Erratum to :  Tooth Form Factor of Involute Spur Gear

A digital simulation model is developed to represent a lightly loaded geared torsional system consisting of a drive unit, spur gear pair and load connected by flexible shafts. A clearance model called an Impact Pair [13] is used to represent the gear pair and includes the effects of backlash, time-varying stiffness and damping of the gear teeth and tooth-form error. Experimentally determined frequency spectra of the torsional oscillations of a gear-driven shaft have been plotted and reported on earlier [1]. Similar frequency plots are obtained from the simulation study, and data from these plots are compared with the experimental results for a variety of parameter changes including shaft speed, backlash and load. Results indicate that the simulation model portrays reasonably well the torsional behavior of the output shaft.

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The Determination of the Lewis Form Factor and the AGMA Geometry Factor J for External Spur Gear Teeth

Journal of Mechanical Design ◽

10.1115/1.3256305 ◽

1982 ◽

Vol 104 (1) ◽

pp. 148-158 ◽

Cited By ~ 16

Author(s):

R. G. Mitchiner ◽

H. H. Mabie

Keyword(s):

Form Factor ◽

Spur Gear ◽

Constant Stress ◽

Direct Approach ◽

Center Line ◽

Geometry Factor ◽

Gear Teeth ◽

Definition Of ◽

Line Intercept

This paper presents a simple and direct approach to the problem of the definition of the root profile for standard and nonstandard external spur gear teeth. Equations are developed for the location of the tooth center-line intercept at the constant-stress parabola. Also, the expression for the location of the point of tangency of the parabola with the root trochoid is given as well as the derivative of this expression. The AGMA Standards present charts of geometry factors, but the method by which these factors were determined is graphical and in some instances is not sufficiently accurate nor convenient to use. Although other investigators have considered this problem, their methods are either graphical or very complicated analytically. This treatment of the problem has been developed because it is not available in the open literature. Tables and charts are given for both Y and J factors for many profile variations.

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Simplified Calculation Formulae for Involute Tooth Form Factor. Based on JGMA 6101-01 Standard.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.65.2867 ◽

1999 ◽

Vol 65 (635) ◽

pp. 2867-2871

Author(s):

Masaya MURATA ◽

Shouichi ISHIKAWA

Keyword(s):

Form Factor ◽

Tooth Form ◽

Simplified Calculation

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A Method for Determining the AGMA Tooth Form Factor from Equations for the Generated Tooth Root Fillet

Journal of Mechanisms Transmissions and Automation in Design ◽

10.1115/1.3260813 ◽

1986 ◽

Vol 108 (2) ◽

pp. 270-279 ◽

Cited By ~ 1

Author(s):

M. A. Lopez ◽

R. T. Wheway

Keyword(s):

Form Factor ◽

Iterative Procedure ◽

Gear Tooth ◽

Critical Section ◽

Tooth Root ◽

Bending Stress ◽

Tooth Form ◽

Computer Generation ◽

Tooth Section

The determination of the AGMA tooth form factor requires that the dimensions of the critical tooth section, at which the maximum bending stress is deemed to occur, be found. Critical section dimensions have traditionally been measured from a scaled generated layout of the tooth profile. The layout procedure, however, requires very careful drafting, and even then it is difficult to achieve really satisfactory accuracy because of the complex operations required to produce the fillet curve, with the added difficulty of estimating the point of tangency with the Lewis iso-bending stress parabola. Although a number of analytical methods are available for computing the critical section dimensions, their solution has generally been cumbersome, or convergence on the correct solution remained a problem. This paper presents equations for the gear tooth root fillet curve which have been derived from an analysis of the relative motion between a rack cutter and gear tooth during the generating cycle. An improved iterative procedure is used to find the critical tooth section dimensions from these equations. A further application of the root fillet equations, which is also covered, is in the computer generation of tooth profiles for assessment of the final tooth shape.

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