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A Theoretical and Experimental Investigation on Bending Strength and Fatigue Life of Spiral Bevel and Hypoid Gears

Mohammad Adel Hotait1•
Ohio State University1
01 Jan 2011-
TL;DR: In this article, the influence of misalignments on Gear Bending Stresses has been investigated and the effect of Misalignments have been found to be a significant influence on the performance of these models.
Abstract: .................................................................................................................................... ii DEDICATION ................................................................................................................................ iv ACKNOWLEDGMENTS ............................................................................................................... v VITA ............................................................................................................................................... vi PUBLICATIONS ............................................................................................................................ vi FIELDS OF STUDY....................................................................................................................... vi TABLE OF CONTENTS ............................................................................................................... vii LIST OF TABLES .......................................................................................................................... xi LIST OF FIGURES ....................................................................................................................... xii NOMENCLATURE ...................................................................................................................... xx TOOTH NOMENCLATURE ...................................................................................................... xxv CHAPTER 1 1.1 Background and Motivation .................................................................................................... 1 1.2 Literature Review..................................................................................................................... 4 1.2.1 Gear Root Stresses Prediction Models ............................................................................... 4 1.2.2 Influence of Misalignments on Gear Bending Stresses ..................................................... 7 viii 1.2.3 Gear Bending Fatigue Models ........................................................................................... 8 1.3 Scope and Objectives ............................................................................................................. 11 1.4 Dissertation Outline ............................................................................................................... 13 CHAPTER 2 2.
Citations
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A Model to Predict Pocketing Power Losses in Spiral Bevel and Hypoid Gears

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Erdem Erkilic1•
Ohio State University1
01 Jan 2012
TL;DR: In this article, the authors present a list of tables, lists of figures, and nomenclature for dedications, acknowledgements, and Vita lists of tables and figures.
Abstract: ........................................................................................................................................... ii Dedication ....................................................................................................................................... iii Acknowledgements ........................................................................................................................ iv Vita .................................................................................................................................................. v List of Tables ................................................................................................................................ viii List of Figures ................................................................................................................................. ix Nomenclature .................................................................................................................................. xi

1 citations

Cites background or methods from "A Theoretical and Experimental Inve..."

  • ...I would like to extend my gratitude to former GearLab students and brilliant gear engineers, Dr. Mohsen Kolivand, Dr. Mohammad Hotait and Dr. David Talbot for sharing their technical knowledge and expertise to help me advance in my studies....

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  • ...This roll action is termed as Ratio of Roll [2, 3], 2.1 where is the component of angular speed of the gear blank related to cradle rotation, is the angular speed of the cradle....

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  • ...Hypoid gear cutting processes: (a) face-milling and (b) face-hobbing [3]...

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  • ...This roll action is termed as Ratio of Roll [2, 3],...

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  • ...In order to allow for continuous indexing in the FH process, the cutter and the work piece rotate according to [2, 3],...

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Journal Article•DOI•
Research on Fatigue Degree of Gear Materials

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Hai Ting Lv1•
Dalian Institute of Science and Technology1
01 Jun 2013-Applied Mechanics and Materials
TL;DR: In this article, a detailed study of fatigue failure of the gear at home and abroad, and discusses the experimental method, numerical model, finite element simulation and does a forecast on its characteristics and prospects.
Abstract: Gear plays an important role in the project, and its failure form has been widely concerned. This article does a detailed study of fatigue failure of the gear at home and abroad, and discusses the experimental method, numerical model, finite element simulation baking and does a forecast on its characteristics and prospects.
Journal Article•
Dynamic model of bevel gearbox in the matrix form

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Z. Rak
01 Jan 2011-Modelling and Optimization of Physical Systems
References
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Journal Article•DOI•
A Class of Methods for Solving Nonlinear Simultaneous Equations

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C. G. Broyden
13 Jan 1965-Mathematics of Computation
TL;DR: In this article, the authors discuss certain modifications to Newton's method designed to reduce the number of function evaluations required during the iterative solution process of an iterative problem solving problem, such that the most efficient process will be that which requires the smallest number of functions evaluations.
Abstract: solution. The functions that require zeroing are real functions of real variables and it will be assumed that they are continuous and differentiable with respect to these variables. In many practical examples they are extremely complicated anld hence laborious to compute, an-d this fact has two important immediate consequences. The first is that it is impracticable to compute any derivative that may be required by the evaluation of the algebraic expression of this derivative. If derivatives are needed they must be obtained by differencing. The second is that during any iterative solution process the bulk of the computing time will be spent in evaluating the functions. Thus, the most efficient process will tenid to be that which requires the smallest number of function evaluations. This paper discusses certain modificatioins to Newton's method designed to reduce the number of function evaluations required. Results of various numerical experiments are given and conditions under which the modified versions are superior to the original are tentatively suggested.

2,481 citations

"A Theoretical and Experimental Inve..." refers methods in this paper

  • ...A nonlinear solver based on the Broyden’s Method [70] is employed here, in which the Jacobian is computed numerically for the first iteration only using a finite difference approximation....

