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Static and dynamic analysis of spur and bevel gears using FEM

01 Jan 1998-Vol. 33, Iss: 8, pp 1177-1193
TL;DR: In this paper, the displacement of a tooth is computed for each Fourier harmonic component of the contact line load and all the components are added to obtain the total displacement, which is used in the calculation of static stress in the teeth.
Abstract: This paper presents the findings of three-dimensional stress analysis of spur and bevel gear teeth by finite element method using cyclic symmetry concept. The displacement of a tooth is computed for each Fourier harmonic component of the contact line load and all the components are added to obtain the total displacement. This displacement is used in the calculation of static stress in the teeth. The natural frequencies and mode shapes are obtained using the submatrices elimination scheme.
Citations
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Journal ArticleDOI
TL;DR: In this paper, the authors proposed a modified geometry of an asymmetric spur gear drive designed as a combination of an involute gear and a double crowned pinion that enables to localize and stabilize the bearing contact and obtain a favorable shape of transmission errors.

177 citations

Journal ArticleDOI
TL;DR: In this paper, a pseudo interference stiffness estimation (PISE) method is proposed for evaluating the equivalent mesh stiffness and the mesh load in gear system, which is based on evaluation of the geometric overlap of two assumedly rigid bodies and estimation of the contact force based on this artificial overlap area (or volume) and the singular stiffness of the bodies.

55 citations

01 Jan 2010
TL;DR: In this paper, the authors present a table of contents and a list of attributes for each of the following categories: Table of Contents V Table of Contents VI List of TABLES VII List of Figures VIII List of FIGURES IX List of Symbols
Abstract: II ACKNOWLEGEMENTS V TABLE OF CONTENTS VI LIST OF TABLES XII LIST OF FIGURES XIII LIST OF SYMBOLS XXVIII Chapter

47 citations

Journal ArticleDOI
TL;DR: In this paper, a new numerical approach has been developed for the analysis of displacements and stresses in arbitrary-shaped elastic bodies subjected to mixed boundary conditions, and an ideal mathematical model based on the displacementpotential function has been used in the finite-difference solution to investigate the state of stresses at the critical sections of spur gear teeth.
Abstract: A new numerical approach has been developed for the analysis of displacements and stresses in arbitrary-shaped elastic bodies subjected to mixed boundary conditions. An ideal mathematical model, based on the displacement-potential function, has been used in the finite-difference solution to investigate the state of stresses at the critical sections of spur gear teeth. Two different types of gear tooth and two different regions of loading are included in the present analysis. The solutions found by the present approach are compared and discussed in the light of available finite-element results in the literature. Copyright © 2001 John Wiley & Sons, Ltd.

46 citations

Journal ArticleDOI
TL;DR: In this article, a finite difference solution of two-dimensional elastic problems with mixed boundary conditions is presented, based on a finite-difference technique, which solves plane stress and plane strain problems of arbitrary shaped elastic bodies.

33 citations

References
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors proposed a modified geometry of an asymmetric spur gear drive designed as a combination of an involute gear and a double crowned pinion that enables to localize and stabilize the bearing contact and obtain a favorable shape of transmission errors.

177 citations

Journal ArticleDOI
TL;DR: In this paper, a pseudo interference stiffness estimation (PISE) method is proposed for evaluating the equivalent mesh stiffness and the mesh load in gear system, which is based on evaluation of the geometric overlap of two assumedly rigid bodies and estimation of the contact force based on this artificial overlap area (or volume) and the singular stiffness of the bodies.

55 citations

01 Jan 2010
TL;DR: In this paper, the authors present a table of contents and a list of attributes for each of the following categories: Table of Contents V Table of Contents VI List of TABLES VII List of Figures VIII List of FIGURES IX List of Symbols
Abstract: II ACKNOWLEGEMENTS V TABLE OF CONTENTS VI LIST OF TABLES XII LIST OF FIGURES XIII LIST OF SYMBOLS XXVIII Chapter

47 citations

Journal ArticleDOI
TL;DR: In this paper, a new numerical approach has been developed for the analysis of displacements and stresses in arbitrary-shaped elastic bodies subjected to mixed boundary conditions, and an ideal mathematical model based on the displacementpotential function has been used in the finite-difference solution to investigate the state of stresses at the critical sections of spur gear teeth.
Abstract: A new numerical approach has been developed for the analysis of displacements and stresses in arbitrary-shaped elastic bodies subjected to mixed boundary conditions. An ideal mathematical model, based on the displacement-potential function, has been used in the finite-difference solution to investigate the state of stresses at the critical sections of spur gear teeth. Two different types of gear tooth and two different regions of loading are included in the present analysis. The solutions found by the present approach are compared and discussed in the light of available finite-element results in the literature. Copyright © 2001 John Wiley & Sons, Ltd.

46 citations

Journal ArticleDOI
TL;DR: In this article, a finite difference solution of two-dimensional elastic problems with mixed boundary conditions is presented, based on a finite-difference technique, which solves plane stress and plane strain problems of arbitrary shaped elastic bodies.

33 citations