Determination of AGMA Geometry Factor J for Slotted External Spur Gears

1983 ◽  
Vol 105 (3) ◽  
pp. 305-311
Author(s):  
Y. P. Singh
Keyword(s):  
Direct Method ◽  
Mining Industry ◽  
Spur Gears ◽  
Input Output ◽  
Typical Application ◽  
Geometry Factor ◽  
Newton Raphson ◽  
A Direct Method ◽  
Raphson Method

This paper presents a direct method for determining the geometry factor J for slotted external spur gears. The location of maximum stressed point on the tooth profile where the stress parabola is tangent to the fillet curve has been determined by solving the resulting nonlinear equations using the sophisticated Newton-Raphson method. The semi-graphical procedure given in AGMA Standard [1] is not convenient for determining the geometry factory J of large gears used in grinding mill and kiln drives in the mining industry. Listing of the computer program and input-output point out for a typical application are presented.

Determination of the Force Constants of Non-linear XY2 Molecules in the Gas-Phase by the GF Matrix Method

2004 ◽  
Vol 59 (9) ◽  
pp. 621-622 ◽  
Author(s):  
Fatih Ucun ◽  
Vesile Gūçlü
Keyword(s):  
Gas Phase ◽  
Condensed Phase ◽  
Matrix Method ◽  
Solid Phase ◽  
Force Constants ◽  
Matrix Solution ◽  
The Matrix ◽  
Newton Raphson ◽  
Raphson Method

The force constants of the internal coordinates of nonlinear XY2 molecules in the gas-phase were calculated by using the GF matrix method. The matrix solution was carried out by means a computer program built relative to the Newton-Raphson method and the calculations were listed in a table. The force constants of some molecules in the liquidand solid- phase were also found and compared with these ones, and it was seen that the force constants for more condensed phase are lower as in an agreement with having its lower frequency.

Determination of probabilistic characteristics of random values of estimates of the Lyapunov function when describing a physical process

Metrologiya ◽  
2021 ◽  
pp. 53-67
Author(s):  
Yu. M. Veshkurtsev ◽  
D. A. Titov
Keyword(s):  
Lyapunov Function ◽  
Characteristic Function ◽  
Direct Method ◽  
Special Device ◽  
Transmission Errors ◽  
Matlab Package ◽  
Normal Law ◽  
First Time ◽  
A Direct Method

The applied application of the Lyapunov characteristic function is determined by the properties of its estimates. Probabilistic characteristics of estimates of the Lyapunov characteristic function are described for the first time. The probabilistic characteristics of random values of estimates of the Lyapunov function are empirically estimated using statistical methods. The Matlab package has developed a model of a special device for obtaining estimates of the characteristic function by a direct method. A quasi-deterministic signal is fed to the input of the model, the instantaneous values of which are distributed according to the arcsine law, and an array of values of estimates of the Lyapunov function is obtained at the output, which is used to estimate the probabilistic characteristics of these estimates. Statistical estimation was performed by an indirect method. It is established that the values of the estimates of the Lyapunov characteristic function are distributed according to the normal law. The results of the research will be useful in engineering calculations, for example, when detecting message transmission errors in modems with a modulated characteristic function.

A Reconsideration of the Geometry Factor for the Standard and Profile Shifted Teeth

1989 ◽  
Vol 111 (3) ◽  
pp. 402-413 ◽  
Author(s):  
J. H. Kuang ◽  
Y. T. Yang
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Stress Concentration Factor ◽  
Empirical Equation ◽  
Design Parameters ◽  
Spur Gears ◽  
Geometry Factor ◽  
Gear Teeth ◽  
Semi Empirical

A semi-empirical equation for the determination of the stress concentration factor for spur gears is introduced. The effects of some design parameters such as fillet radii of rack cutters, teeth number, and profile shifting factor, on the stress distribution at the fillets of gear teeth are investigated. Values of the modified geometry factors for the standard and profile shifted teeth are also derived. It is hoped that the present investigation may yield a more accurate prediction of the localized stresses at tooth fillets than the results thus far available.

A direct method for the determination of the HCO3-concentration as total carbon dioxide in blood and plasma

1966 ◽  
Vol 14 (6) ◽  
pp. 760-766 ◽  
Author(s):  
P. Rispens ◽  
O.W. Van Assendelft ◽  
J.R. Brunsting ◽  
W.G. Zijlstra ◽  
E.J. Van Kampen
Keyword(s):  
Carbon Dioxide ◽  
Direct Method ◽  
Total Carbon ◽  
A Direct Method

scholarly journals On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator

1977 ◽  
Vol 20 (1) ◽  
pp. 97-105 ◽  
Author(s):  
P. G. L. Leach
Keyword(s):  
Direct Method ◽  
Dynamical Symmetry ◽  
Time Dependent ◽  
Symmetry Groups ◽  
New Approach ◽  
One Dimensional ◽  
The One ◽  
A Direct Method ◽  
Exact Invariant

AbstractAn exact invariant is found for the one-dimensional oscillator with equation of motion . The method used is that of linear canonical transformations with time-dependent coeffcients. This is a new approach to the problem and has the advantage of simplicity. When f(t) and g(t) are zero, the invariant is related to the well-known Lewis invariant. The significance of extension to higher dimension of these results is indicated, in particular for the existence of non-invariance dynamical symmetry groups.

Determination of the photoelectron emission probability with inclined X-ray Laue diffraction

1986 ◽  
Vol 42 (1) ◽  
pp. 24-29 ◽  
Author(s):  
A. M. Afanas'ev ◽  
R. M. Imamov ◽  
E. Kh. Mukhamedzhanov ◽  
A. N. Chuzo
Keyword(s):  
Angular Dependence ◽  
Direct Method ◽  
Simple Relation ◽  
Photoelectron Emission ◽  
Laue Diffraction ◽  
X Ray ◽  
Different Depths ◽  
First Time ◽  
A Direct Method

A simple relation has been established between the Fourier component of the probability density P(z) of photoelectron emission from different depths of a crystal and the angular dependence of the emission of photoelectrons formed in inclined X-ray Laue diffraction, which for the first time permitted the use of a direct method for the reconstruction of the P(z) function. Accurate measurements of the angular dependence of photoelectron emission were carried out on a silicon single crystal with diffraction of Cu Kα radiation for different energy ranges. Photoelectrons were recorded by a proportional gas counter specially designed for the energy analysis of photoelectrons under inclined Laue diffraction conditions. The laws predicted by the theory have been fully confirmed, and the corresponding P(z) functions have been obtained.

A direct method for determination of membrane electron density profiles on an absolute scale

Nature ◽  
1978 ◽  
Vol 276 (5687) ◽  
pp. 530-532 ◽  
Author(s):  
N. P. FRANKS ◽  
T. ARUNACHALAM ◽  
E. CASPI
Keyword(s):  
Electron Density ◽  
Direct Method ◽  
Density Profiles ◽  
Absolute Scale ◽  
Electron Density Profiles ◽  
A Direct Method
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