Simple Stress Formulae for a Thin-Rimmed Spur Gear. Part 2: Tooth Fillet and Root Stress Calculation of a Thin-Rimmed Internal Spur Gear

1985 ◽  
Vol 107 (3) ◽  
pp. 412-417
Author(s):  
Tae Hyong Chong ◽  
Aizoh Kubo
Keyword(s):  
Stress State ◽  
Spur Gear ◽  
Stress Calculation ◽  
Internal Gear ◽  
Root Stress ◽  
Simple Stress

A method to apply the approximation formulae [1] for tooth fillet and root stresses of a thin-rimmed spur gear to the calculation of stress state of an internal spur gear is introduced, for the case of an internal spur gear which is fixed by bolts and/or supported by pinned coupling similar to geared coupling. By this method, reliable stress state at tooth fillet and root areas in the whole internal gear can be easily calculated.

Simple Stress Formulae for a Thin-Rimmed Spur Gear. Part 3: Examination of the Calculation Method and Stress State of Internal Spur Gear

1985 ◽  
Vol 107 (3) ◽  
pp. 418-422 ◽  
Author(s):  
Tae Hyong Chong ◽  
A. Kubo
Keyword(s):  
Stress State ◽  
Calculation Method ◽  
Simple Calculation ◽  
Spur Gear ◽  
The Difference ◽  
Internal Gear ◽  
Simple Stress ◽  
Good Agreement

Tooth fillet and root stresses of an internal spur gear which is fixed by bolts or supported by pinned coupling were measured. The stress values are compared with those obtained by the simple calculation method developed in the previous reports [1, 2] and with those by the FEM calculation. Those values have shown fairly good agreement, and the validity of this calculation method is shown. The difference of the stress state for the cases of bolt fixing internal gear and of roller supporting internal gear is discussed.

Meshing Stiffness and Tooth Root Stress for Internal Cylindrical Gears With Thin Rim

2003 ◽  
Author(s):  
Jean-Pierre de Vaujany ◽  
Miche`le Guingand ◽  
Didier Remond
Keyword(s):  
3D Model ◽  
Statistical Design ◽  
Tension Stress ◽  
Tooth Root ◽  
Meshing Stiffness ◽  
Cylindrical Gears ◽  
Maximal Tension ◽  
Experiment Method ◽  
Internal Gear ◽  
Root Stress

The main objective of this study is to quantify the influence of the deformation of the rim of an internal gear on the meshing stiffness and the stress distribution in tooth fillets. The 3D model used is based on a method derived from the Finite Prism Method. Tooth bending effects and contact deformations are processed simultaneously. Scientific use of the software has resulted in formulating an equation to calculate the maximal tension stress in the tooth root. This formula has been obtained by using the statistical design of experiment method.

BIDIMENSIONAL FINITE ELEMENT ANALYSIS OF SPUR GEAR: STUDY OF THE MESH STIFFNESS AND STRESS AT THE LEVEL OF THE TOOTH FOOT

2009 ◽  
Vol 33 (2) ◽  
pp. 175-187 ◽  
Author(s):  
Mohamed Nizar Bettaieb ◽  
Mohamed Maatar ◽  
Chafik Karra
Keyword(s):  
Finite Element ◽  
Stress State ◽  
Spur Gear ◽  
Fortran Program ◽  
Mesh Stiffness ◽  
Element Analysis ◽  
Gear Mesh ◽  
Finite Element Software ◽  
Time Calculation ◽  
Finite Element Meshing

The purpose of this work is to determine the spur gear mesh stiffness and the stress state at the level of the tooth foot. This mesh stiffness is derived from the calculation of the normal tooth displacements: local displacement where the load is applied, tooth bending displacement and body displacement [15]. The contribution of this work consists in, basing on previous works, developing optimal finite elements model in time calculation and results precision. This model permits the calculation of time varying mesh stiffness and the evaluation of stress state at the tooth foot. For these reasons a specific Fortran program was developed. It permit firstly, to obtain the gear geometric parameters (base radii, outside diameter,…) and to generate the data base of the finite element meshing of a tooth or a gear. This program is interfaced with the COSMOS/M finite element software to predict the stress and strain state and calculate the mesh stiffness of a gear system. It is noted that the mesh stiffness is periodic and its period is equal to the mesh period.

scholarly journals Failure analysis of the rubber track of a tracked transporter

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878952 ◽  
Author(s):  
Weiwei Liu ◽  
Kai Cheng ◽  
Jun Wang
Keyword(s):  
Stress State ◽  
Tensile Stress ◽  
Failure Analysis ◽  
Test Site ◽  
Strength Theory ◽  
Cycle Index ◽  
Soil Stress ◽  
Machinery Building ◽  
Simple Stress ◽  
Working Hour

Rubber-tracked transporters are becoming increasingly popular in agriculture, forestry and military transportation. Rubber track systems are typically fitted instead of using tyres on the transporter to decrease soil stress and increase trafficability. Therefore, the accurate failure analysis of a rubber track is important. A model for predicting stress distribution along a rubber track is presented in this study. In the model, the stress along a rubber track consists of the vertical stress below the rubber track, tensile stress, bending stress and centrifugal tensile stress. Moreover, fourth strength theory was used to change a complicated stress state to a simple stress state. An experiment was performed at the test site of Harbin First Machinery Building Group Ltd, with a total weight of 61.789 kN. The experiment was conducted to verify and approve the theoretical model. The Miner rule was used to predict the cycle index and working hour of the rubber track, thereby providing a method for predicting the fatigue life of a rubber track.

scholarly journals Root stress of thin-rimmed internal spur gear supported with pins.

