Beveloid dişli çarkların modellenmesi ve alttan kesme analizi

Abstract

 Mathematical Modelling of Beveloid Gears  Methods for Avoiding Undercutting  Verification with Finite Element Analysis Figure A. Designing process and the stress values of the FEM analysis for the beveloid gear model. Purpose: The purpose of this study is to obtain a mathematical model for the beveloid gear types to have a 3 dimensional CAD model and also implement methods to prevent undercutting. Theory and Methods: For obtaining the mathematical models and forming the cross sectional and 3 dimensional geometries of the gears, MATLAB and SOLIDWORKS software has been used. The finite element analysis has been done by aid of ABAQUS. Results: With the aid of the mathematical models, 3 dimensional beveloid gear models has been generated for different design parameters. To avoid undercutting, two different modelling technics such as positive profile shifting and modelling with asymmetrical rack cutter has been used and cross sectional views have showed that especially for the regions around the gear roots, undercutting occurrence is reduced. Also the maximum stress values on the gear roots which received from the finite element analysis are σ = 28.06 MPa and σ = 25.50 MPa for the regular conical model and asymmetrical rack cutter application respectively. Conclusion: The analysis results indicate that the strength of the gear teeth can be increased by avoiding undercutting. To provide that, positive profile shifting and asymmetric rack cutter methods can be used. For this purpose, modifications on the mathematical models can easily be used and, CAD models can be imported into the finite element analyzing programs.

Kremayer tipi takımla imal edilen evolvent dişli çarkların genelleştirilmiş matematik modeli

“…Yazar ve Özdemir, kremayer takım geometrisinden hareketle kutupsal denklemlerden ve kompleks sayılardan faydalanarak eliptik dişli çark geometrisini CAD ortamında elde etmiş ve eliptik dişli çarkların imalatını tel erozyon tezgahında gerçekleştirmişlerdir [9]. Literatürdeki mevcut matematik modellerden hareketle Şentürk konikvari dişli çarkların 3-B modelini oluşturup Eriyik Yığma Modelleme yöntemi ile imalatını gerçekleştirmiştir [10]. Gerek pinyon-tipi ve gerekse kremayer-tipi takımların ve imal edilen dişli çarkların modellenmesinde vektör metodu tercih edilmektedir [11].…”

Interference in External and Internal Gears

“…Gerek kremayer-tipi ve gerekse pinyon-tipi takımlarla imal edilen dişlilerin matematik modellenmesini ele alan çok sayıda çalışma mevcuttur (Brauer, 2004;Chang ve Tsay, 1998;Chen, Song, Zhu, Du ve Ni, 2017;Fetvacı, 2018;Fetvacı, 2019;Litvin ve Fuentes, 2004;Liu ve Tsay, 2001;Şentürk ve Fetvacı, 2020;Yang, 2005). Literatürden hareketle bu çalışmada BASIC programlama dili ile PC-BASIC editöründe programlar hazırlanmıştır.…”