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Journal Article•DOI•
A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsion and Axial Load or Bending

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W. N. Findley1•
Brown University1
01 Nov 1959-Journal of Engineering for Industry

588 citations

"A Theoretical and Experimental Inve..." refers background in this paper

  • ...Numerous high-cycle fatigue criteria have been proposed to include the influence of multiaxial conditions [47-64]....

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  • ...I t is also noted that some of these models considered non-proportional loading [47, 49, 51, 52, 55, 56] while others were just limited to cases where the loading is proportional [48]....

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Journal Article•DOI•
A comparative study of multiaxial high-cycle fatigue criteria for metals

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I. V. Papadopoulos, Piermaria Davoli1, Carlo Gorla1, Mauro Filippini1, Andrea Bernasconi1 •
Polytechnic University of Milan1
01 Mar 1997-International Journal of Fatigue
TL;DR: In this paper, the authors provide a concise assessment of some commonly used high-cycle fatigue criteria and check their predictive capabilities against synchronous out-of-phase bending and torsion experimental results.

562 citations

"A Theoretical and Experimental Inve..." refers background in this paper

  • ...A comprehensive review of various critical plane criteria was published by Karolczuk and Macha [58] to suggest that none of these models [49-64] has been accepted as a universal criterion for assessing fatigue failure of components under multiaxial loading conditions....

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  • ...Numerous high-cycle fatigue criteria have been proposed to include the influence of multiaxial conditions [47-64]....

    [...]

Journal Article•DOI•
A Review of Critical Plane Orientations in Multiaxial Fatigue Failure Criteria of Metallic Materials

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Aleksander Karolczuk1, E. Macha1•
Opole University1
01 Aug 2005-International Journal of Fracture
TL;DR: A review of multiaxial fatigue failure failure criteria based on the critical plane concept is presented in this paper, where the criteria have been divided into three groups according to the fatigue damage parameter used in the criterion, i.e. (i) stress, (ii) strain and (iii) strain energy density criteria.
Abstract: The paper presents a review of multiaxial fatigue failure criteria based on the critical plane concept. The criteria have been divided into three groups, according to the fatigue damage parameter used in the criterion, i.e. (i) stress, (ii) strain and (iii) strain energy density criteria. Each criterion was described mainly by the critical plane orientation. Multiaxial fatigue criteria based on the critical plane concept usually apply different loading parameters in the critical plane whose orientation is determined by (a) only shear loading parameters (crack Mode II or III), (b) only normal loading parameters (crack Mode I) or sometimes (c) mixed loading parameters (mixed crack Mode). There are also criteria based on few critical plane orientations and criteria based on critical plane orientations determined by a weighted averaging process of rotating principal stress axes.

291 citations

"A Theoretical and Experimental Inve..." refers background in this paper

  • ...A comprehensive review of various critical plane criteria was published by Karolczuk and Macha [58] to suggest that none of these models [49-64] has been accepted as a universal criterion for assessing fatigue failure of components under multiaxial loading conditions....

    [...]

  • ...Numerous high-cycle fatigue criteria have been proposed to include the influence of multiaxial conditions [47-64]....

    [...]

Journal Article•DOI•
An Explanation on Fatigue Limit under Combined Stress

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Tomokazu Matake
01 Mar 1977-Jsme International Journal Series B-fluids and Thermal Engineering
TL;DR: In this paper, the results of experiments on three isotropic and one anisotropic materials are discussed and compared with the criteria proposed up to the present, and a new criterion is proposed, which coincides with the Gough's empirical formula for the brittle materials under combined stress.
Abstract: Fatigue crack initiates in the slip band and exists also in it near fatigue limit; many slip bands are apt to appear in the direction of the maximum shearing stress; crack propagates by the normal tensile stress; the maximum shearing stress on a plane at fatigue limit is reduced by the effect of the normal stress on the same plane. From these results of the experiment, a new criterion is proposed, which coincides with the Gough's empirical formula for the brittle materials under combined stress. As the plane of the maximum shearing stress is varied by the various combination of torsion and bending, the isotropic material should be used in the combined stress experiment. In this paper, the results of experiments on three isotropic and one anisotropic materials are discussed and compared with the criteria proposed up to the present.

287 citations

"A Theoretical and Experimental Inve..." refers background or methods in this paper

  • ...11 critical plane approaches of Matake [48] and McDiarmid [49] to model the contact fatigue lives of rollers and gears....

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  • ...Recently, Li [66] used the characteristic plane approach proposed by Liu and Mahadevan [52, 54] along with two other 11 critical plane approaches of Matake [48] and McDiarmid [49] to model the contact fatigue lives of rollers and gears....

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  • ...Numerous high-cycle fatigue criteria have been proposed to include the influence of multiaxial conditions [47-64]....

    [...]

  • ...I t is also noted that some of these models considered non-proportional loading [47, 49, 51, 52, 55, 56] while others were just limited to cases where the loading is proportional [48]....

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