TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
Graphics of the Involute Profile for Gear Drawing
(Grafica profilului evolventic utilizat în reprezentarea roţilor dinţate)
Vol LXII • No. 4B/2010
Ion Florea, Nicoleta Rizea, Ioan Popa
Universitatea Petrol - Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: florea.ion@gmail.com

 Keywords   involute curve, gear, AutoLISP.

 Abstract
In this paper, the authors present a program written in AutoLISP, with the aim of drawing the involute profile. All the steps of a gear representation are presented. It is well known that the involute curve profile for gears has a wide use and, usually, its representation in graphics is approximated by different curves. Rarely, the involute profile is drawn by calculated points. After establishing the necessary formulae in order to obtain the mathematical expression of the involute, the authors present the computer program named "Involute", using AutoLISP, which calculates many points' coordinates connected with a polyline.

 Rezumat
In această lucrare, autorii prezintă un program realizat în AutoLISP, cu scopul de a desena profilul evolventei. Toţi paşii necesari reprezentării corecte a unei roţi dinţate sunt prezentaţi în continuare. Se cunoaşte că profilul evolentei este larg răspândit în construcţia roţilor dinţate şi că, de obicei, aceasta este reprezentată aproximativ, de cele mai multe ori, prin diverse curbe. Rareori, profilul evolventei este desenat prin puncte cu coordonate calculate. După stabilirea formulelor necesare pentru obţinerea expresiilor matematice ale evolventei, autorii prezintă programul numit "Involute", utilizând AutoLISP, cu ajutorul căruia se calculează un număr suficient de puncte, cu coordonatele legate de o polilinie, astfel încât profilul rezultat al evolventei să fie unul foarte aproape de cel stabilit matematic.



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