finite element study of the stress distribution in epicyclic gears. by John Dennis Andrews

Cover of: finite element study of the stress distribution in epicyclic gears. | John Dennis Andrews

Published by Birmingham Polytechnic in Birmingham .

Written in English

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Thesis (Ph.D.) - Birmingham Polytechnic, 1987.

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Open LibraryOL13841770M

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A finite element study of the stress distribution in epicyclic gears Author: Andrews, J. ISNI: Awarding Body: City of Birmingham Polytechnic Current Institution: Birmingham City University Date of Award: Availability of Full Text.

The effect of angular position of planet on the root stress of ring gear is evaluated. The stress distribution along the length of rim between two fixing bolts is estimated by FEM. Keywords: Epicyclic Gearbox, Rim Stress, Finite Element Analysis, Ring Gear 1.

Introduction 1 Epicyclic gear train is a gearing system consisting of one. Gupta et al. [6] conducted contact stress analysis of spur gear set. The study addresses determination of analytical contact stresses as well as Finite element analysis using ANSYS It was shown that the contact stress analysis of spur gear assembly can be successfully conducted using.

Finite Element Stress Analysis of Spiral Bevel Gear Amlan Das#1 # Metallurgical and Material Engineering Department, National Institute of Technology, Rourkela, Odisha, India 1 [email protected] Abstract— Gears can be classified as the category of moving machine parts which are responsible for the transmission of power over shorter distances i.e.

from one shaft to another. King et al [3] presented a study on paper stress analysis of gearboxes used in sugar industries. The commercial Finite Element software ANSYS was used to analyse stresses generated in the gearbox with an objective to improve the life of the gears.

The study investigated wear of gear tooth edges as a main reason for the failure of gears. In this paper, a finite element model for stress analysis of gear drives is proposed with the ultimate goal of obtaining accurate results regarding contact and bending stresses with lower.

Based on the simulation, the finite element model of planetary gear train is established, the dynamic meshing process is simulated, and influence of residual stress on equivalent stress of addendum, pitch circle, and dedendum of internal and external meshing planetary gear tooth profile is analyzed, according to non-linear contact theory.

A Finite Element Analysis of an epicyclic transmission is performed in [9]; the study focuses on the ring gear stress distribution that has been simulated through a. A Finite Element Study of the Residual Stress and Deformation in Hemispherical Contacts This work presents a finite element model (FEM) of the residual stresses and strains that are formed after an elastoplastic hemispherical contact is unloaded.

The material is modeled as elastic perfectly plastic and follows the von Mises yield criterion. In order to study fretting wear damage law of planetary frame axle hole, the distribution of normal stress and relative sliding velocity at axle hole was obtained by finite element software, and a method of extracting fretting wear character-istic parameter data was put forward and verified.

For courses in finite element methods, finite element analysis taught in departments of Civil, Mechanical, Aerospace, Agriculture, finite element study of the stress distribution in epicyclic gears. book Mechanics departments. Course for which this book is appropriate is usually taught to seniors or graduate hensive -- this text explores the full range of finite element methods used in engineering Reviews:   This paper explains about the geometry of helical gears by simple mathematical equations, the load distribution for various positions of the contact line and the stress analysis of helical gears using the three-dimensional finite element method.

A computer program has been developed for the stress analysis of the gears. Here the theoretical maximum contact stress is calculated by Hertz equation. Also the finite element analysis of spur gear is done to determine the maximum contact stress by ANSYS It was found that the results from both Hertz equation and Finite Element Analysis are comparable.

From the deformation pattern of steel and grey cast iron, it. software’s capable of performing Finite element analysis were available. Among the stress prediction factor in AGMA stress prediction formula, there is a factor, K.

m, which accounts for the load distribution across the face of a typical gear. The non-uniform stress distribution is mainly caused by misaligned of the shaft and distortion.

The stress distribution along the length of rim between two fixing bolts is estimated by FEM. Keywords: Epicyclic Gearbox, Rim Stress, Finite Element Analysis, Ring Gear Article published in International Journal of Current Engineering and Technology, Vol.4,No.4 (Aug- ).

The Finite Element Method: Theory, Implementation, and Practice November 9, Springer. Preface This is a set of lecture notes on finite elements for the solution of partial differential equations.

The approach taken is mathematical in nature with a strong focus on the. Finite element analysis can incorporate two-dimensional (2D) modeling if the geometry, load, and boundary conditions meet the requirements.

For many applications, a wide range of problems are solved in 2D, due to the efficiency and costs of computation. We could imagine setting up an FE (finite element) analysis of the cube with the loads applied externally.

The transition to the corresponding general stress state is shown in Fig. 6 and it is simply force per unit area for each force vector. Some of the stress terms in a typical selection menu are now apparent. The finite element method (FEM), or finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in engineering.

Boundary value problems are also called field problems. The field is the domain of interest. Parametric study is conducted by varying the face width and helix angle to study their effect on the bending stress of helical gear. Life time (no of cycles) of gear is also calculated based on.

dimensional finite element methods to study the displacements and stresses at various points on a helical gear tooth. In their work, they have compared the performance of Kevlar/e proxy and graphite /epoxy material helical gears with that of the carbon steel helical gears using a three- dimensional finite element method.

Finite Element Analysis on Contact Stress of Involute Spur in Meshing Process of Gear [J]. Journal of Dalian Jiaotong University,,30(2): [2] Wang Yuhang,Tong Zhansheng,Wu Xiuying etc. Load Balancing Mechanism and Choice of Epicyclic Gear Transmission [J].

Finite element analysis of helical gears It deals with the development of finite element analysis that has been implemented for various gear systems that were developed in the previous chapter.

