A Finite Element Model for Consideration of the Torsional Effect on the Bearing Contact of Gear Drives

2012 ◽  
Vol 134 (7) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Victor Roda-Casanova ◽  
Alfonso Fuentes ◽  
Francisco T. Sanchez-Marin ◽  
Jose L. Iserte
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Gear Tooth ◽  
Element Model ◽  
Element Analysis ◽  
Bearing Contact ◽  
Torque Transmission ◽  
Tooth Surfaces ◽  
Bending Stresses ◽  
Gear Drives

The finite element method is widely applied for the determination of contact and bending stresses in gear drives. It is based on the finite element model of the gear drive that is built by the discretization of the pinion and gear teeth and usually does not take into account the supporting components of the gears, as shafts, their bearings, or the gear case. Such components have an important influence in the formation of the bearing contact due to their deformations under load. Recently, some improved models have been proposed for finite element analysis of gear drives including their shafts. Those models have allowed shaft deflections to be taken into account for the investigation of formation of the bearing contact under load and its influence on bending and contact stresses. In this paper, an enhanced finite element model that takes into account not only the shaft deflections but also the torsional deformation of gear tooth surfaces due to torque transmission is proposed. Some numerical examples have been included.

Implementation of a Finite Element Model for Gear Stress Analysis Based on Tie-Surface Constraints and Its Validation Through the Hertz's Theory

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes-Aznar
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Stress Analysis ◽  
Element Model ◽  
Gear Drive ◽  
Bearing Contact ◽  
Stress Maximum ◽  
Bending Stresses ◽  
Gear Drives ◽  
Surface Constraints

A new finite element model for stress analysis of gear drives is proposed. Tie-surface constraints are applied at each tooth of the gear model to obtain meshes that can be independently defined: a finer mesh at contact surfaces and fillet and a coarser mesh in the remaining part of the tooth. Tie-surface constraints are also applied for the connection of several teeth in the model. The model is validated by application of the Hertz's theory in a spiral bevel gear drive with localized bearing contact and by observation of convergency of contact and bending stresses. Maximum contact pressure, maximum Mises stress, maximum Tresca stress, maximum major principal stress, and loaded transmission errors are evaluated along two cycles of meshing. The effects of the boundary conditions that models with three, five, seven, and all the teeth of the gear drive provide on the above-mentioned variables are discussed. Several numerical examples are presented.

scholarly journals A Novel Method for Tooth Bending Stress Calculation of Gears With Asymmetric Teeth

2021 ◽  
Author(s):  
Oguz DOGAN ◽  
Celalettin YUCE ◽  
Fatih KARPAT
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Experimental Studies ◽  
Element Model ◽  
Bending Stress ◽  
Element Analysis ◽  
Stress Calculation ◽  
Bending Stresses ◽  
New Equation ◽  
Asymmetric Factor

Abstract Today, gear designs with asymmetric tooth profiles offer essential solutions in reducing tooth root stresses of gears. Although numerical, analytical, and experimental studies are carried out to calculate the bending stresses in gears with asymmetric tooth profiles a standard or a simplified equation or empirical statement has not been encountered in the literature. In this study, a novel bending stress calculation procedure for gears with asymmetric tooth profiles is developed using both the DIN3990 standard and the finite element method. The bending stresses of gears with symmetrical profile were determined by the developed finite element model and was verified by comparing the results with the DIN 3990 standard. Using the verified finite element model, by changing the drive side pressure angle between 20° and 30° and the number of teeth between 18 and 100, 66 different cases were examined and the bending stresses in gears with asymmetric profile were determined. As a result of the analysis, a new asymmetric factor was derived. By adding the obtained asymmetric factor to the DIN 3390 formula, a new equation has been derived to be used in tooth bending stresses of gears with asymmetric profile. Thanks to this equation, designers will be able to calculate tooth bending stresses with high precision in gears with asymmetric tooth profile without the need for finite element analysis.

Development and Comparison of Shaft-Gear Models for the Computation of Gear Misalignments due to Power Transmission

2011 ◽  
Author(s):  
Victor Roda-Casanova ◽  
Jose L. Iserte-Vilar ◽  
Francisco Sanchez-Marin ◽  
Alfonso Fuentes-Aznar ◽  
Ignacio Gonzalez-Perez
Keyword(s):  
Power Transmission ◽  
Gear Tooth ◽  
Beam Theory ◽  
Spur Gear ◽  
The Finite Element Method ◽  
Transmission Errors ◽  
Bearing Contact ◽  
Torque Transmission ◽  
Tooth Surfaces ◽  
Gear Drives

Gear misalignments cause transmission errors, the shift of the bearing contact and may reduce substantially the life of gears. Some gear misalignments are caused directly by shafts misalignments but others are mainly related with the torque transmission and shaft bending. Even for perfectly aligned gear drives, shaft bending due to power transmission causes the shifting of the bearing contact towards the edge of the gear tooth surfaces for those non-modified gear drives with theoretical lineal contact. In this paper, four different models (two based on the Bernoulli’s beam theory and two based on the finite element method) have been proposed for shaft and gear modeling in order to estimate misalignments of gears due to power transmission in a conventional spur gear transmission. The influence of transmitted torque, length of shafts and relative position of gears over the shafts on the errors of alignment has been investigated.

