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]

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.

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.

Geometry and Investigation of Klingelnberg-Type Worm Gear Drive

2006 ◽  
Vol 129 (1) ◽  
pp. 17-22 ◽  
Author(s):  
Faydor L. Litvin ◽  
Kenji Yukishima ◽  
Kenichi Hayasaka ◽  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes
Keyword(s):  
Contact Analysis ◽  
Worm Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Numerical Examples ◽  
Gear Drive ◽  
Bearing Contact ◽  
Design Generation ◽  
Gear Drives

The computerized design, generation, and tooth contact analysis of a Klingelnberg-type cylindrical worm gear drive is considered wherein localization of contact is obtained by application of an oversized hob and mismatch geometries of hob and worm of the drive. A computerized approach for the determination of contacting surfaces and the investigation of their meshing and contact by tooth contact analysis is presented. The developed theory results in an improvement of bearing contact and reduction of sensitivity to misalignment. The theory is illustrated with numerical examples and may be applied for other types of cylindrical worm gear drives.

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

1996 ◽  
Vol 118 (4) ◽  
pp. 551-555 ◽  
Author(s):  
I. H. Seol ◽  
F. L. Litvin
Keyword(s):  
Gear Tooth ◽  
Worm Gear ◽  
Numerical Examples ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Tooth Surfaces ◽  
Design Generation ◽  
Computerized Simulation ◽  
Gear Drives

The worm and worm-gear tooth surfaces of existing worm-gear drive designs are in line contact at every instant and the gear drive is very sensitive to misalignment. Errors of alignment cause shifting of the bearing contact and transmission errors. Methods for computerized simulation of meshing and contact of misaligned worm-gear drives of existing design are proposed. Also, modification of worm-gear drive geometry that provides a localized and stable bearing contact with reduced sensitivity to misalignment is described. Methods for computerized simulation of meshing and contact of worm-gear drives with the existing and modified geometry are represented. Numerical examples that illustrate the developed theory are provided. The proposed approach has been applied for modification of involute, Klingelnberg and Flender type worm-gear drives.

Contact Characteristics of Recess Action Worm Gear Drives With Double-Depth Teeth

2011 ◽  
Vol 133 (11) ◽  
Author(s):  
Wei-Liang Chen ◽  
Chung-Biau Tsay
Keyword(s):  
Worm Gear ◽  
Surface Topology ◽  
Design Parameters ◽  
Kinematic Error ◽  
Contact Ratio ◽  
Tooth Contact Analysis ◽  
Gear Drive ◽  
Contact Patterns ◽  
Bearing Contact ◽  
Gear Drives

Based on the previously developed mathematical model of a series of recess action (RA) worm gear drive (i.e., semi RA, full RA, and standard proportional tooth types) with double-depth teeth, the tooth contact analysis (TCA) technique is utilized to investigate the kinematic error (KE), contact ratio (CR), average contact ratio (ACR), instantaneous contact teeth (ICT) under different assembly conditions. Besides, the bearing contact and contact ellipse are studied by applying the surface topology method. Three numerical examples are presented to demonstrate the influence of the assembly errors and design parameters of the RA worm gear drive on the KE, CR, ACR, ICT, and contact patterns.

Computerized Design, Generation and Simulation of Meshing of a Spiroid Worm-Gear Drive With Double-Crowned Worm

1998 ◽  
Author(s):  
Mauro De Donno ◽  
Faydor L. Litvin
Keyword(s):  
Worm Gear ◽  
Face Gear ◽  
Transmission Errors ◽  
Gear Drive ◽  
Thread Surface ◽  
Bearing Contact ◽  
Parabolic Function ◽  
Design Generation ◽  
Cone Surface ◽  
Spiroid Worm

Abstract The authors propose methods of computerized design and analysis of a spiroid worm-gear drive with ground worm based on the following considerations: (1) The theoretical thread surface of the hob is generated by a cone surface. (2) The worm surface is crowned in profile and longitudinal directions in comparison with the hob thread surface. (3) The double crowning of the worm enables to localize the bearing contact and obtain a predesigned parabolic function of transmission errors of an assigned level. Computerized design of the worm-gear drive enables to discover and avoid singularities of the generated worm face-gear surface and pointing of teeth. The meshing and contact of the double-crowned worm and the worm face-gear is simulated to determine the influence of misalignment on the shift of bearing contact and transmission errors. Computer program for numerical solution is developed and applied. A numerical example that illustrates the developed theory is provided.

