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Journal ArticleDOI

Stress analysis of composite spur gear using the finite element approach

03 Mar 1993-Computers & Structures (Pergamon)-Vol. 46, Iss: 5, pp 869-875
TL;DR: In this article, a static stress analysis of composite gears using a three-dimensional finite element approach is presented, and it is concluded that graphite material such as graphite/epoxy can be thought of as a material for power transmission gears.
About: This article is published in Computers & Structures.The article was published on 1993-03-03. It has received 23 citations till now. The article focuses on the topics: Gear pump & Non-circular gear.
Citations
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Journal ArticleDOI
TL;DR: In this article, the Lagrange multiplier algorithm has been used between the contacting pairs to determine the contact stresses among the helical gear pairs, under static conditions, by using a 3D finite element method.

70 citations

Journal ArticleDOI
TL;DR: In this paper, a 3D finite element method (FEM) and Lagrange Multiplier (LMM) algorithm has been used to evaluate the contact stresses of helical gear pairs.
Abstract: The aim of this paper is to provide a new viewpoint of friction factor for contact stress calculations of gears. The idea of friction factor has been coined, for the calculation of contact stresses along the tooth contact for different helical gear pairs. Friction factors were developed by evaluating contact stresses with and without friction for different gear pairs. In this paper, 3D Finite Element Method (FEM) and Lagrange Multiplier algorithm has been used to evaluate the contact stresses. Initially, a spur gear FE model was validated with the theoretical analysis under frictionless condition, which is based on Hertz's contact theory. Then, similar FE models were constructed for 5, 15, 25 and 35 deg. helical gear pairs. The contact stresses of these models were evaluated for different coefficients of friction. These results were employed for the development of friction factor.

17 citations


Cites background from "Stress analysis of composite spur g..."

  • ...Few old literatures on gears showed the initial approaches made on the contact analysis where single tooth was considered [5–7]....

    [...]

Journal ArticleDOI
01 Nov 2017
TL;DR: In this paper, the parametric design and contact analysis of composite spur gears are investigated numerically, and each design factor such as stress distributions, strain and deformation are considered to compare composite gear with steel and polymer gears.
Abstract: In this study, the parametric design and contact analysis of composite spur gears are investigated numerically. Composite gear provides an adequate strength to weight ratio, more hardness, durability and low maintenance cost. It is emerging better alternatives for replacing metallic gears. The finite element model of spur gear is developed with the assistance of the Ansys software. In this study each design factor such has stress distributions, strain and deformation are considered to compare composite gear with steel and polymer gears. An APDL gear model has been developed for the design evaluation and comparison study.

15 citations

Journal ArticleDOI
TL;DR: In this article, a 3D finite element model was developed to simulate the multi-axial stress-strain behaviors of the gear tooth and failure prediction has been conducted based on the different failure criteria, including Tsai-Wu criterion.
Abstract: In this paper, short carbon fiber reinforced nylon spur gear pairs, and steel and unreinforced nylon spur gear pairs have been selected for study and comparison. A 3D finite element model was developed to simulate the multi-axial stress-strain behaviors of the gear tooth. Failure prediction has been conducted based on the different failure criteria, including Tsai-Wu criterion. The tooth roots, where has stress concentration and the potential for failure, have been carefully investigated. The modeling results show that the short carbon fiber reinforced nylon gear fabricated by properly controlled injection molding processes can provide higher strength and better performance.

13 citations


Cites background from "Stress analysis of composite spur g..."

  • ...Vijayarangan and Ganesan [19] have reported that the composite gears with internal solid lubrication can be operated with higher load and minimal wear....

    [...]

Journal ArticleDOI
TL;DR: In this article, the performance of two composite material bevel gears is compared with a carbon steel gear from a static strength and displacement point of view, and it is concluded that composite materials such as boron/epoxy can be very much thought of as a material for power transmission bevel gear.

13 citations

References
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Book
01 Jan 1950
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Abstract: 1. Introduction 2. Foundations of the thoery 3. General theorems 4. The solution of plastic-elastic problems I 5. The solution of plastic-elastic problems II 6. Plane plastic strain and the theory of the slip-line field 7. Two-dimensional problems of steady motion 8. Non-steady motion problems of steady motion 9. Non-steady motion problems in two dimensions II 10. Axial symmetry 11. Miscellaneous topics 12. Platic anisotropy

7,810 citations

Book
01 Jan 1984
TL;DR: A review of the equations of MECHANICS can be found in this paper, where the Ritz Method and Weighted-Residual Methods are used to approximate the distance between two points.
Abstract: A REVIEW OF THE EQUATIONS OF MECHANICS. Introduction. Kinetics. Kinematics. Thermodynamic Principles. Constitutive Equations. Boundary--Value Problems of Mechanics. Equations of Bars, Beams, Torsion, and Plane Elasticity. ENERGY AND VARIATIONAL PRINCIPLES. Preliminary Concepts. Calculus of Variations. Virtual Work and Energy Principles. Stationary Variational Principles. Hamiltona s Principle. Energy Theorems of Structural Mechanics. VARIATIONAL METHODS OF APPROXIMATION. Some Preliminaries. The Ritz Method. Weighted--Residual Methods. The Finite--Element Method. THEORY AND ANALYSIS OF PLATES AND SHELLS. Classical Theory of Plates. Shear Deformation Theories of Plates. Laminated Composite Plates. Theory of Shells. Finite--Element Analysis of Plates and Shells. Bibliography. Answers to Selected Exercises. Index.

347 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element formulation for the analysis of axisymmetric fiber reinforced laminated shells subjected to axismmetric load is presented, which includes arbitrary number of bonded layers each of which may have different thicknesses, orientation of elastic axes, and elastic properties.

35 citations

Journal ArticleDOI
TL;DR: In this article, a fiber-reinforced plastic spur gear was made by arranging long carbon fibers along the tooth shapes and then filling up inside with composite of glass fiber chops and epoxy resin.
Abstract: This paper describes an investigation about the possibility of producing a fiber-reinforced plastic gear which is light, self-lubricated and of high strength, by taking advantage of the characteristics of the unidirectionally reinforced lamina. A fiber-reinforced plastic spur gear was molded by arranging long carbon fibers along the tooth shapes and then filling up inside with composite of glass fiber chops and epoxy resin. Bending strength of the tooth of the gear was studied experimentally and analytically. Availability of the fiber-reinforced plastic gear thus made was confirmed by the investigation.

7 citations