A New Approach for Designing Gear Profiles using Closed Complex Equations

Laczik, Bálint; Zentay, Péter; Horváth, Richárd

doi:10.12700/aph.11.06.2014.06.10

Cited by 2 publications

(1 citation statement)

References 4 publications

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“…In this perspective, during the last years, seeking the solution of nonlinear models has been an important topic in mathematical physics. One important nonlinear equation is the generalized Burgers-Huxley equation [1,2,3,4,5] …”

Section: Introductionmentioning

confidence: 99%

Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

2016

APH

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In this paper, a weighted algorithm, based on the reduced differential transform method, is introduced. The new approach is adopted in the approximate analytical solution of the Cauchy problem for the Burgers-Huxley equation. The proposed scheme considers the initial and boundary conditions simultaneously for obtaining a solution of the equation. Several examples are discussed demonstrating the performance of the algorithm.

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Section: Introductionmentioning

confidence: 99%

Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

2016

APH

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Spur gear design, manufacturing and noise analysis according to rolling method using complex numbers

Yazar¹,

YANIKÖREN²

2021

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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In this study, a software has been improved for parametric drawing and modeling of spur gear using complex numbers in the CAD setting. AutoLISP programming language was used in software development. In the system, parameters such as module and number of teeth can be entered by the user and drawing or modeling of the gears in the CAD environment can be done automatically. This study provides the designer with fast and functional and more precise utility alternative for gear drawing and modeling. In addition, within the scope of the study, the same number of teeth and at the module spur gear were designed in the AutoCAD package program with the classical method. Spur gears, designed in AutoCAD program with the developed package program and classical method, were produced on the wire EDM machine by deriving cutting codes in the MasterCAM program. Noise analysis of the produced spur gear pairs has been made. It was determined that the spur gear pair, designed and produced with the package program developed within the scope of the study, operates approximately 8 dB less noise than the spur gear designed and produced with the classical method. It is possible to design and manufacture the gear in the desired profile by changing the cutter profile for non-standard thread shapes to provide the performance required for a tool and standard tool parameters. For further investigations, spur gears produced by round-ended cutters can be applied symmetrically and asymmetrically.

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A New Approach for Designing Gear Profiles using Closed Complex Equations

Cited by 2 publications

References 4 publications

Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

Spur gear design, manufacturing and noise analysis according to rolling method using complex numbers

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