The main objective of developing finite element analysis was in order to estimate bending, fatigue and contact stress distribution in the pinion and gear. This thesis presents quasi-static Finite Element Methods for the analysis of the stress state occurring in a pair of loaded spur gears and aims to further research the effect of tooth profile modifications on the mechanical performance of a mating gear pair.

The investigation is then extended to epicyclic transmissions as they are considered the most viable solution when the transmission of.

• Only two parts of the entire wheel motor are used in this study — the ring gear and the torque tube. If other parts like the hub, the wheel bearings, the planets, etc. and stress-influencing factors like the truck load were added, the stiffness of the investigated mechanical.

Wei L., Yao C., Wang H. () Finite Element Analysis of Dynamic Contact Stress of Planetary Gear of RV Reducer. In: Sugumaran V., Xu Z., P. S., Zhou H. (eds) Application of Intelligent Systems in Multi-modal Information Analytics.

MMIA Advances in Intelligent Systems and Computing, vol stress analysis in the contact area, assessing the most critical conditions, is of particular interest to the appropriate design of the transmission.

The present study uses the Finite Element Method (FEM) to analyze the stresses due to contact between a pair of spur gears (SG) and results are evaluated by comparing the Hertz.

has been a key area of research to minimize failure of the gear and optimize the design. The study of contact stress developed between the mating gears are very important for the gear design. The current goal is that the finite element analysis of the bevel gear is performed to determine the maximum contact stress.

The dynamic response of a helicopter planetary gear system is examined over a wide range of operating speeds and torques. The analysis tool is a unique, semianalytical finite element formulation that admits precise representation of the tooth geometry and contact forces that are crucial in gear dynamics.

- The term finite element was first coined by clough in In the early s, engineers used the method for approximate solutions of problems in stress analysis, fluid flow, heat transfer, and other areas.

- The first book on the FEM by Zienkiewicz and Chung was published in finite element calculation here, I have taken both remote displacement for bearing supports are fixed.

CONCLUSION The finite element method is most widely for find a real model of the geared set using the stress analysis in the pair of gears. The development off finite element analysis model. Allen Y. Sun, “An Experimental Study of the Dynamic Response of Spur Gears Having Tooth Index Errors”, MSc.

Nick Leque, “Development of Load Sharing Models for Double-Helical Epicyclic Gear Sets”, PhD. Maru Kang, “A Study of Quasi-Static and Dynamic Behavior of Double-Helical Gears”, PhD. Chapter 8 Finite element Analysis.

Introduction. Stress and Strain Computation. Finite Element Method. Element Types. Element Dimension and Degree of Freedom (DOF) Element Order. H-Elements Versus P-Elements. Element Aspect Ratio.

Meshing. Mesh Density. Mesh Refinement. Convergence. Boundary Conditions. Applying Loads. There is no one set of books that would work for everyone. You will need to scout out a few and try to find the best that suits your style.

Some books are too mathematical while others leave out a lot of essential math. So depending on one’s mathe. Face Gears have alternative gear-teeth configuration compared to Bevel Gears. Face Gear have a standard spur pinion as opposed to a bevel Gear. This work concentrates on modeling of a Face-gear, Meshed with a spur gear, using CAD Software and Finite Elements Analysis.

The bending stress developed at the gear teeth is determined. “Three-Dimensional Deflection Analysis of Gear Teeth Using Both Finite Element Analysis and a Tapered Plate Approximation,” AGMA Fall Technical Meeting, Busby, H.R., and Houser, D.R., “Plate Bending and Finite Element Analysis of Spur and Helical Gear Tooth Deflection,” AGMA Fall Techincal Meeting, Figure 7: (a) Asymmetric epicyclic gear stage stress isograms; (b) charts of sun gear, planet gear, and ring gear respectively.

Implementation of Asymmetric Epicyclic Tooth Gears. The first known application of epicyclic gears with asymmetric teeth was for the TVS turboprop engine gearbox. modeling & manufacturing of helical gear carried a iterative study to design the gear by AGMA & verified the results with ANSYS for the gear used in marine application with variation in material.

Ing. Schulze et. al.[11] Presented report on load distribution in planetary gears using MDESIGN software. The uniform load distribution on. The following shows the gear optimization in some case studies: Load distribution. Next to the load distribution factor Hβ K one of the important tasks of gear development is to optimize Figure 3 Design process of a gear as a system.

Figure 4 User interface of MDESIGN gearbox with 3-D-GearDesigner and result page (Ref. 10). Hybrid finite element analysis was used to analyze the influence of bearing stiffness on the static properties of a planetary gear system with manufacturing errors.

The effects of changes in stiffness were similar for most of the manufacturing errors. State variables were most affected by the stiffness of the planet bearings.

Floating either the sun or carrier helps to equal load sharing and. Based on the kinetic equations of the gear mesh impact, SPH discrete equations were established.

Numerical simulation was carried out on the meshing impact process of the gear, and stress and strain of each discrete point were obtained. After data processing, stress propagation was calculated, which shows stress distribution on tooth-profile surface.The load carrying capacity of gear transmissions depends strongly on design, material and operation conditions.

Modern analysis methods, e.g. finite element analysis (FEA), consider the above parameters with more or less sufficient accuracy. Yet it remains an ongoing challenge to account for backlash and manufacturing errors, despite a definite need to do so.After the simulation, we had get the contact response and the time history of some important area’s equivalent stress.

Through these work, we can study the contact stress of the two-stage gear system in theory method and finite element simulation method, which has a guiding significance on the optimum structural design of two-stage.

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