Design of Pitch Cones for Face-Hobbed Hypoid Gears

1989 ◽  
Author(s):  
F. L. Litvin ◽  
W.-S. Chaing ◽  
M. Lundy ◽  
W.-J. Tsung
Keyword(s):  
Computer Program ◽  
Nonlinear Equations ◽  
Hypoid Gears ◽  
Specific Location ◽  
Numerical Example ◽  
Shortest Distance

Abstract The authors proposed a method that allows the relations between the pitch cone angles and spiral angles to be determined directly. These relations are represented by a system of three nonlinear equations that are derived from: (i) conditions of tangency of the pitch cones and (ii) the specific location of the head—cutter that generates hypoid gears with face—hobbed teeth of uniform depth. A computer program for the determination of pitch cone parameters has been developed. Equations have also been derived that allow to determine the location of apices of pitch cones with respect to the line of shortest distance, the coordinates of point of tangency of the pitch cones and the orientation of the plane that is tangent to the pitch cones. The proposed method is illustrated with a numerical example.

Design of Pitch Cones for Face-Hobbed Hypoid Gears

1990 ◽  
Vol 112 (3) ◽  
pp. 413-418 ◽  
Author(s):  
F. L. Litvin ◽  
W.-S. Chaing ◽  
M. Lundy ◽  
W.-J. Tsung
Keyword(s):  
Computer Program ◽  
Nonlinear Equations ◽  
Hypoid Gears ◽  
Specific Location ◽  
Numerical Example ◽  
Shortest Distance

The authors proposed a method that allows the relations between the pitch cone angles and spiral angles to be determined directly. These relations are represented by a system of three nonlinear equations that are derived from: (a) conditions of tangency of the pitch cones and (b) the specific location of the head-cutter that generates hypoid gears with face-hobbed teeth of uniform depth. A computer program for the determination of pitch cone parameters has been developed. Equations have also been derived that allow to determine the location of apices of pitch cones with respect to the line of shortest distance, the coordinates of point of tangency of the pitch cones and the orientation of the plane that is tangent to the pitch cones. The proposed method is illustrated with a numerical example.

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.

A general computer program for the extended plate overlap algorithm

1978 ◽  
Vol 48 ◽  
pp. 287-293 ◽  
Author(s):  
Chr. de Vegt ◽  
E. Ebner ◽  
K. von der Heide
Keyword(s):  
Computer Program ◽  
Simultaneous Determination ◽  
General Computer Program ◽  
General Computer

In contrast to the adjustment of single plates a block adjustment is a simultaneous determination of all unknowns associated with many overlapping plates (star positions and plate constants etc. ) by one large adjustment. This plate overlap technique was introduced by Eichhorn and reviewed by Googe et. al. The author now has developed a set of computer programmes which allows the adjustment of any set of contemporaneous overlapping plates. There is in principle no limit for the number of plates, the number of stars, the number of individual plate constants for each plate, and for the overlapping factor.

Comparative assessment of informational content of the equations of F.P. Hadlock and the computer program of V.N. Demidov in determination of term of gestation and fetal weight in the III trimester of gestation

2017 ◽  
Author(s):  
E.A. Derkach , O.I. Guseva
Keyword(s):  
Computer Program ◽  
High Precision ◽  
Gestational Age ◽  
Computer Programs ◽  
Comparative Assessment ◽  
Fetal Weight ◽  
Informational Content ◽  
Third Trimester ◽  
The Third

Objectives: to compare the accuracy of equations F.P. Hadlock and computer programs by V.N. Demidov in determining gestational age and fetal weight in the third trimester of gestation. Materials: 328 patients in terms 36–42 weeks of gestation are examined. Ultrasonography was performed in 0–5 days prior to childbirth. Results: it is established that the average mistake in determination of term of pregnancy when using the equation of F.P. Hadlock made 12,5 days, the computer program of V.N. Demidov – 4,4 days (distinction 2,8 times). The mistake within 4 days, when using the equation of F.P. Hadlock has met on average in 23,1 % of observations, the computer program of V.N. Demidov — 65,9 % (difference in 2,9 times). The mistake more than 10 days, took place respectively in 51,7 and 8,2 % (distinction by 6,3 times). At a comparative assessment of size of a mistake in determination of fetal mass it is established that when using the equation of F.P. Hadlock it has averaged 281,0 g, at application of the computer program of V.N. Demidov — 182,5 g (distinction of 54 %). The small mistake in the mass of a fetus which isn't exceeding 200 g at application of the equation of F.P. Hadlock has met in 48,1 % of cases and the computer program of V.N. Demidov — 64,0 % (distinction of 33,1 %). The mistake exceeding 500 g has been stated in 18 % (F.P. Hadlock) and 4,3 % (V.N. Demidov) respectively (distinction 4,2 times). Conclusions: the computer program of V.N. Demidov has high precision in determination of term of a gestation and mass of a fetus in the III pregnancy.

