Load capacity and degree of efficiency of cylindrical gear pairs in multiple mesh conditions

U domenu prenosa i transformacije snage od pogonske do radne mašine zupčasti parovi zbog kompaktnosti konstrukcije, velike pouzdanosti i nosivosti imaju najveću primenu u poređenju sa drugim prenosnicima snage koji obavljaju istu elementarnu funkciju. Saglasno tome, istraživanja u oblasti zupčastih parova imaju značajan doprinos u razvoju savremenih mašinskih konstrukcija. Predmet istraživanja ove doktorske disertacije je razvoj preciznijih matematičkih modela raspodele opterećenja na istovremeno spregnute parove zubaca, kada se u toku dodirnog perioda zubaca smenjuju dvostruka i trostruka sprega, kao i razvoj preciznijih matematičkih modela za analizu uticaja raspodele opterećenja na nosivost korena zubaca i energetsku efikasnost cilindričnih zupčastih parova. Sprovedena istraživanja u ovoj doktorskoj disertaciji su dovela do sledećih rezultata: Razjašnjenje fenomena raspodele opterećenja na istovremeno spregnute parove zubaca u uslovima dvostruke i trostruke sprege, kao i formiranje tačnijih modela za sagledavanje istovremenog uticaja tačnosti izrade, krutosti zubaca i intenziteta opterećenja na karakter raspodele opterećenja. Definisanje tačnijeg kriterijuma za određivanje napona u korenu zupca merodavnog za proveru radne sposobnosti zubaca sa aspekta zapreminske čvrstoće. Njegovom implementacijom u konvencionalne postupke proračuna ISO/DIN standarda, značajno bi se povećao nivo pouzdanosti podataka o radnim i kritičnim vrednostima napona u korenu zupca. Razvijanje tačnijih modela za analizu energetske efikasnosti zupčastih parova na osnovu stepena iskorišćenja.In the field of transmission and transformation of power from the drive to the working machine, due to the compact construction, high reliability and load capacity, the gear pairs have the greatest application compared to other power transmissions that perform the same elementary function. Accordingly, research in the field of gear pairs has a significant contribution to the development of modern machine constructions. The research topic of this doctoral dissertation is the development of more precise mathematical models of load distribution in simultaneously meshed teeth pairs, when during the contact period of the teeth the double and triple mesh take turns, as well as the development of more precise mathematical models for analyzing the influence of the load distribution on the teeth root load capacity and the energy efficiency of the cylindrical gear pairs. The research carried out in this doctoral dissertation led to the following results: Clarification of the load distribution phenomenon in simultaneously meshed teeth pairs in double and triple mesh conditions, as well as the formation of more accurate models for examining the simultaneous effect of the accuracy of production, stiffness of the teeth and load intensity on the load distribution character. Defining a more precise criterion for determining the tooth root stress relevant for checking the working ability of the teeth rating from the aspect of bending strength. It implementing in the conventional procedures of the ISO/DIN standard calculation, the level of reliability of data on the working and critical values of the tooth root stress would be significantly increased. Developing more accurate models for the analysis of the energy efficiency of gear pairs based on the degree of efficiency