Modal analysis and simulation on effect of correction factor (cf) in spur gear tooth profile

Fine finishing of spur gears reduces the vibrations and noise and upsurges the service life of two mating gears. A new magnetorheological gear profile finishing (MRGPF) process is utilized for the fine finishing of spur gear teeth profile surfaces. In the present study, the development of a theoretical mathematical model for the prediction of change in surface roughness during the MRGPF process is done. The present MRGPF is a controllable process with the magnitude of the magnetic field, therefore, the effect of magnetic flux density (MFD) on the gear tooth profile has been analyzed using an analytical approach. Theoretically calculated MFD is validated experimentally and with the finite element analysis. To understand the finishing process mechanism, the different forces acting on the gear surface has been investigated. For the validation of the present roughness model, three sets of finishing cycle experimentations have been performed on the spur gear profile by the MRGPF process. The surface roughness of the spur gear tooth surface after experimentation was measured using Mitutoyo SJ-400 surftest and is equated with the values of theoretically calculated surface roughness. The results show the close agreement which ranges from −7.69% to 2.85% for the same number of finishing cycles. To study the surface characteristics of the finished spur gear tooth profile surface, scanning electron microscopy is used. The present developed theoretical model for surface roughness during the MRGPF process predicts the finishing performance with cycle time, improvement in the surface quality, and functional application of the gears.

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Teeth Wear Enhancement Along the Tooth Profile of Spur Gear Drive by Balancing the Fillet Stress Through Positive Correction Factor

Advances in Simulation, Product Design and Development - Lecture Notes on Multidisciplinary Industrial Engineering ◽

10.1007/978-981-32-9487-5_37 ◽

2019 ◽

pp. 459-468

Author(s):

R. Ravivarman ◽

K. Palaniradja ◽

R. Prabhu Sekar

Keyword(s):

Correction Factor ◽

Spur Gear ◽

Tooth Profile ◽

Gear Drive

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Explicit Parametric Method for Optimal Spur Gear Tooth Profile Definition

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.633.87 ◽

2013 ◽

Vol 633 ◽

pp. 87-102 ◽

Cited By ~ 5

Author(s):

Ivana Atanasovska ◽

Radivoje Mitrovic ◽

Dejan Momcilovic

Keyword(s):

Gear Tooth ◽

Load Capacity ◽

Parametric Method ◽

Spur Gear ◽

Tooth Profile ◽

Spur Gears ◽

Element Analysis ◽

Engineering Research ◽

Profile Optimization ◽

Current Engineering

The gear tooth profile has an immense effect on the main operating parameters of gear pairs (load capacity, working life, efficiency, vibrations, etc). In current engineering research and practice, there is a strong need to develop methods for tooth profile optimization. In this paper a new method for selecting the optimal tooth profile parameters of spur gears is described. This method has been named the Explicit Parametric Method (EPM). The addendum modification coefficient, radius of root curvature, and pressure angle of the basic rack for cylindrical gears, have been identified as the main tooth profile parameters of spur gears. Therefore, the EPM selects the optimal values for these three tooth profile parameters. Special attention has been paid to develop a method of adjustment for the particular working conditions and explicit optimization requirements. The EPM for optimal tooth profile parameters of gears uses contact nonlinear Finite Element Analysis (FEA) for calculation of deformations and stresses of gear pairs, in addition to explicit comparative diagrams for optimal tooth profile parameter selection.

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Further Evaluation of Spur Gear Tooth Profile Designs Used in Heavily Loaded Transmissions

Volume 8: 11th International Power Transmission and Gearing Conference; 13th International Conference on Advanced Vehicle and Tire Technologies ◽

10.1115/detc2011-47404 ◽

2011 ◽

Author(s):

Nihat Yıldırım ◽

Hakan I˙s¸c¸i ◽

Abdullah Akpolat

Keyword(s):

