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Journal ArticleDOI

Dynamic analysis of spur gear teeth

01 Jan 1988-Computers & Structures (Pergamon)-Vol. 29, Iss: 5, pp 831-843
TL;DR: In this paper, a new approach to the stress analysis of spur gear teeth using finite element method and cyclic symmetry is presented, where each tooth is considered as an identical substructure of the gear wheel.
About: This article is published in Computers & Structures.The article was published on 1988-01-01. It has received 32 citations till now. The article focuses on the topics: Finite element method.
Citations
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Journal ArticleDOI
TL;DR: In this paper, a dynamic model was developed, using MATLAB, and used for the prediction of the instantaneous dynamic loads of spur gears with symmetric and asymmetric teeth, and a 2-D three-tooth model for finite element analysis.

91 citations

Journal ArticleDOI
W. Hu1, Zhen Chen1
TL;DR: In this article, a numerical scheme is presented to simulate the meshing process of spur gears, based on the material point method (MPM), and a contact/sliding/separation procedure in a multi-mesh environment without using master/slave nodes is proposed so that the no-slip contact constraint inherent in the existing MPM can be released.

71 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

Journal ArticleDOI
TL;DR: In this paper, a finite element procedure was proposed to simulate the conjugate action of spur gear drives by approximating both the rotations of gears and the elastic deformations of the load carrying teeth.

30 citations

References
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Journal ArticleDOI
TL;DR: In this article, gear performance on vibration is discussed in a wide range of contact ratios from 1.26 to 2.46 using a developed simulator and tooth profile correction is investigated in relation to pressure angle error.
Abstract: In this paper gear performance on vibration is discussed in a wide range of contact ratios from 1.26 to 2.46 using a developed simulator. And tooth profile correction is investigated in relation to pressure angle error. The simulation results are verified through good agreement with results of dynamic meshing tests. From this investigation the effects of contact ratio and profile correction are clarified.

39 citations

Journal ArticleDOI
TL;DR: In this paper, the root stresses of thin rim spur gears are investigated by means of the two-dimensionala1 finite element method (FEM) with triangular elements, and the effects of boundary constraints for gear models and of adjacent teeth on the root stress distribution are discussed.
Abstract: The root stresses of thin rim spur gears are investigated by means of the two-dimensiona1 finite element method (FEM) with triangular elements. The effects of boundary constraints for gear models and of adjacent teeth on the root stress distribution are discussed. The gear tooth model with a single tooth is shown to be available for a sufficiently precise evaluation of root stresses. A suitable rim thickness of gear model for the stress analysis by FEM is proposed. The true root stresses are computed and measured for gears of different rim thicknesses. The true stresses computed by FEM are in a fairly good agreement with measured ones. On the basis of these investigations the effects of rim thickness on the root stresses and on the critical sections in thin rim spur gears are also discussed.

33 citations

Journal ArticleDOI
TL;DR: In this article, the natural frequencies of centrifugal fan impellers were determined by solving tridiagonal block matrices, and the simultaneous iteration scheme was modified to extract the natural frequency from the resulting complex eigenvalue problem.

10 citations