An Evaluation of Stresses and Deflection of Spur Gear Teeth Under Strain

1974 ◽  
Vol 96 (1) ◽  
pp. 85-93 ◽  
Author(s):  
G. Chabert ◽  
T. Dang Tran ◽  
R. Mathis
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Static Load ◽  
Simple Calculation ◽  
Spur Gear ◽  
Spur Gears ◽  
The Finite Element Method ◽  
Gear Teeth ◽  
Pressure Angle ◽  
Maximum Stresses

This paper aims at an evaluation of the stresses induced by a static load applied to gear teeth. For spur gears of different ratios with 20-deg pressure angle and standard addendum proportions, the stresses and deflections are computed by the finite element method. Formulas are drawn allowing a simple calculation of the maximum stresses, and the results are compared with what is given by ISO and AGMA standards related to the strength of gear teeth.

Evaluation of Gear Tooth Stresses by Finite Element Method

1995 ◽  
Vol 117 (2) ◽  
pp. 232-239 ◽  
Author(s):  
I. Huseyin Filiz ◽  
O. Eyercioglu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Program ◽  
Static Load ◽  
Gear Tooth ◽  
Spur Gear ◽  
The Finite Element Method ◽  
Contact Ratio ◽  
Pressure Angle ◽  
Element Method

Stresses developed in the root fillet of the spur gear tooth due to static load are evaluated by using the finite element method. The method is automated with a computer program with which the effects of module, contact ratio, fillet radius, pressure angle and teeth numbers of driving and driven gears are evaluated. The results are compared with previous studies. The formula which gives the closest results to this study is presented.

Evaluation of spur gear mesh compliance using the finite element method

1999 ◽  
Vol 213 (6) ◽  
pp. 569-579 ◽  
Author(s):  
M H Arafa ◽  
M M Megahed
Keyword(s):  
Finite Element ◽  
Experimental Methods ◽  
Spur Gear ◽  
Spur Gears ◽  
The Finite Element Method ◽  
Mesh Stiffness ◽  
Fe Modelling ◽  
Gear Teeth ◽  
Gear Mesh ◽  
Gear Mesh Stiffness

This paper presents a finite element (FE) modelling technique to evaluate the mesh compliance of spur gears. Contact between the engaging teeth is simulated through the use of gap elements. Analysis is performed on several gear combinations and the variation in tooth compliance along the contact location is presented in a non-dimensional form. Results are compared with earlier predictions based on analytical, numerical and experimental methods. Load sharing among the mating gear teeth is discussed, and the overall gear mesh stiffness together with its cyclic variation along the path of contact is evaluated.

A General Approach for Determining Dynamic Forces in Spur Gears

1998 ◽  
Vol 120 (4) ◽  
pp. 593-598 ◽  
Author(s):  
L. Vedmar ◽  
B. Henriksson
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Comparative Study ◽  
Spur Gears ◽  
Elastic Coupling ◽  
The Finite Element Method ◽  
Gear Teeth ◽  
Contact Points ◽  
Dynamic Forces ◽  
The Common

A model is presented taking into account off line-of-action, non-linear wheel stiffness by using the finite element method, and elasticity coupling between the gear teeth. The contact points are determined by searching the common normal using the undeformed, but otherwise true theoretical, tooth shapes where the teeth have a tip rounding to prevent contact singularity in off line-of-action points. A comparative study is included, which shows the important influence of the elastic coupling and off line-of-action.

scholarly journals Numerical Simulation of Stresses in Thin-rimmed Spur Gears with Keyway

10.14311/480 ◽  
2003 ◽  
Vol 43 (5) ◽  
Author(s):  
B. Brůžek ◽  
E. Leidich
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Mutual Influence ◽  
Notch Root ◽  
Spur Gear ◽  
Fe Analysis ◽  
Spur Gears ◽  
The Finite Element Method ◽  
2D And 3D

This paper contains an investigation of the key on a stress distribution in a thin-rimmed spur gear. A stress analysis was carried out by means of the Finite Element Method (FEM). The 2D-FE analysis has helped to find the influence of turning the gearing towards the keyway on the stress in the loaded root of the tooth and in the keyway. 2D and 3D numerical analysis has been used to find mutual influence of every single notch (root of tooth and keyway), influence of thickness of the hub, length of the key and the form of loading. Verification has been carried out through experimental method.

