Mathematical approach to evaluate involute gear profile and helix deviations without using special gear software
The result's identifiers
Result code in 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>
Alternative codes found
RIV/00177016:_____/19:N0000156
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Mathematical approach to evaluate involute gear profile and helix deviations without using special gear software
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20301 - Mechanical engineering
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
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.
Data specific for result type
Name of the periodical
Mechanism and Machine Theory
ISSN
0094-114X
e-ISSN
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Volume of the periodical
135
Issue of the periodical within the volume
January
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
150-164
UT code for WoS article
000460291700011
EID of the result in the Scopus database
2-s2.0-85061198798