Mathematical approach to evaluate involute gear profile and helix deviations without using special gear software

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F19%3A00331021" target="_blank" >RIV/68407700:21220/19:00331021 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00177016:_____/19:N0000156

Výsledek na webu

<a href="https://doi.org/10.1016/j.mechmachtheory.2019.01.030" target="_blank" >https://doi.org/10.1016/j.mechmachtheory.2019.01.030</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.mechmachtheory.2019.01.030" target="_blank" >10.1016/j.mechmachtheory.2019.01.030</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical approach to evaluate involute gear profile and helix deviations without using special gear software

Popis výsledku v původním jazyce

The paper presents mathematical-geometrical approach to evaluate profile and helix deviations of cylindrical involute gear tooth flank without the usage of any specialised gear measurement software. The input data for the evaluation is represented by a set of Cartesian coordinates of surface points (points of contact between the measuring stylus and the measured surface) measured along the profile and flank curves by CAD based tactile gear measurement on coordinate measuring machine. This approach is based on deep study of ISO standards dealing with gear geometry, gear measurement and gear characteristics evaluation. Here, the development of general mathematical model of both helical and spur involute gear tooth flank surfaces is described and geometrical properties of these surfaces (important for corresponding CAD model generation) are mentioned. For practical application, mathematical formulas for calculation of profile and helix deviations from a set of measured points are derived. Due to the purely mathematical approach, no special gear measurement software is necessary for evaluation of profile and helix deviations. The required characteristics of involute gears can be evaluated by means of any general-purpose spreadsheet software. The presented method can be used not only in case of regular involute gear profile and helix inspection but mainly in case of those gear measurement standards that could not be measured as regular gears by commercial software because of unusual shape and design of the standards.

Název v anglickém jazyce

Mathematical approach to evaluate involute gear profile and helix deviations without using special gear software

Popis výsledku anglicky

The paper presents mathematical-geometrical approach to evaluate profile and helix deviations of cylindrical involute gear tooth flank without the usage of any specialised gear measurement software. The input data for the evaluation is represented by a set of Cartesian coordinates of surface points (points of contact between the measuring stylus and the measured surface) measured along the profile and flank curves by CAD based tactile gear measurement on coordinate measuring machine. This approach is based on deep study of ISO standards dealing with gear geometry, gear measurement and gear characteristics evaluation. Here, the development of general mathematical model of both helical and spur involute gear tooth flank surfaces is described and geometrical properties of these surfaces (important for corresponding CAD model generation) are mentioned. For practical application, mathematical formulas for calculation of profile and helix deviations from a set of measured points are derived. Due to the purely mathematical approach, no special gear measurement software is necessary for evaluation of profile and helix deviations. The required characteristics of involute gears can be evaluated by means of any general-purpose spreadsheet software. The presented method can be used not only in case of regular involute gear profile and helix inspection but mainly in case of those gear measurement standards that could not be measured as regular gears by commercial software because of unusual shape and design of the standards.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

C - Předmět řešení projektu podléhá obchodnímu tajemství (§ 504 Občanského zákoníku), ale název projektu, cíle projektu a u ukončeného nebo zastaveného projektu zhodnocení výsledku řešení projektu (údaje P03, P04, P15, P19, P29, PN8) dodané do CEP, jsou upraveny tak, aby byly zveřejnitelné.

Název periodika

Mechanism and Machine Theory

ISSN

0094-114X

e-ISSN

—

Svazek periodika

135

Číslo periodika v rámci svazku

January

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

150-164

Kód UT WoS článku

000460291700011

EID výsledku v databázi Scopus

2-s2.0-85061198798