scholarly journals Straddle Design of Spiral Bevel and Hypoid Pinions and Gears

1991 ◽  
Vol 113 (4) ◽  
pp. 422-426 ◽  
Author(s):  
F. L. Litvin ◽  
C. Kuan ◽  
J. Kieffer ◽  
R. Bossler ◽  
R. F. Handschuh
Keyword(s):  
Free Space ◽  
Gear Tooth ◽  
Main Difficulty ◽  
Hypoid Gears ◽  
Numerical Example ◽  
Cone Apex ◽  
Spiral Bevel

The design of spiral bevel and hypoid gears that have a shaft extended from both sides of the cone apex (straddle design) is considered. A main difficulty of such a design is determining the length and diameter of the shaft that might be undercut by the head cutter during gear tooth generation. A method that determines the free space available for the gear shaft is proposed. The approach avoids collision between the shaft being designed and the head cutter during tooth generation. The approach is illustrated with a numerical example.

Duplex Spread Blade Method for Cutting Hypoid Gears with Modified Tooth Surface

1998 ◽  
Vol 120 (3) ◽  
pp. 441-447 ◽  
Author(s):  
K. Kawasaki ◽  
H. Tamura
Keyword(s):  
Cutting Edge ◽  
Tooth Surface ◽  
Radius Of Curvature ◽  
Large Radius ◽  
Ring Gear ◽  
Circular Arc ◽  
Hypoid Gears ◽  
Manufacturing Method ◽  
Straight Line

In this paper, a duplex spread blade method for cutting hypoid gears with modified tooth surface is proposed. The duplex spread blade method provides a rapid and economical manufacturing method because both the ring gear and pinion are cut by a spread blade method. In the proposed method, the nongenerated ring gear is manufactured with cutting edge that is altered from the usual straight line to a circular arc with a large radius of curvature and the circular arc cutting edge produces a modified tooth surface. The pinion is generated by a cutter with straight cutting edges as usual. The main procedure of this method is the determination of the cutter specifications and machine settings. The proposed method was validated by gear manufacture.

scholarly journals Necessary auxiliary background for efficient use of an existing computer program of non-parametric fitting of nonlinear equations

2009 ◽  
Vol 52 (2) ◽  
pp. 437-448 ◽  
Author(s):  
Emmanuel M. Papamichael ◽  
Leonidas G. Theodorou
Keyword(s):  
Experimental Data ◽  
Computer Program ◽  
Nonlinear Equations ◽  
Significant Contribution ◽  
Chemical Processes ◽  
Programming Support ◽  
Parametric Fitting ◽  
Non Parametric

This work constituted a significant contribution for more efficient use of a valuable computer program of non-parametric fitting of nonlinear multiparametric equations to experimental data. However, prerequisite in this context was the transformation of nonlinear multiparametric equations into linear hyperplane forms before their incorporation within the computer program; this latter was decisive and a matter of proper programming practice. Herein, a series of widely used equations useful in different fields of chemical processes, in biochemistry and/or in biotechnology, along with their suitable transformations as well as the appropriate programming support are being reported.

scholarly journals Digital processing of leaf area of soybeans, subjected to different treatments of seeds

2020 ◽  
Vol 13 (3) ◽  
pp. 24
Author(s):  
M. L. V. Passos ◽  
J. B. C. Souza ◽  
E. A. Silva ◽  
C. A. A. C. Silva ◽  
W. S. Sousa ◽  
...  
Keyword(s):  
Image Processing ◽  
Computer Program ◽  
Leaf Area ◽  
Seed Treatment ◽  
Digital Camera ◽  
Digital Processing ◽  
Thiophanate Methyl ◽  
Beneficial Effects ◽  
Non Destructive

Digital image processing, when applied to the study of leaf area, allows the integration of the direct measurement and non-destructive, and thus preserves the integrity of the plant. The objective was the quantification of the leaf area of soybean, cv. FTS Paragominas RR, submitted to different treatments of seed with the use of the computer program ImageJ, and basic presuppositions of image processing. The experiment was conducted at the Center of Agrarian Sciences and Environmental, Federal University of Maranhão, in Chapadinha (MA), in the period from February to June 2018. The seeds of soybean 'Paragominas RR' were submitted to the technique of seed treatment, consisting of three fungicides of the active ingredients, thiophanate methyl + fluazinam, fludioxonil and carbendazim + tiram, an insecticide active ingredient fipronil and the control. The leaf area was analyzed in the growth phase, through the use of digital camera and ImageJ®. The use of the routines in the computer program ImageJ® were effective for the determination of leaf area of the soybean submitted to different treatments of the seed. The thiophanate methyl + fluazinam in the dose 200 mL per 100 kg of seeds showed beneficial effects on growth of the cv. FTS Paragominas RR, as estimated by the leaf area.

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