Tooth geometry and bending stress analysis of conjugate meshing face-gear pairs

2012 ◽  
Vol 227 (6) ◽  
pp. 1302-1314 ◽  
Author(s):  
Zihni B Saribay
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Gear Tooth ◽  
Spur Gear ◽  
Gear Pair ◽  
Bending Stress ◽  
Face Gear ◽  
Element Analysis ◽  
Tooth Surfaces ◽  
Bending Stresses

The conjugate meshing face-gear pairs are implemented to high shaft angle intersecting axis gears such as the pericyclic transmission system. The meshing face-gear pair tooth surfaces are generated with a mutually conjugate spur shaper. The established tooth geometry and the dimensions of the conjugate face-gear pairs are summarized in this article. Four different example face-gear pairs are generated at various shaft angles and numbers of tooth combinations. Tooth bending stresses of these face-gear pair teeth are investigated based on finite element analysis methods. In these analyses, only single pairs of teeth are investigated. These results are compared to analog the spur gear tooth bending stresses calculated by finite element analysis and standard spur gear stress formulas. Meshing face-gear pair single tooth bending stress levels show approximately 3% to 6% difference from same size spur gear tooth.

Torsional Analysis of a Steel Cord-Rubber Tire Belt Structure

1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Composite Structures ◽  
Three Dimensional ◽  
Element Model ◽  
Torsional Stiffness ◽  
Element Analysis ◽  
Rubber Belt ◽  
Steel Cord ◽  
Torsional Analysis

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.

scholarly journals Analysis for Wrinkling Behavior of Girth-Welded Line Pipe

1996 ◽  
Author(s):  
Luiz T. Souza ◽  
David W. Murray
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Element Model ◽  
Internal Pressure ◽  
Experimental Test ◽  
Element Model ◽  
Element Analysis ◽  
Line Pipe ◽  
New Era ◽  
Analytical Tools

The paper presents results for finite element analysis of full-sized girth-welded specimens of line pipe and compares these results with the behavior exhibited by test specimens subjected to constant axial force, internal pressure and monotonically increasing curvatures. Recommendations for the ‘best’ type of analytical finite element model are given. Comparisons between the behavior predicted analytically and the observed behavior of the experimental test specimens are made. The mechanism of wrinkling is explained and the evolution of the deformed configurations for different wrinkling modes is examined. It is concluded that the analytical tools now available are sufficiently reliable to predict the behavior of pipe in a manner that was not previously possible and that this should create a new era for the design and assessment of pipelines if the technology is properly exploited by industry.

Simulation of Thermo-Mechanical Models for Hot Formed Parts by Numerical Experiments

2014 ◽  
Vol 663 ◽  
pp. 668-674
Author(s):  
Azman Senin ◽  
Zulkifli Mohd Nopiah ◽  
Muhammad Jamhuri Jamaludin ◽  
Ahmad Zakaria
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Prediction Accuracy ◽  
Research Work ◽  
Deformation Characteristic ◽  
Element Model ◽  
Forming Limit ◽  
Prototype Model ◽  
New Production ◽  
Element Analysis

The Finite-Element Analysis (FEA) is a prediction methodology that facilitates product designers produced the part design with manufacturing focused. With the similar advantages, manufacturing engineers are capable of build the first actual car model from the new production Draw Die. This approach has eliminated the requirement to manufacture the prototype model from soft tool parts and soft tool press die. However, the prediction accuracy of FEA is a major topic of research work in automotive sector's practitioners and academia as current accuracy level is anticipated at 60%. The objective of works is to assess the prediction accuracy on deformation results from mass production stamped parts. The Finite-element model is developed from the CAD data of the production tools. Subsequently, finite-element model for production tools is discretized with shell elements to avoid computation errors in the simulation process. The sheet blank material with 1.5 mm and 2.0 mm thickness is discredited by shell (2D modeling) and solid elements (3D modeling) respectively. The input parameters for the simulation model for both elements are attained from the actual setup at Press Machine and Production Tool. The analysis of deformation and plastic strain are performed for various setup parameters. Finally, the deformation characteristic such as Forming Limit Diagram (FLD) and thinning are compared for all simulated models.

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