Finite element analysis of a cylindrical approach for shrink-fit precision gear forging dies

2003 ◽  
Vol 217 (6) ◽  
pp. 677-685 ◽  
Author(s):  
M A Kutuk ◽  
O Eyercioglu ◽  
N Yildirim ◽  
A Akpolat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Approach ◽  
Thick Wall ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Gear Teeth ◽  
Methods Analytical ◽  
Shrink Fit ◽  
Element Method

The design of shrink-fit precision gear forging dies based on strength considerations using an analytical (thick-wall cylinders) approach and the finite element method are compared. While the two methods, analytical and finite element, agree well for the dies with no irregularities (gear teeth), the finite element method predicts much higher stress values than those of the analytical approach for the dies with gear teeth. These high stresses are considerably reduced by reoptimizing the geometric parameters, such as the interference between the die and the ring.

Deformation and Stiffness of Spur Gearing Solved by FEM

2014 ◽  
Vol 611 ◽  
pp. 194-197 ◽  
Author(s):  
Miroslav Malák
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Methods ◽  
Computer Technology ◽  
Spur Gears ◽  
Gear Teeth ◽  
Element Method

Gear teeth are deformed due to the load. Recently, at ever faster evolving computer technology and the available literature, we can encounter modern numerical methods, such as finite element method (FEM), which can serve as methods for the determination of deflection gearing. This paper deals with stiffness and deformation of teeth of spur gears solution by finite element method.

scholarly journals Influence of the Shape of Gear Wheel Bodies in Marine Engines on the Gearing Deformation and Meshing Stiffness

2021 ◽  
Vol 9 (10) ◽  
pp. 1060
Author(s):  
Silvia Maláková ◽  
Michal Puškár ◽  
Peter Frankovský ◽  
Samuel Sivák ◽  
Daniela Harachová
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Load Capacity ◽  
Gear Wheel ◽  
Spur Gear ◽  
The Finite Element Method ◽  
Meshing Stiffness ◽  
Marine Engines ◽  
The Individual ◽  
Body Parameters

The basic properties of gears must be considered: the shape of their gearing, their load capacity, and the meshing stiffness, which affects the noise and vibration. When designing large gears, it is important to choose the correct shape of the gear body. Large gears used in marine gearboxes must be designed with as little weight as possible. The requirements of sufficient stiffness of the gear wheel body, as well as the meshing stiffness, must be met. This paper is devoted to the influence of spur gear wheel body parameters on gearing deformation and meshing stiffness. The stiffness of the gear is solved on the basis of the deformation of the gearing teeth, which is determined by the finite element method. Examples of the simulation and subsequent processing of results demonstrates how the individual parameters of the gear wheel body influence the stiffness of the gearing teeth. At the same time, the results point to designs of suitable shape and dimensions to achieve the required stiffness of the gearing teeth, but with the lowest possible weight of the spur gear wheel body.

scholarly journals Finite Element Analysis of a Spur Gear Considering Mass Relief Strategies

2021 ◽  
Vol 31 (2) ◽  
pp. 36-49
Author(s):  
Lauro Miguel Lima Rocha ◽  
Marco Túlio Santana Alves
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Local Stress ◽  
Spur Gear ◽  
Spur Gears ◽  
Element Analysis ◽  
The Core ◽  
Core Thickness ◽  
Structural Influence ◽  
Maximum Stresses

This paper deals with analyzing the structural influence of mass reliefs in spur gears. For this purpose, a system composed of pinion and a gear was designed, such that for gear several geometries were designed with different reliefs shapes and soul thicknesses. From the proposed geometries, finite element analysis (FEA) was performed, and the tooth stresses of each model were compared with the solid gear. From the results, it was observed that the tooth stresses are reduced in some cases. Besides, from the aforementioned cases, it is possible to observe that the maximum stresses may take place in its core instead of the teeth (rim area). On the other hand, based on other cases, the core thickness plays an important role as a criterion that defines the local stress.

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