scholarly journals Bending Stress and Deflection Analysis of Meshing Spur Gear Tooth during the Single Tooth Contact with Finite Element Method and Determination of the Bending Stiffness

2017 ◽  
Vol 10 (2) ◽  
pp. 540-550 ◽  
Author(s):  
Antonios D. Tsolakis ◽  
Konstantinos G. Raptis ◽  
Maria D. Margaritou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Gear Tooth ◽  
Spur Gear ◽  
Bending Stiffness ◽  
Bending Stress ◽  
Tooth Contact ◽  
Single Tooth ◽  
Deflection Analysis

Finite Element Simulation of Bending Stress on Involute Spur Gear Tooth Profiles

2017 ◽  
Vol 30 ◽  
pp. 1-10
Author(s):  
Kolawole Adesola Oladejo ◽  
Dare Aderibigbe Adetan ◽  
Ayobami Samuel Ajayi ◽  
Oluwasanmi Oluwagbenga Aderinola
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Gear Tooth ◽  
Spur Gear ◽  
Bending Stress ◽  
Relative Deviation ◽  
Element Simulation ◽  
Maximum Relative Deviation ◽  
Bending Stresses ◽  
Good Agreement

This study investigated bending stress distribution on involute spur gear tooth profiles with pressure angle of 20 ̊ but different modules 2.5, 4.0 and 6.0 mm, using a finite-element-based simulation package - AutoFEA JL Analyzer. The drafting of the geometry for the three gear tooth profiles were implemented on the platform of VB-AutoCAD customized environment, before importing to the package. These were separately subjected to analysis for bending stresses for a point at the tooth fillet region with appropriate settings of material property, load and boundary conditions. With the same settings, the bending stresses were computed analytically using American Gear Manufacturers Association (AGMA) established equation. The results of the two approaches were in good agreement, with maximum relative deviation of 4.38%. This informed the confidence in the implementation of the package to investigate the variation of bending stress within the gear tooth profile. The simulation revealed decrease in the bending stresses at the investigated regions with increase in the module of the involute spur-gear. The study confirms that Finite element simulation of stresses on gear tooth can be obtained accurately and quickly with the AutoFEA JL Analyzer.

scholarly journals Effects of Rim Thickness on Spur Gear Bending Stress

1994 ◽  
Vol 116 (4) ◽  
pp. 1157-1162 ◽  
Author(s):  
G. D. Bibel ◽  
S. K. Reddy ◽  
M. Savage ◽  
R. F. Handschuh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
High Power ◽  
Design Parameter ◽  
Gear Tooth ◽  
Spur Gear ◽  
Bending Stress ◽  
Element Analysis ◽  
Bending Stresses

Thin rim gears find application in high-power, lightweight aircraft transmissions. Bending stresses in thin rim spur gear tooth fillets and root areas differ from the stresses in solid gears due to rim deformations. Rim thickness is a significant design parameter for these gears. To study this parameter, a finite element analysis was conducted on a segment of a thin rim gear. The rim thickness was varied and the location and magnitude of the maximum bending stresses reported. Design limits are discussed and compared with the results of other researchers.

scholarly journals Frictional Tooth Contact Analysis along Line of Action of a Spur Gear Using Finite Element Method

2014 ◽  
Vol 5 ◽  
pp. 1801-1809 ◽  
Author(s):  
Santosh Patil ◽  
Saravanan Karuppanan ◽  
Ivana Atanasovska ◽  
Azmi A. Wahab
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Spur Gear ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Element Method

Finite element method analysis of a spur gear with a corrected profile

2007 ◽  
Vol 42 (5) ◽  
pp. 281-292 ◽  
Author(s):  
A Pasta ◽  
G Virzí Mariotti
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Element Model ◽  
Spur Gear ◽  
Material Strength ◽  
Mechanical Resistance ◽  
Spur Gears ◽  
The Difference ◽  
Element Method

The difference between the stress value calculated by a two-dimensional finite element model of spur gears and those obtained by the rules in ISO 6336 was evaluated. Hertz theory, which provides information on the extension of the contact area and the maximum value of the contact pressure, was used to choose the dimensions of the elements. The mesh was created using the stress analytical solution relative to a model consisting of two cylinders in contact. Analogous optimization was executed for the mesh of the teeth feet; a mesh of 15 elements was considered optimum, because it minimized the difference to 0.5 per cent in the bending stress calculation. Stress values, obtained using the finite element method (FEM), are generally lower than those obtained with the ISO rules. Hence, this approach yields a conservative determination of the effective material strength. In all the examined cases, the difference was less than 2.5 per cent. The set FEM technique gives a result accuracy of better than 1 per cent; the difference between the stress obtained by FEM and those obtained by ISO 6336 is less than 2.5 per cent, so that the FEM confirmed, consistent with the ISO rules, that correction of the profile results in significant benefits with respect to determination of the mechanical resistance of spur gears.

Finite Element Analysis on Bending Stress of Generating Spur Bevel Gear Based on ANSYS

2012 ◽  
Vol 490-495 ◽  
pp. 2546-2549
Author(s):  
De Li Cui ◽  
Yi Tong Li ◽  
Hong Zhuang Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Design Theory ◽  
Data Exchange ◽  
Gear Tooth ◽  
Bevel Gear ◽  
Bending Stress ◽  
Element Analysis ◽  
Element Method

The meshing generating spur bevel gear is presented by the method for precise modeling of gear in software Catia. Then by the excellent data exchange interface between Catia and ANSYS, the model can be transferred into ANSYS and bending stress of the gear tooth is calculated with finite element method ( FEM),which proposed design theory basis of generating spur bevel gear.

Prediction and Experimental Correlation of Tooth Root Strains in Spur Gear Pairs

2015 ◽  
Author(s):  
Xiang Dai ◽  
Christopher G. Cooley ◽  
Robert G. Parker
Keyword(s):  
Finite Element ◽  
Contact Mechanics ◽  
Gear Tooth ◽  
Strain Curve ◽  
Spur Gear ◽  
Tooth Root ◽  
Contact Conditions ◽  
Tooth Contact ◽  
Mechanics Model ◽  
Large Amplitude Vibration

Spur gear tooth root strains are calculated using a finite element/contact mechanics formulation for varying gear speeds and applied torques. Extensive comparisons with experiments, including those from the literature and new ones, confirm that the finite element/contact mechanics formulation accurately predicts the quasi-static and dynamic tooth root strains. The finite element/contact mechanics model is used to investigate the features of the tooth root strain curves as the gears rotate kinematically and the tooth contact conditions change. Tooth profile modifications are shown to strongly affect the shape of the strain curve. At non-resonant speeds the dynamic tooth root strain curves have similar shapes as the quasi-static strain curves. At resonant speeds, however, the dynamic tooth root strain curves are drastically different because large amplitude vibration causes tooth contact loss.

L-Spline Finite Elements

2005 ◽  
Author(s):  
C. C. Richter ◽  
G. R. Heppler
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
A Priori ◽  
Method Performance ◽  
Spline Finite Element ◽  
Deflection Analysis ◽  
Definition Of ◽  
Element Method ◽  
Spline Finite Element Method

The L-spline finite element method is applied to the static deflection analysis and linear vibration analysis of curved Euler-Bernoulli and Timoshenko beams. A formal definition of membrane locking is presented along with a simple test that allows a priori determination of an L-spline finite element models susceptibility to locking. Formulations for both types of beam models, that under certain discretizations experience locking are presented. Examples that demonstrate the efficacy of the locking test and illustrate the L-spline finite element method performance are included.

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