scholarly journals Determination of the elastic displacements in plain strained condition of involute cylindrical gears with asymmetric profile

2021 ◽  
Author(s):  
Genadi Cvetanov ◽  
Tsanko Karadzhov ◽  
Rosica Miteva
Keyword(s):  
Cylindrical Gears ◽  
Strained Condition

Reliable Detection of Periodic Micro Structures on Open Surfaces

2008 ◽  
Vol 381-382 ◽  
pp. 15-18 ◽  
Author(s):  
Frank Härtig ◽  
Michael Paul Krystek ◽  
S. Klein
Keyword(s):  
Reliable Determination ◽  
Cylindrical Gears ◽  
Reliable Detection ◽  
Micro Structures

The reliable determination of periodic micro structures on open surfaces as they exist on involute tooth flanks gain of increasing importance. They allow conclusions from the waviness of the gear surface to the wear and running noise in gears. With the aim of determining traceable wave structures, a method has been developed at the Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig by which it is possible to model, realise and, especially, reliably evaluate wave-shaped structures on the flank surfaces of involute cylindrical gears.

DETERMINATION OF ADDITIONAL DISPLACEMENT FACTORS OF THE INITIAL CONTOUR OF GEAR WHEELS WITH THE HELP OF BLOCKING CONTOURS

2020 ◽  
pp. 32-36
Author(s):  
B. P. Timofeev ◽  
N. T. Dang
Keyword(s):  
Multicriteria Optimization ◽  
Initial Contour ◽  
Spur Gears ◽  
Cylindrical Gears ◽  
Gear Wheels

Analyzed the method of calculating the bias coefficients by the method of multicriteria optimization of the engagement (blocking contour) using the KOMPAS-3D program. Analyzed methods for assigning an additional offset of the original contour. The recommendations on the choice of displacement coefficients of spur gears of cylindrical gears in Appendix 2 of GOST 16532–70 are analyzed and additional recommendations are offered to them.

scholarly journals Analytical and FE Determination of the Change of Single Stiffness for Cylindrical Gears with External Involute Teeth

2020 ◽  
Vol 64 (4) ◽  
pp. 289-298
Author(s):  
Dániel Debreczeni ◽  
Gabriella Bognár
Keyword(s):  
Load Capacity ◽  
Applied Pressure ◽  
Analytical Calculation ◽  
Tool Geometry ◽  
Calculation Methods ◽  
Mesh Stiffness ◽  
Cylindrical Gears ◽  
Tooth Number ◽  
The Impact

The calculation of mesh stiffness with required accuracy is essential for determining the contact characteristics of gear pairs. The easiest approximation of the relative stiffness for the basic profile geometries is the so-called single stiffness. Standardized and analytical methods for the determination of the single and mesh stiffness of gears are used to achieve design goals considering the load capacity and the vibration excitation characteristics. Such methods involve the formulas of ISO 6336-1:2006 based on experimental relationships and the equations of Weber and Banaschek based on mechanical calculations. In this paper, guidelines are given to refine the analytical calculations. Our goal is to present the impact of the change of the applied pressure angle, module, load, rim thickness and tooth number on the maximal single stiffness. The profile geometry of the gears is generated with our program in MATLAB. The profile of gears is calculated by the tool geometry and the kinematics of production. The geometry is imported into Abaqus. The sensitivity of the models to different parameters is examined and compared to those obtained by analytical calculations. The benchmarks for the single stiffness are the two most widely used analytical calculation methods in Europe such as ISO 6336-1:2006 formulas and Weber and Banaschek equations.

scholarly journals Investigation of the Nominal Tooth Root Stress for External, Cylindrical Gears with Symmetric and Asymmetric Profile

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Bending Strength ◽  
Critical Cross Section ◽  
Tooth Root ◽  
Gear Design ◽  
Cylindrical Gears ◽  
Basic Issue ◽  
Root Stress

The determination of tooth bending strength is a basic issue in gear design. This work presents the change of nominal tooth root stress of external toothed, cylindrical gears depending on the geometry used. The nominal tooth root stress is analyzed with using finite element simulations. The numerical calculations are executed in Abaqus. The imported geometries are produced by our own program in MATLAB. The boundary conditions to the models are defined accordance with the most significant analytical methods used in practice. This approach allows mapping direct correlation analysis by these calculations. The optimization of computational capacity used is also considered. In addition to the examination of the significant tooth stress value of symmetrical element pairs, the position of the critical cross-section is also analyzed. The effect of the asymmetric design of the tooth profile on the nominal tooth root stress is also presented in our investigations. The purpose of the numerical simulations carried out here is to determine the effect of the coast side angle on the magnitude of the significant tooth root stress and the position of the critical cross-section.

Galactic orbits of stars

1966 ◽  
Vol 25 ◽  
pp. 93-97
Author(s):  
Richard Woolley
Keyword(s):  
Globular Cluster ◽  
Potential Field ◽  
High Velocity ◽  
Velocity Vector ◽  
Variable Stars ◽  
The Sun ◽  
Proper Motions ◽  
Rr Lyrae ◽  
The Galaxy

It is now possible to determine proper motions of high-velocity objects in such a way as to obtain with some accuracy the velocity vector relevant to the Sun. If a potential field of the Galaxy is assumed, one can compute an actual orbit. A determination of the velocity of the globular clusterωCentauri has recently been completed at Greenwich, and it is found that the orbit is strongly retrograde in the Galaxy. Similar calculations may be made, though with less certainty, in the case of RR Lyrae variable stars.

Distance to SN 1987A and the LMC

1999 ◽  
Vol 190 ◽  
pp. 549-554
Author(s):  
Nino Panagia
Keyword(s):  
Angular Size ◽  
Large Magellanic Cloud ◽  
Magellanic Cloud ◽  
Light Curves ◽  
Distance Modulus ◽  
Absolute Size ◽  
Sn 1987A

Using the new reductions of the IUE light curves by Sonneborn et al. (1997) and an extensive set of HST images of SN 1987A we have repeated and improved Panagia et al. (1991) analysis to obtain a better determination of the distance to the supernova. In this way we have derived an absolute size of the ringRabs= (6.23 ± 0.08) x 1017cm and an angular sizeR″ = 808 ± 17 mas, which give a distance to the supernovad(SN1987A) = 51.4 ± 1.2 kpc and a distance modulusm–M(SN1987A) = 18.55 ± 0.05. Allowing for a displacement of SN 1987A position relative to the LMC center, the distance to the barycenter of the Large Magellanic Cloud is also estimated to bed(LMC) = 52.0±1.3 kpc, which corresponds to a distance modulus ofm–M(LMC) = 18.58±0.05.

International determination of the total motion of the pole

1961 ◽  
Vol 13 ◽  
pp. 29-41
Author(s):  
Wm. Markowitz
Keyword(s):  
Secular Motion ◽  
The Future

A symposium on the future of the International Latitude Service (I. L. S.) is to be held in Helsinki in July 1960. My report for the symposium consists of two parts. Part I, denoded (Mk I) was published [1] earlier in 1960 under the title “Latitude and Longitude, and the Secular Motion of the Pole”. Part II is the present paper, denoded (Mk II).

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