The Beam Strength of Modern Gear-Tooth Design

Kelley, B. W.; Pedersen, Ronnie

doi:10.4271/580017

Cited by 16 publications

(4 citation statements)

References 3 publications

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“…5. Regarding the stress concentration factor K f , based on the work of Dolan and Broghamer [11], AGMA sets the global minimum root radius regardless of its position relative to the tangent of the Lewis parabola, as explained by Kelly and Pederson [12].…”

Section: Standard Models and Fe Modelmentioning

confidence: 99%

Comparative analysis concerning the state of stress for involute gears using ISO, AGMA standards and Finite Element Method

Bucur

Cananau

Mirica

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Researchers must review numerous standardized criteria that determine the design of mechanical transmissions with gears in order to keep up with current developments in mechanical engineering practice. In classical design there are various standards concerning the calculation of load capacity of spur and helical gears. Both of them are further used to evaluate the state of stress due to bending of the tooth. There are many criteria for calculating the load capacity of spur and helical gears in traditional design. Both of them are also used to assess the state of stress caused by tooth bending. The purpose of this study is to compare the results of calculations using ISO and AGMA standards to those obtained using the FE approach. In this analysis, the two methods embodied in ISO and AGMA standards (ISO standards 6336-1,2,3: 2003 and AGMA Standard 2101 – D04) and FE method are used for all of the following: gear, geometry, working conditions, applied load, in static conditions of load, for helical involute gears transmission. This problem was solved with the use of Unigrafix NX and ANSYS environments and generation of results which are complaret to ISO 6336 and AGMA D04. In this paper, the helical gear is modelled using NX software and the helical gear operation is analysed using ANSYS. All results of the three procedures were compared.

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Section: Standard Models and Fe Modelmentioning

confidence: 99%

Comparative analysis concerning the state of stress for involute gears using ISO, AGMA standards and Finite Element Method

Bucur

Cananau

Mirica

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…According to the standard ISO 6336 [14], the nominal stress is calculated by using the assumption that the critical section lies at the point where a line with an inclination of 30 • to the tooth centreline touches with the fillet internally. This has a tendency to overestimate the maximum fillet stress and has the disadvantage of not considering the change of the critical section position due to the displacement of the load along the active tooth profile, as suggested by Kelley and Pedersen [15].…”

Section: Calculation Of Stresses Using Bea Concept Of Stress Tablesmentioning

confidence: 99%

Optimizing involute gear design for maximum bending strength and equivalent pitting resistance

Spitas

2007

Proceedings of the Institution of Mechanical Engineers, Part C:

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Standard involute gear designs dominate high-power transmission applications because they combine sufficient bending strength with high pitting resistance, while retaining an adequate contact ratio. In this paper, a non-standard, optimal alternative involute gear design has been presented, which has the same pitting resistance as the standard involute gears but exhibits maximum resistance to bending. The optimization procedure is based on the complex algorithm, where the root stress, as calculated through tabulated boundary element analysis values, is the objective function and the active constraints include all of the kinematical, manufacturing and geometrical conditions, which must be satisfied by the optimal design, including the pitting resistance. The results indicate that optimal designs can achieve up to 8.5 per cent reduction of the fillet stress. Two-dimensional photoelasticity was used to verify the optimization results.

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“…Since 1893, when Lewis 1 proposed that the stresses in gear tooth roots could be established by approximating their analysis as simple beams in bending, the complexity of gear stress analysis has progressed considerably into its current guise, more of which will be discussed later. Significant advances in gear research coincided with the advent of what were novel stress analysis techniques such as photoelasticity 2–7 and numerical finite element methods 8–17 which became common place in the early and late 1900s, respectively, a summary of which has already been discussed in detail by Lisle et al. 18 Arguably, the historic majority of this research concentrated on the analysis of external gears, as opposed to internal gears, the stress analysis of which is now of equal importance, especially with regards to the aerospace industry.…”

Section: Introductionmentioning

confidence: 99%

Internal spur gear root bending stress: A comparison of ISO 6336:1996, ISO 6336:2006, VDI 2737:2005, AGMA, ANSYS finite element analysis and strain gauge techniques

Lisle

Shaw

Frazer

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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The Association of German Engineers VDI 2737:2005 and the International Organisation for Standardisation ISO 6336:2006 are universally accepted analytical procedures for the analysis of internal gears. There is no official American Gear Manufacturers Association standard for internal gear stress analysis due to the validity of inscribing the Lewis parabola within internal concave profiles and the resulting errors associated with the location of maximum root bending stress. This research investigates the differences associated with using ISO 6336, VDI 2737 and an unofficial American Gear Manufacturers Association method, all of which are compared against a potentially more accurate numerical (ANSYS) method and strain gauge techniques.

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The Beam Strength of Modern Gear-Tooth Design

Cited by 16 publications

References 3 publications

Comparative analysis concerning the state of stress for involute gears using ISO, AGMA standards and Finite Element Method

Comparative analysis concerning the state of stress for involute gears using ISO, AGMA standards and Finite Element Method

Optimizing involute gear design for maximum bending strength and equivalent pitting resistance

Internal spur gear root bending stress: A comparison of ISO 6336:1996, ISO 6336:2006, VDI 2737:2005, AGMA, ANSYS finite element analysis and strain gauge techniques

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