Computerized Design and Generation of Worm Gear Drives with Stable Bearing Contact and Low Transmission Errors

1999 ◽  
Vol 121 (4) ◽  
pp. 573-578 ◽  
Author(s):  
M. De Donno ◽  
F. L. Litvin
Keyword(s):  
Low Noise ◽  
Worm Gear ◽  
Force Transmission ◽  
New Approach ◽  
Transmission Errors ◽  
Gear Drive ◽  
Bearing Contact ◽  
Computerized Simulation ◽  
Gear Drives ◽  
Favorable Conditions

The authors propose a new approach for design and generation of low-noise, stable bearing contact gear drive with cylindrical worm. The approach is based on application of an oversized hob and varied plunging of worm generating tool. It is discovered that without plunging positive transmission errors occur (that are unacceptable for favorable conditions of force transmission). A predesigned parabolic function is provided that is able to absorb transmission errors caused by misalignment and reduce the level of vibrations, especially in the case of application of multi-thread worms. The developed approach is tested by computerized simulation of meshing and contact by the developed computer program. The investigation is accomplished for a worm-gear drive with the Klingelnberg type of the worm that is ground by a circular cone, but the proposed approach may be applied for other types of worm gear drives with cylindrical worms.

Computerized Design, Generation and Simulation of Meshing of a Spiroid Worm-Gear Drive with a Ground Double-Crowned Worm

1999 ◽  
Vol 121 (2) ◽  
pp. 264-273 ◽  
Author(s):  
M. De Donno ◽  
F. L. Litvin
Keyword(s):  
Worm Gear ◽  
Face Gear ◽  
Transmission Errors ◽  
Gear Drive ◽  
Thread Surface ◽  
Bearing Contact ◽  
Parabolic Function ◽  
Design Generation ◽  
Cone Surface ◽  
Spiroid Worm

The authors propose methods of computerized design and analysis of a spiroid worm-gear drive with ground worm based on the following considerations: (1) The theoretical thread surface of the hob is generated by a cone surface. (2) The worm surface is crowned in profile and longitudinal directions in comparison with the hob thread surface. (3) The double crowning of the worm enables to localize the bearing contact and obtain a predesigned parabolic function of transmission errors of an assigned level. Computerized design of the worm-gear drive enables to discover and avoid singularities of the generated worm face-gear surface and pointing of teeth. The meshing and contact of the double-crowned worm and the worm face-gear is simulated to determine the influence of misalignment on the shift of bearing contact and transmission errors. Computer program for numerical solution is developed and applied. A numerical example that illustrates the developed theory is provided.

Designing and loaded tooth contact analysis of an Archimedean worm gear drive focusing for the connecting teeth of the worm wheel by loaded torques

2020 ◽  
Vol 21 (4) ◽  
pp. 405
Author(s):  
Sándor Bodzás
Keyword(s):  
Main Property ◽  
Worm Gear ◽  
Tooth Contact Analysis ◽  
Normal Deformation ◽  
Gear Drive ◽  
Contact Points ◽  
Worm Wheel ◽  
Loaded Tooth Contact Analysis ◽  
Gear Drives

The cylindrical worm gear drives are widely used in different mechanical construction such as in the vehicle industry, the robotics, the medical appliances etc. The main property of them is the perpendicular and space bypass axes arrangement. Quite high transmission ratio could be achieved because of the high number of teeth of the worm-wheel and a little number of threads of the worm. More teeth are connected on the worm-wheel at the same time that is why higher loads and power could be transferred. In this research an Archimedean type cylindrical worm gear drive was designed. After the determination of the geometric parameters the computer-aided models were created for the LTCA analysis. Knowing of the kinematic motions of the elements the contact points of the wrapping surfaces could be determined by mathematical way. The necessary coordinate system's arrangements and matrixes were also determined. Different torques were applied during the LTCA. The changing of the distribution of the normal stress and normal deformation into different directions was followed on each connecting tooth of the worm-wheel by the torques. Based on the results consequences were determined by the created diagrams which contain the torques and the analysed mechanical parameter for each tooth.

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