Stress Analysis in Double Enveloping Worm Gears by Finite Element Method

1993 ◽  
Vol 115 (1) ◽  
pp. 179-185 ◽  
Author(s):  
V. Simon
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Regression Analysis ◽  
Finite Elements ◽  
Stress Analysis ◽  
Gear Tooth ◽  
Design Parameters ◽  
Stress Distributions ◽  
Worm Gears ◽  
Interpolation Functions

A method and a corresponding computer program are developed for stress analysis in the worm and the gear of double enveloping worm gears by finite elements. By using this program stress distributions in the worm thread and the gear tooth are calculated, and the influence of the design parameters and of the load position on deflections and stresses is investigated. On the basis of the obtained results, by using regression analysis and interpolation functions, equations are derived for the calculation of deflections and stresses in the worm thread and in the gear tooth of double enveloping worm gears.

Global Local Finite Element Method (GLFEM) in Gear Tooth Stress Analysis

1993 ◽  
Vol 115 (4) ◽  
pp. 1008-1012 ◽  
Author(s):  
I. Moriwaki ◽  
T. Fukuda ◽  
Y. Watabe ◽  
K. Saito
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Dimensional Analysis ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Critical Section ◽  
Energy Principle ◽  
Analysis Technique ◽  
Element Method

The present study is concerned with an application of the global local finite element method (GLFEM) to a gear tooth stress analysis. The GLFEM is a numerical analysis technique which combines finite element solutions and classical analytical ones on the basis of the energy principle. In this method, the classical analytical solutions give an almost exact stress field to the elements in which the stress varies very rapidly and/or the stress concentration is found. A fine subdivision, therefore, is not required. In the application of the conventional finite element method to the gear tooth stress analysis, the fine subdivision is required especially at the positions near tooth bottom and the load applied point. Hence, only two-dimensional analysis is available for common use. Furthermore, in order to determine an exact location of a critical section on which a fillet stress is maximum, we must use complicated procedures, e.g., an iteration of subdivision for searching the maximum nodal stress. In the present paper, the GLFEM is applied to the gear tooth stress analysis to show that even the rough subdivision enables us to make the precise three-dimensional analysis. It also guarantees an easy determination of the critical section. Thus, we show the effective future of the GLFEM to the gear tooth stress analysis.

Finite Element Stress Analysis of the Crowns of Normal and Restored Teeth

1976 ◽  
Vol 55 (6) ◽  
pp. 1004-1011 ◽  
Author(s):  
A.L. Yettram ◽  
K.W.J. Wright ◽  
H.M. Pickard
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Two Dimensional ◽  
Stress Distributions ◽  
The Finite Element Method ◽  
Relative Stiffness ◽  
Finite Element Stress Analysis ◽  
Element Method ◽  
Finite Element Stress

Stress distributions are Presented for a normal and a restored mandibular second premolar under masticatory-type forces. These were obtained using the finite element method of stress analysis aPPlied to two-dimensional models. The effect of the relative stiffness of the materials is examined in each instance.

Global Local Finite Element Method (GLFEM) in Gear Tooth Stress Analysis

1992 ◽  
Author(s):  
I. Moriwaki ◽  
T. Fukuda ◽  
Y. Watabe ◽  
K. Saito
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Dimensional Analysis ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Critical Section ◽  
Energy Principle ◽  
Analysis Technique ◽  
Element Method

Abstract The present study is concerned with an application of the Global Local Finite Element Method (GLFEM) to a gear tooth stress analysis. The GLFEM is a numerical analysis technique which combines finite element solutions and classical analytical ones on the basis of the energy principle. In this method, the classical analytical solutions give an almost exact stress field to the elements in which the stress varies very rapidly and/or the stress concentration is found. A fine subdivision, therefore, is not required. In the application of the conventional finite element method to the gear tooth stress analysis, the fine subdivision is required especially at the positions near tooth bottom and the load applied point. Hence, only two dimensional analysis is available for common use. Furthermore, in order to determine an exact location of a critical section on which a fillet stress is maximum, we must use complicated procedures, e.g. an iteration of subdivision for searching the maximum nodal stress. In the present paper, the GLFEM is applied to the gear tooth stress analysis to show that even the rough subdivision enables us to make the precise three dimensional analysis. It also guarantees an easy determination of the critical section. Thus, we show the effective future of the GLFEM to the gear tooth stress analysis.