Gear Tooth ◽

Transmission Error ◽

Spur Gear ◽

Tooth Profile ◽

Design Parameters ◽

Preference Order ◽

Spur Gears ◽

Tooth Root ◽

Contact Ratio ◽

Practical Applications

Aerospace applications require special procedures for component design and manufacturing. Spur gears of different designs, because of their simpler geometries, are used in vital units-transmissions of helicopters and alike aerospace vehicles. In this study, performances of various profile designs of previously researched low and high contact ratio spur gears with some realistic design parameters are studied. Effects of the realistic parameters of variable tooth pair stiffness, relief shape, and adjacent pitch error on Transmission Error (TE), tooth loads and root stresses are presented; composition of these parameters determines the efficiency of the gearbox assembly. Detail of minimization of tooth root stress through optimized/proper design of relief is described. More comprehensive comparison of the gear tooth profile design cases is done to be able to guide aerospace transmission designers for practical applications with realistic parameters for each of the design cases. A preference order is done among the design cases, depending on effect of some design parameters on the results such as tooth loads, tooth root stresses, TE curves and peak-to-peak TE values.

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An Improved Determination of the Elastic Compliance of a Spur Gear Tooth Acted on by a Concentrated Load

Journal of Engineering for Industry ◽

10.1115/1.3438340 ◽

1974 ◽

Vol 96 (2) ◽

pp. 382-384 ◽

Cited By ~ 2

Author(s):

A. Premilhat ◽

G. V. Tordion ◽

C. N. Baronet

Keyword(s):

Gear Tooth ◽

Spur Gear ◽

Elastic Compliance ◽

Tooth Profile ◽

Concentrated Load ◽

Complex Transformation ◽

Stress Functions

The elastic compliance of a spur gear tooth acted on by a concentrated load is determined through the use of appropriate stress functions resulting from the complex transformation of the tooth profile. Comparisons with previously published results indicate a slightly greater flexibility of the tooth resulting from this analysis.

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Mesh stiffness modeling considering actual tooth profile geometry for a spur gear pair

Mechanics & Industry ◽

10.1051/meca/2018026 ◽

2018 ◽

Vol 19 (3) ◽

pp. 306 ◽

Cited By ~ 1

Author(s):

Yong Yang ◽

Jiaxu Wang ◽

Qinghua Zhou ◽

Yanyan Huang ◽

Jinxuan Zhu ◽

...

Keyword(s):

Gear Tooth ◽

Analytical Description ◽

Element Model ◽

Spur Gear ◽

Tooth Profile ◽

Mesh Stiffness ◽

Gear Mesh ◽

Proposed Model ◽

Tooth Stiffness ◽

Gear Mesh Stiffness

Some tooth profile geometric features, such as root fillet area, flank modification and wear are of nonnegligible importance for gear mesh stiffness. However, due to complexity of analytical description, their influence on mesh stiffness was always ignored by existing research works. The present work derives analytical formulations for time-varying gear mesh stiffness by using parametric equations of flank profile. Tooth geometry formulas based upon a rack-type tool are derived following Litvin's vector approach. The root fillet area and tooth profile deviations can therefore be fully considered for spur gear tooth stiffness evaluation. The influence of gear fillet determined by tip fillet radius of the rack-type tool is quantified parametrically. The proposed model is validated to be effective by comparing with a finite element model. Further, the model is applied to investigate the stiffness variations produced by tooth addendum modification, tooth profile nonuniform wear and modification.

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Dynamic Tooth Loads and Stressing for High Contact Ratio Spur Gears

Journal of Mechanical Design ◽

10.1115/1.3453897 ◽

1978 ◽

Vol 100 (1) ◽

pp. 69-76 ◽

Cited By ~ 23

Author(s):

R. W. Cornell ◽

W. W. Westervelt

Keyword(s):

Dynamic Model ◽

Gear Tooth ◽

Closed Form Solution ◽

Time History ◽

Spur Gear ◽

Form Solution ◽

Tooth Profile ◽

Contact Ratio ◽

Modification System ◽

Work Done

A time history, closed form solution is presented for a dynamic model of spur gear systems for all practical contact ratios. The analysis determines the dynamic response of the gear system and the associated tooth loads and stressing. The dynamic model is based on work done by Richardson and Howland [2, 3], and assumes the two gears act as a rigid inertia and the teeth act as a variable spring of a dynamic system excited by the meshing action of the teeth. Included in the analysis are the effects of the non-linearity of the tooth pair stiffness during mesh, the tooth errors, and the tooth profile modifications. Besides reviewing the features, solution, and program of this analysis, preliminary results from applying the analysis are presented, which show that tooth profile modification, system inertia and damping, and system critical speeds can affect the dynamic gear tooth loads and stressing significantly.

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