1987 ◽  
Vol 30 (262) ◽  
pp. 646-652 ◽  
Author(s):  
Satoshi ODA ◽  
Kouitsu MIYACHIKA
Keyword(s):  
Spur Gear ◽  
Root Stress

Assessment of Stress-Displacement State of Cable Suspended Pipeline Bridge During Inspection Pig Motion

2016 ◽  
Author(s):  
Igor Orynyak ◽  
Igor Burak ◽  
Sergiy Okhrimchuk ◽  
Andrii Novikov ◽  
Andrii Pashchenko
Keyword(s):  
Stress State ◽  
Dynamic Loading ◽  
System Analysis ◽  
Optical Measurement ◽  
Time Moment ◽  
Dynamic Loads ◽  
Natural Mode ◽  
Geometrically Nonlinear ◽  
Cable System ◽  
Stress Calculation

Designing and maintenance of pipeline cable bridge with dynamic loads is complex because this problem belongs to the geometrically nonlinear problems. Analysis shown that existing mathematics models of cables have restrictions in use and we can’t use these cable models for dynamic loads calculations of cable-suspended pipeline bridge. Movement, produced by motion of inspection pig inside pipeline is an example of such dynamic loads. During its motion through the pipeline cable bridge the inspection pig induces additional stresses in pipeline due its weight and finite velocity which induces the vibration of the bridge. Its stress state assessment requires a lot of modeling, measuring and calculating actions to be done. First of all the initial static stress state of the cable bridge should be evaluated. It depends on the existing tension forces in the cable elements. They approximately were derived from the optical measurement of their geometrical curvatures with accounting for known weight density of the cables. Then, existing software tool for piping stress calculation “3D Pipe Master”, which operates by 12 degrees of freedom in pipe elements, was modernized to be able to take into account the geometrically nonlinear behavior of 6 d.o.f. cable elements. The equations which relate the elongations and rotations of cable elements with tension forces in cables are written in the form convenient for application of the transfer matrix method in the linearized iteration procedure which adjusts the measured displacements of the elements of the bridge with calculated one. In this way the initial tension forces in cables, in particular, and the bridge state, in general were determined. The dynamic part of the problem is solved by expansion in terms of natural frequencies eigenfunctions. Given inspection pig velocity calculation allows to determine the time dependence of generalized loads for each of natural vibration mode as product of the pig weight multiplied by mode shape displacement in point of pig position at the given time moment. Eventually the technique of Duhamel integral is used to calculate the dynamic behavior of the bridge for each natural mode of vibration. Two examples of dynamic stress calculation are considered. First is primitive one and relate to calculation joint interaction pipeline and cable system at dynamic loading. The second example concerns dynamic calculation pipeline cable bridge through the river Svicha during movement inspection pig. This bridge consists of two support, two parallel pipelines (1220×15) with bends and cable system. Analysis shown possibility uses “3D Pipe Master” software for the solving problems of durability pipeline cable bridge any complexity in the conditions of static and dynamic loading.

Effect of Rim Thickness on Tooth Root Stress and Mesh Stiffness of Internal Gears

2014 ◽  
Author(s):  
F. Karpat ◽  
B. Engin ◽  
O. Dogan ◽  
C. Yuce ◽  
T. G. Yilmaz
Keyword(s):  
Weight Ratio ◽  
Planetary Gear ◽  
Mesh Stiffness ◽  
Gear Mesh ◽  
Aerospace Applications ◽  
Bending Stresses ◽  
Gear Mechanism ◽  
Internal Gear ◽  
Gear Mesh Stiffness ◽  
Root Stress

In recent years, internal gears are used commonly in a number of automotive and aerospace applications especially in planetary gear drives. Planetary gears have many advantages such as compactness, large torque-to-weight ratio, large transmission ratios, reduced noise and vibrations. Although internal gears have many advantages, there are not enough studies on it. Designing an internal gear mechanism includes two important parameters. The gear mesh stiffness which is the main excitation source of the system. In this paper, 2D gear models are developed in order to compute gear mesh stiffness for various rim thicknesses and different rim shapes of the internal gear design. Effects of root stress with varying rim thickness and some tooth parameters are investigated by using 2D gear models. The stress calculated according to ISO 6336 and the stresses calculated against FEM are compared. These results are well-matched. It is observed that when the rim thicknesses are increased, both the maximum bending stresses and gear mesh stiffness are decreased considerably.

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