FEM Stress Analysis and Sealing Performance in Non-Circular Flange Connections With Gaskets Subjected to Internal Pressure

2003 ◽  
Author(s):  
Toshiyuki Sawa ◽  
Wataru Maezaki
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Internal Pressure ◽  
Stress Analysis ◽  
Stress Distributions ◽  
Flange Connection ◽  
Bolt Preload ◽  
Sealing Performance ◽  
Element Method

The contact gasket stress distributions of a non-circular flange connection with a compressed asbestos sheet gasket subjected to internal pressure were analyzed taking account a hysteresis of the gasket by using finite element method (FEM). Leakage tests were also conducted using an actual non-circular flange connection with a compressed asbestos sheet gasket under internal pressure. By using the contact gasket stress distributions and the results of the leakage tests, the new gasket constants were calculated. A difference in the new gasket constants between the values obtained from the present study and those by the PVRC procedure was substantial. In addition, a method to determine the initial clamping bolt force (bolt preload) for a given tightness parameter was demonstrated. abstract text here.

scholarly journals Photoelastic and Finite Element Stress Analysis of the Gap between the L4 and L5 Vertebrae

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Sarah Fakher Fakhouri ◽  
Suraya Gomes Novais-Shimano ◽  
Marcos Massao Shimano ◽  
Helton Defino ◽  
Cleudmar Amaral Araujo ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Intervertebral Disc ◽  
Stress Analysis ◽  
Disc Degeneration ◽  
Compressive Load ◽  
The Finite Element Method ◽  
Finite Element Stress Analysis ◽  
Transmission Technique

The purpose of this study was to analyze the stresses on the intervertebral disc between vertebrae L4 and L5 when a compressive load is applied on vertebra L4 using the photoelasticity transmission technique and the finite element method. Nine photoelastic models were used and were divided into three groups. Each group was formed by three models, according to the localization of the sagittal cut on vertebrae L4-L5. Simulation was carried out using a load of 23 N. The fringe orders were assessed by points close to the edge of the intervertebral disc using the Tardy compensation method. The analyses using the photoelasticity technique and the model of the finite elements showed that the stress generated by the vertebrae on the intervertebral disc was higher in the posterolateral region. Thus, this region is more susceptible to pathologies such as hernia and disc degeneration.

Stress Analysis of Face Gear Tooth Subject to Distributed Load Using Global Local Finite Element Method (GLFEM)

2003 ◽  
Author(s):  
Ichiro Moriwaki ◽  
Syunpei Ogaya ◽  
Koji Watanabe
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Contact Stress ◽  
Gear Tooth ◽  
Local Domain ◽  
Face Gear ◽  
Distributed Load ◽  
Tooth Flank ◽  
Element Method

The present paper describes a stress analysis of a face gear tooth subject to a distributed load. The distributed load was determined from an initial mismatch between meshing tooth flanks through geometrical analysis. A new global local finite element method was used for the analysis. In the global local finite element method, an analytical domain is divided into two parts; a global domain in which fields are defined by an analytical solution derived from a classical elastic theory, and a local domain in which fields defined by a finite element solution. Furthermore, tooth flank film elements, which enable boundary conditions on tooth flanks to be easily represented, are taken as the global domain. The calculations were performed for face gear pairs with various misalignments. Crowning modifications along lead were given to pinions, and the effect of the modifications on tooth stress distribution in a face gear tooth was discussed. As a result, both contact and bending stresses were not so large. When there are some misalignments, only contact stress increased. However, the crowning on a pinion tooth was effective for the reduction of the contact stress. Furthermore, face gear with linear profiles; i.e., approximated profiles, were also discussed. Then, it was confirmed that this profile is good approximation.

FEM Stress Analysis and an Evaluation of the Sealing Performance in Non-Circular Flange Connections With Gaskets Subjected to Internal Pressure

2006 ◽  
Author(s):  
Toshiyuki Sawa ◽  
Ryo Kurosawa ◽  
Wataru Maezaki
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Internal Pressure ◽  
Stress Analysis ◽  
Stress Distributions ◽  
The Finite Element Method ◽  
Flange Connection ◽  
Bolt Preload ◽  
Sealing Performance ◽  
The Difference

The contact gasket stress distributions of a non-circular flange connection with a compressed sheet gasket subjected to internal pressure were analyzed taking into account of the hysteresis behavior of the gasket by using the finite element method (FEM). Leakage tests were also conducted using an actual non-circular flange connection with a compressed sheet gasket under internal pressure. Using the contact gasket stress distributions and the results of the leakage tests, the new gasket constants were calculated. The difference in the new gasket constants between the values obtained from the present study and those by the PVRC procedure was substantial. In addition, a method to determine the initial clamping bolt force (bolt preload) for a given tightness parameter was demonstrated.

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