Load distribution in the worm meshing

• Autorzy: Sabiniak H. G.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1169

• Języki publikacji: EN

Abstrakty

EN

The paper presents a theoretical analysis of deflections of circular and rectangular cantilever plates of an elastically built-in edge. The problem has been solved using the finite difference method. A method of determination of load distribution between two plates being in contact along an arbitrary line has been presented. Different shapes of these plates constitute models of mating of cylindrical and globoidal worm meshings. To verify the presented theory of searching for load distributions along the contact lines in these meshings, experimental investigations with the freezing of stresses in the cylindrical worm meshing have been carried out. Directions of investigations that would specify further theoretical considerations over load distribution in globoidal gear meshings have been indicated.

Słowa kluczowe

EN

finite differences; circular plate; cantilever plates; worm teeth; load distribution

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1169--1181
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Sabiniak H. G.

• Technical University of Lodz, Łódź, Poland

Bibliografia

• 1. Buckingham E., 1960, Design and Manufacture of All Resection Worm and Spiral Gear Drives, The Industrial Press, New York
• 2. Crosher W.P., 2002, Design and Application of the Worm Gear, ASME, USA
• 3. Dud´as I., 2005, The Theory and Practice of Worm Gear Drives, Elsevier
• 4. Haymann J., Sabiniak H.G., 1993, Bestimmung der Spannungen in der Schneckengetriebeverzahnung mit Hilfe des Spannungsoptischen Erstarrungsverfahren, Zeszyty Naukowe Politechniki Łódzkiej, Mechanika, 83, 103-122
• 5. Jaramillo T.J., 1950, Deflections and moments due to a concentrated load on a cantilever plate of infinite length, Journal of Applied Mechanics, March, 67-72
• 6. Kączkowski Z., 1980, Plates – Static Calculations (in Polish), Arkady, Warszawa
• 7. Litwin B.L., 1959, Teoria zubczatych zaceplenii (in Russian), Izd. Nauka, Moskwa
• 8. Niemann G., Winter H., 1983, Maschinenelemente, Band III, Springer-Verlag, Berlin, Heidelberg, New York, Tokio
• 9. Predki W., 1991, Stand der Schneckengetriebeentwicklung, Konstruktion, 43, 233-238
• 10. Sabiniak H.G., 1982, Load distribution along the line of contact of two cantilever plates as models of thhet of a toothead gear (in Polish), Zeszyty Naukowe Politechniki Łódzkiej, Mechanika, 64, 71-82
• 11. Sabiniak H.G., 1986, Load distribution between two cantilever plates contacting each other along a straight line (in Polish), Zeszyty Naukowe Politechniki Łódzkiej, Mechanika, 70, 31-40
• 12. Sabiniak H.G., 1992, Lastverteilung l¨angesder Ber¨uhrungslinie zweier Kragplatten, betrachtet als Modell f¨ur die Z¨ahne eines Zylinder- und Globoidschneckengetriebes, Technische Universit¨at, Chemnitz, Dissertation B
• 13. Sabiniak H.G., 1996, Real meshing zone in worm gear (in Polish), Przegląd Mechaniczny, 20, 10-12, 18-20
• 14. Sabiniak H.G., 2007, Load Capacity and Durability of Worm Gears (in Polish), Monografie Politechniki Łodzkiej
• 15. Sabiniak H.G., 2012, The method of finite differences in solutions concerning circular plate, Key Engineering Materials., 490, 305-311
• 16. Sabiniak H.G., Woźniak K., 1988, Operating properties of the worm gear with a cavex worm and of circular-convex profil, Conference of Gearing, Zhengzhou, China
• 17. Timoshenko S., Woinowsky-Krieger S., 1959, Theory of Plates and Shells, Mc Grew Hill Book Company Inc., New York, Toronto, London
• 18. Umezawa K., 1974, The meshing test on helical gears under load transmission, Bulletin of the Japan Society of Mechanical Engineers, 17, 112
• 19. Umezawa K., Ishikawa J., Hayashi K., 1969, Deflections due to a concentrated load on a cantilever thick plate of finite length gears, Bulletin of the Japan Society of Mechanical Engineers, 12, 53

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.