# Direct calculation of AGMA geometry factor J by making use of polynomial equations

2002-07-01
The available sources and procedures for determination of AGMA geometry factor J are tables, charts and semi-analytical methods. When computerized gear design is considered, usage of tables requires a number of interpolations; usage of charts requires curve fitting; and usage of semi-analytical methods needs a numerical algorithm and may have convergence problems. As an alternative to these, polynomial equations for direct calculation of AGMA geometry factor J are derived for external spur gears. Thus, it is made possible to evaluate the J factor easily and with minimum process time. J factors are determined being independent of the highest point of single tooth contact (HPSTC). Derived equations can be used to calculate the tooth root stresses corresponding to loads acting on any point on the involute tooth profile. Thus, cases where the center distance is increased for providing backlash or for operating the gears at a desired exact center distance can easily be handled by determining the corresponding new HPSTC. A computer program is developed to demonstrate the usage of the derived equations. The method can also be used for determination of the J factors for gears with non-standard proportions.
MECHANICS RESEARCH COMMUNICATIONS

# Suggestions

 Differential Attacks on Lightweight Block Ciphers PRESENT, PRIDE, and RECTANGLE Revisited Tezcan, Cihangir; Senol, Asuman; Dogan, Erol; Yucebas, Furkan; Baykal, Nazife (2016-09-21) Differential distribution and linear approximation tables are the main security criteria for S-box designers. However, there are other S-box properties that, if overlooked by cryptanalysts, can result in erroneous results in theoretical attacks. In this paper we focus on two such properties, namely undisturbed bits and differential factors. We go on to identify several inconsistencies in published attacks against the lightweight block ciphers PRESENT, PRIDE, and RECTANGLE and present our corrections.
 ON GENERALIZED LOCAL SYMMETRIES OF THE SO(2,1) INVARIANT NONLINEAR SIGMA-MODEL BASKAL, S; ERIS, A; SATIR, A (1994-12-19) The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1+1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.
 On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
 Hilbert functions of gorenstein monomial curves Topaloğlu Mete, Pınar; Arslan, Sefa Feza; Department of Mathematics (2005) The aim of this thesis is to study the Hilbert function of a one-dimensional Gorenstein local ring of embedding dimension four in the case of monomial curves. We show that the Hilbert function is non-decreasing for some families of Gorenstein monomial curves in affine 4-space. In order to prove this result, under some arithmetic assumptions on generators of the defining ideal, we determine the minimal generators of their tangent cones by using the standard basis and check the Cohen-Macaulayness of them. Lat...
 Optimization of the array geometry for direction finding Özaydın, Seval; Koç, Seyit Sencer; Tanık, Yalçın; Department of Electrical and Electronics Engineering (2003) In this thesis, optimization of the geometry of non-uniform arrays for direction finding yielding unambiguous results is studied. A measure of similarity between the array response vectors is defined. In this measure, the effects of antenna array geometry, source placements and antenna gains are included as variable parameters. Then, assuming that the antenna gains are known and constant, constraints on the similarity function are developed and described to result in unambiguous configurations and maximum r...
Citation Formats
M. A. S. Arıkan, “Direct calculation of AGMA geometry factor J by making use of polynomial equations,” MECHANICS RESEARCH COMMUNICATIONS, pp. 257–268, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40668. 