Computerized Design of Muti-Gear Drives for Function Generation

2009 ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes ◽  
Faydor L. Litvin ◽  
Kenichi Hayasaka
Keyword(s):  
Transmission Function ◽  
New Approach ◽  
Numerical Examples ◽  
Function Generation ◽  
Gear Drive ◽  
Pressure Angle ◽  
Gear Drives

A new approach for generation of functions based on application of a multi-gear drive is proposed. The approach provides solution to the functional Ψ(α) = gn(gn−1(⋯(g1(α)))) wherein Ψ(α) is the function assigned for generation and gi(α), i = 1,⋯,n, is the transmission function of pair i of conjugated non-circular gears. The specifics characteristics of the proposed approach are: (a) integrated impact by application of n synchronized gear drives, (b) favourable shape of centrodes, and (c) observation of limits of pressure angle. The developed theory is illustrated with several detailed numerical examples.

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.

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.

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.

Contact Characteristics of Circular-Arc Curvilinear Tooth Gear Drives

2009 ◽  
Vol 131 (8) ◽  
Author(s):  
Yi-Cheng Wu ◽  
Kuan-Yu Chen ◽  
Chung-Biau Tsay ◽  
Yukinori Ariga
Keyword(s):  
Contact Analysis ◽  
Surface Topology ◽  
Contact Ratio ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Numerical Examples ◽  
Gear Drive ◽  
Tooth Gear ◽  
Gear Drives

In this paper, the circular-arc curvilinear tooth gear drive is proposed. The gear and pinion tooth surfaces are generated by two complemented circular-arc rack cutters with curvilinear tooth-traces. According to the theory of gearing, the mathematical model of the proposed gear is developed. The tooth contact analysis technique is utilized to investigate the kinematical errors of circular-arc curvilinear tooth gear drives under different assembly errors. Contact patterns of the circular-arc curvilinear tooth gear drive are simulated by the developed computer-aided tooth contact analysis programs and surface topology method. Numerical examples are presented to show the kinematical errors of the circular-arc curvilinear tooth gear set under different assembly conditions. Relations among the circular-arc tooth profile, curvilinear tooth-trace, contact ratio, contact pattern, and kinematical error are also demonstrated by numerical examples.

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.

Kinematic Synthesis of Planar Two-Gear Drives With Prescribed Dwell Characteristics

1982 ◽  
Vol 104 (4) ◽  
pp. 687-697
Author(s):  
T. W. Lee ◽  
Y. Shereshevsky
Keyword(s):  
Velocity Fluctuation ◽  
Kinematic Synthesis ◽  
Numerical Examples ◽  
Design Chart ◽  
Gear Drive ◽  
Computer Aided ◽  
Motion Characteristics ◽  
Gear Drives ◽  
Four Bar Linkage ◽  
Analysis Of Motion

This paper presents an analytical and computer-aided procedure on the kinematic synthesis of the planar two-gear drive. The drive is designed as a reversing mechanism and as a nonreversing mechanism either with or without dwell. Dwell characteristics of the mechanism are investigated using algebraic methods. It is found that the problem relates closely to the velocity-fluctuation of the four-bar linkage. Both general and specific dwell criteria are derived. An efficient computer-aided procedure can be used for the analysis of motion characteristics and for the development of a design chart. Numerical examples illustrate both analytical as well as graphical synthesis procedures.

Comparison Experiment for Two Kinds of Hypoid Gear Drives

2010 ◽  
Vol 20-23 ◽  
pp. 1385-1390
Author(s):  
Hong Bin Yang ◽  
Xiao Hong Wang ◽  
Zong De Fang
Keyword(s):  
Working Conditions ◽  
Test Object ◽  
Hypoid Gear ◽  
Gear Drive ◽  
Comparison Experiment ◽  
Gear Drives

To develop a good quality of hypoid gear drive, the authors test the vibration and noise of two kinds of hypoid gear drives under different working conditions. The test object is a pair of hypoid gear drive used in the back axle of one minivan and a designed hypoid gear drive with high teeth based on the former. The results indicate that the hypoid gear drive with high teeth has lower vibration and noise.

Design and Geometry of Face-Gear Drives

1992 ◽  
Vol 114 (4) ◽  
pp. 642-647 ◽  
Author(s):  
F. L. Litvin ◽  
Y. Zhang ◽  
J.-C. Wang ◽  
R. B. Bossler ◽  
Y.-J. D. Chen
Keyword(s):  
Face Gear ◽  
Analytical Geometry ◽  
Numerical Examples ◽  
Transmission Errors ◽  
Bearing Contact ◽  
Computerized Simulation ◽  
Gear Drives

The authors have developed the analytical geometry of face-gear drives, proposed the method for localization of bearing contact, developed computerized simulation of meshing and bearing contact, investigated the influence of gear misalignment on the shift of bearing contact and transmission errors. Application for design is discussed. The obtained results are illustrated with numerical examples.

scholarly journals A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Renbin Liu ◽  
Yong Wu
Keyword(s):  
Renewal Process ◽  
Decomposition Method ◽  
Process Theory ◽  
Series System ◽  
New Approach ◽  
Numerical Examples ◽  
Special Cases ◽  
The Mean ◽  
Repair Facility

Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in ann-unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during(0,t]of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method.

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