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.

Kinematic Synthesis of Spherical Two-Gear Drives With Prescribed Entire-Motion Characteristics: Displacement Analysis and Dwell Characteristics

1983 ◽  
Vol 105 (4) ◽  
pp. 663-671 ◽  
Author(s):  
T. W. Lee ◽  
E. Akbil
Keyword(s):  
Kinematic Synthesis ◽  
Displacement Analysis ◽  
Gear Drive ◽  
Transmission Angle ◽  
Computer Aided ◽  
Displacement Equation ◽  
Synthesis Procedure ◽  
Motion Characteristics ◽  
Joint Consideration ◽  
Gear Drives

This paper presents an analytical and computer-aided procedure on the kinematic synthesis of the spherical two-gear drive with prescribed dwell characteristics. The first part gives a displacement analysis which includes an investigation of the general case of spherical five-link, 5R mechanisms and the spherical geared five-link case. Two approaches, one making use of the spherical trigonometric relations and the other involving sequential coordinate transformations by real and orthogonal [3 × 3] matrices, yield identical input-output expressions. The remainder of the paper focuses on the dwell characteristics of the spherical two-gear drive using algebraic methods based on the displacement equation. Dwell criteria for the general mth-order dwell are derived. A specific example which involves a joint consideration of other entire-motion characteristics, such as limit positions and transmission-angle variations, is given to illustrate both the theory as well as the computer-aided synthesis procedure.

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 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.

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.

Kinematic Synthesis of Spherical Two-Gear Drives With Prescribed Entire-Motion Characteristics: Unlimited Crank Rotations and Optimum Transmission. Part 1: Theory

1986 ◽  
Vol 108 (1) ◽  
pp. 46-52 ◽  
Author(s):  
T. W. Lee ◽  
E. Akbil
Keyword(s):  
Rational Design ◽  
Transmission Characteristics ◽  
Kinematic Synthesis ◽  
Input And Output ◽  
Special Cases ◽  
Transmission Part ◽  
Motion Characteristics ◽  
Gear Drives ◽  
Algebraic Solutions

This investigation is concerned with the determination of the rotatability of the input and output cranks and the optimization of transmission characteristics of spherical two-gear drives. Algebraic solutions are shown to be feasible only in a few special cases. In general, numerical synthesis procedures, involving either optimization or parameter scanning processes, are essential and they are developed from the general theory presented in this paper. The results, including conditions that can be regarded as an extension of the Grashof’s rule to the class of spherical geared mechanisms, are useful for the rational design of mechanisms. Applications of the theory to practical mechanisms design are given in Part 2.

Kinematic Synthesis of Spherical Two-Gear Drives With Prescribed Entire-Motion Characteristics: Unlimited Crank Rotations and Optimum Transmission. Part 2: Applications

1986 ◽  
Vol 108 (1) ◽  
pp. 53-59 ◽  
Author(s):  
T. W. Lee ◽  
E. Akbil
Keyword(s):  
Design Procedure ◽  
Companion Paper ◽  
Analytical Investigation ◽  
Design Guidelines ◽  
Kinematic Synthesis ◽  
Computer Aided Analysis ◽  
Transmission Part ◽  
Motion Characteristics ◽  
Gear Drives ◽  
Insight Into

The theory developed in Part 1 [1] as well as in a companion paper [2] has been applied to the kinematic synthesis of a special class of spherical two-gear drives, including the Rotary Step Mechanism, with prescribed entire-motion characteristics. Insight into the behavior of such mechanisms can be interpreted through the results of an analytical investigation of mechanism characteristics. A useful design procedure, a design table, and a set of design guidelines are presented. Examples are given to illustrate both the analytical synthesis and the computer-aided analysis procedures.

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.

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.

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