonal tangents of surface curvilinears in global surface system. In comparison with the current approaches that use two orthogonal tangents or the principal directions in local system at each calculating point, the approach developed in this paper has a simple calculating process and a simple computer program. Based on the curvature equations, sliding velocities and sliding ratios of the conjugate surfaces are studied. The approach is illustrated by a numerical example of a plane enveloping globoidal wormgear drive.

Computerized Design, Generation and Simulation of Meshing and Contact of Modified Flender Worm-Gear Drives

1996 ◽  
Author(s):  
I. H. Seol ◽  
Faydor L. Litvin
Keyword(s):  
Gear Tooth ◽  
Worm Gear ◽  
Numerical Examples ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Tooth Surfaces ◽  
Design Generation ◽  
Computerized Simulation ◽  
Gear Drives

Abstract The worm and worm-gear tooth surfaces of existing design of Flender gear drive are in line contact at every instant and the gear drive is very sensitive to misalignment. Errors of alignment cause the shift of the bearing contact and transmission errors. The authors propose : (1) Methods for computerized simulation of meshing and contact of misaligned worm-gear drives of existing design (2) Methods of modification of geometry of worm-gear drives that enable to localize and stabilize the bearing contact and reduce the sensitivity of drives to misalignment (3) Methods for computerized simulation of meshing and contact of worm-gear drives with modified geometry The proposed approach was applied as well for the involute (David Brown) and Klingelnberg type of worm-gear drives. Numerical examples that illustrate the developed theory are provided.

Limitations of Conjugate Gear Tooth Surfaces in Order to Avoid Undercutting and Appearance of Envelope of Lines of Contact

1988 ◽  
Author(s):  
F. L. Litvin ◽  
D. J. Kin ◽  
Y. Zhang
Keyword(s):  
Computer Graphics ◽  
Gear Tooth ◽  
Worm Gear ◽  
Singular Points ◽  
Line Contact ◽  
Gear Drive ◽  
Pressure Angle ◽  
Tooth Surfaces ◽  
Limiting Pressure

Abstract Gear tooth surfaces being in line contact at every instant are considered. The dimensions of the contacting surfaces must be limited in order to avoid: (i) the appearance of the envelope of lines of contact on the generating surface Σ1 and (ii) the appearance of singular points on the generated surface Σ2. The relations between the developed concepts and the Wildhaber’s concept of the limiting pressure angle are investigated. Applications to the worm-gear drive and the generation of a pinion of a formate gear drive are considered. Computer graphics have been used to illustrate the results of computation.

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