Optimization and unification of two - stage helical gear reducer

• Autorzy: Krasiński M. , Trojnacki A.
• Języki publikacji: EN

Abstrakty

EN

Gears were used in ancient times although in a primitive form. A turning point in the rapid development of gears was in the late nineteenth and early twentieth century. In this time the invention of high-performance tools, highresistant materials and the creation of sufficient, accurate methods of heat and chemical treatment took place. Further improvement by optimizing the transmission structure, and the unification of its components is of great practical and economic importance. These problems are presented in this contribution. In particular, this paper deals with the problem of optimization and unification of two stage helical gear reducer with axial and opposite input and output shafts. The basic goal of this study is to unify the case because the case is one of the most expensive transmission elements. In connection with that, it is possible to put into the same case different sets of wheels to obtain predetermined different total gear ratios. An optimization procedure is very useful for a choice of the set of gear wheels. The total mass of gear wheels is assumed as an objective function. Equality and inequality restriction conditions are determined with respect to the standard recommendations and the literature. The center distance between the shafts is obtained through the optimization procedure imposed on the stage of the reducer which is subjected to the maximum load. The center distance after rounding is used next as a parameter in all variants of the reducer. The general formulation of the problem is presented for the considered engineering example. The numerical calculations are carried out for the specific data.

Słowa kluczowe

EN

transmission; gear reducer; helical gear; optimization; unification of gears

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2013
• Tom: Vol. 20, No. 2
• Strony: 213--219
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Krasiński M.

• Cracow University of Technology Department of Mechanical Engineering Jana Pawla II Av. 37, 31-864 Krakow, Poland tel.: + 48 12 3743368, + 48 12 3743306, fax: + 48 12 3743360

autor

Trojnacki A.

• Cracow University of Technology Department of Mechanical Engineering Jana Pawla II Av. 37, 31-864 Krakow, Poland tel.: + 48 12 3743368, + 48 12 3743306, fax: + 48 12 3743360

Bibliografia

• [1] Dziama, A., Michniewicz, M., Niedźwiecki, A., Gears, PWN, Warsaw 1995 (in Polish).
• [2] Krasiński, M., Trojnacki, A., Unification of two stage helical gear transmission, Technical Transactions, 1-M/2010, Z. 7, pp. 41-51, Cracow 2010, (in Polish).
• [3] Müller, L., Gears. Design, WNT, Warsaw 1993, (in Polish).
• [4] Osiński, Z., Wróbel, J., Theory of machine design, PWN, Warsaw 1995, (in Polish).
• [5] Collective work edited by Dietrich, M., Fundamentals of machine design, Vol. 3, WNT, Warsaw 1999, (in Polish).
• [6] Standard PN-ISO 6336-1/2/3.