Curvature interference characteristic of conical worm gear

Based on the general mathematical model of Dudás [3, 4] — which is appropriate for mathematical modelling of production technology methods and various toothed gear pairs — we have generated mathematical models which are appropriate for determination of tooth surface points of face gear and worm gear connection with conical and cylindrical worm by numerical way. After doing the necessary calculations, the CAD models of the worm gear drives could be generated. Based on these there is an opportunity for rapid prototyping (RP) technology for other connection and production geometric analysis. For the verification of our calculated results, we generate CAD models of one to one given geometric conical and cylindrical worm gear drives for other analysis.

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Development of a Self-Propelled Colonoscope Robot with a Conical Worm Gear Mechanism

Journal of Japan Society of Computer Aided Surgery ◽

10.5759/jscas.21.5 ◽

2019 ◽

Vol 21 (1) ◽

pp. 5-11 ◽

Cited By ~ 1

Author(s):

Keisuke Osawa ◽

Ryu Nakadate ◽

Jumpei Arata ◽

Shinya Onogi ◽

Tomohiko Akahoshi ◽

...

Keyword(s):

Worm Gear ◽

Gear Mechanism ◽

Conical Worm

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Comparative Finite Element Method Analysis of Spiroid Worm Gear Drives Having Arched Profile and Having Linear Profile in Axial Section

Technological Engineering ◽

10.2478/teen-2014-0005 ◽

2014 ◽

Vol 11 (1) ◽

pp. 25-29

Author(s):

Sándor Bodzás ◽

Illés Dudás

Keyword(s):

Finite Element Method ◽

Worm Gear ◽

Finite Element Method Analysis ◽

Axial Section ◽

Linear Profile ◽

Gear Drive ◽

Gear Drives ◽

Conical Worm ◽

Spiroid Worm ◽

Method Analysis

Abstract With the knowledge of the advantageous characteristics of the cylindrical worm gear drives having arched profile in axial section and the conical worm gear drives having linear profile in axial section, a new geometric type conical worm gear drive has been designed and then manufactured, that is the conical worm gear drive having arched profile in axial section. Beside similar charging and marginal conditions in case of the same geometric spiroid worm gear drives having arched profile and having linear profile in axial section we have done comparative finite element method analysis for awarding of the strains, deformations and stresses of this gear drives.

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The Production Geometric Analysis of the New Type, Spiroid Worm Gear Drive Having Arched Profile

Volume 5: 25th International Conference on Design Theory and Methodology; ASME 2013 Power Transmission and Gearing Conference ◽

10.1115/detc2013-13687 ◽

2013 ◽

Cited By ~ 1

Author(s):

Illés Dudás ◽

Sándor Bodzás

Keyword(s):

Geometric Analysis ◽

Research Field ◽

Worm Gear ◽

Axial Section ◽

Gear Drive ◽

New Type ◽

Application Fields ◽

The University ◽

Conical Worm ◽

Spiroid Worm

In the last few decades in Hungary, the Budapest University of Technology and Economics and the University of Miskolc have been intensively focusing on the research field of worm gear drives [2, 5]. Our results at the University of Miskolc have also been published in a book published in the USA as well [2]. A new geometric worm gear drive has been developed, that is the conical worm gear drive having arched profiled in axial section [3]. The aim of our publication is to present the advantages, the geometric questions and the possible application fields of this new type worm gear drive.

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Curvature interference characteristic of conical surface enveloping conical worm

Forschung im Ingenieurwesen ◽

10.1007/s10010-017-0250-0 ◽

2017 ◽

Vol 81 (4) ◽

pp. 409-419 ◽

Cited By ~ 3

Author(s):

Yaping Zhao ◽

Qingxiang Meng

Keyword(s):

Conical Surface ◽

Conical Worm ◽

Curvature Interference

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Numerical Method of Determining the Curvature Interference Limit Curve for Modified Hourglass Worm Pairs

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.86.352 ◽

2011 ◽

Vol 86 ◽

pp. 352-356 ◽

Cited By ~ 3

Author(s):

Ya Ping Zhao ◽

Tian Chao Wu

Keyword(s):

Numerical Method ◽

Nonlinear Equations ◽

Double Point ◽

Jacobi Matrix ◽

Worm Gear ◽

Secant Method ◽

System Of Nonlinear Equations ◽

Limit Curve ◽

Numerical Example ◽

Curvature Interference

The double-point downhill secant method (the DPDS method) is proposed to solve the nonlinear equations to determine the curvature interference limit points for modified hourglass worm drives. Thereupon, the whole curvature interference limit line can be obtained by interpolation. Based on this, the undercutting feature of the corrected worm gear can be investigated. The DPDS method has two main merits in principle. The first is the avoidance of the computation of the Jacobi matrix of the system of nonlinear equations. The second is that the sensitivity to the guess value can be decreased evidently owing to adopt the technique of the norm reduction. The effectiveness of the DPDS method is inspected and verified by a numerical example.

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Mathematical model to determination of resharpening territory of Conical Hob

Analecta Technica Szegedinensia ◽

10.14232/analecta.2014.2.45-50 ◽

2014 ◽

Vol 8 (2) ◽

pp. 45-50

Author(s):

Illés Dudás ◽

Sándor Bodzás

Keyword(s):

Mathematical Model ◽

Critical Angle ◽

Worm Gear ◽

Tooth Surface ◽

Face Gear ◽

Axial Section ◽

Gear Drive ◽

The Face ◽

Conical Worm

Based on the general mathematical model of Illés Dudás which is appropriate for mathematical modelling of production technology methods we have worked out a model for resharpening analysis of conical hob. After the hob resharpening using numerical calculations the determination of the tooth surface of face gear by cutting edges is necessary for the analysis. Based on this methods we could calculate the permissible critical angle of the hob and the profiles of the hob and the face gear in axial section. The permissible critical angle of the hob is the critical angle the hob cutting edge of which manufactured face gear profile is situated in the permissible profile error tolerance. We have worked out a new geometric conical worm gear drive that is the conical worm gear drive having arched profile. Using this mathematical model we have done resharpening analysis for the hob having arched profile and determined the permissible critical angle.

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