49 research outputs found
Mathematical model of load distribution in rolling bearing
SpoljaÅ”nje optereÄenje kotrljajnog ležaja se sa jednog prstena na drugi prenosi preko kotrljajnih tela. Pri tome je raspodela optereÄenja na kotrljajna tela neravnomerna. Stepen neravnomernosti raspodele optereÄenja zavisi od unutraÅ”nje geometrije ležaja i intenziteta spoljaÅ”njeg optereÄenja. U ovom radu su definisana i razmatrana dva graniÄna sluÄaja raspodele optereÄenja kod kugliÄnog kotrljajnog ležaja optereÄenog spoljaÅ”njim radijalnim optereÄenjem. To su idealno ravnomerna i izrazito neravnomerna raspodela optereÄenja. Stvarna raspodela optereÄenja je izmeÄu ova dva graniÄna sluÄaja. Novi matematiÄki model raspodele optereÄenja je razvijen na osnovu klasiÄne teorije kotrljajnih ležaja i uvoÄenjem nove originalne veliÄine, definisane kao faktor raspodele optereÄenja. Razvijeni matematiÄki model obuhvata sve pomenute relevantne uticaje na raspodelu optereÄenja u kotrljajnom ležaju (broj kotrljajnih tela u ležaju, unutraÅ”nji radijalni zazor i spoljaÅ”nje optereÄenje).External load of rolling bearing is transferred from one ring to the other one through the rolling elements. Load distribution between rolling elements is unequal. Degree of load distribution unequality depends on internal geometry of bearing and magnitude of external load. Two boundary load distributions in radially loaded ball bearing were defined and discussed in this paper. These are ideally equal and extremely unequal load distribution. Real load distribution is between these boundary cases. The new mathematical model of load distribution is developed respecting classic rolling bearing theory and by introduction of new, original value defined as load distribution factor. Developed mathematical model includes all main influences on load distribution in rolling bearing (number of rolling elements, internal radial clearance and external load)
Mathematical model of load distribution in rolling bearing
SpoljaÅ”nje optereÄenje kotrljajnog ležaja se sa jednog prstena na drugi prenosi preko kotrljajnih tela. Pri tome je raspodela optereÄenja na kotrljajna tela neravnomerna. Stepen neravnomernosti raspodele optereÄenja zavisi od unutraÅ”nje geometrije ležaja i intenziteta spoljaÅ”njeg optereÄenja. U ovom radu su definisana i razmatrana dva graniÄna sluÄaja raspodele optereÄenja kod kugliÄnog kotrljajnog ležaja optereÄenog spoljaÅ”njim radijalnim optereÄenjem. To su idealno ravnomerna i izrazito neravnomerna raspodela optereÄenja. Stvarna raspodela optereÄenja je izmeÄu ova dva graniÄna sluÄaja. Novi matematiÄki model raspodele optereÄenja je razvijen na osnovu klasiÄne teorije kotrljajnih ležaja i uvoÄenjem nove originalne veliÄine, definisane kao faktor raspodele optereÄenja. Razvijeni matematiÄki model obuhvata sve pomenute relevantne uticaje na raspodelu optereÄenja u kotrljajnom ležaju (broj kotrljajnih tela u ležaju, unutraÅ”nji radijalni zazor i spoljaÅ”nje optereÄenje).External load of rolling bearing is transferred from one ring to the other one through the rolling elements. Load distribution between rolling elements is unequal. Degree of load distribution unequality depends on internal geometry of bearing and magnitude of external load. Two boundary load distributions in radially loaded ball bearing were defined and discussed in this paper. These are ideally equal and extremely unequal load distribution. Real load distribution is between these boundary cases. The new mathematical model of load distribution is developed respecting classic rolling bearing theory and by introduction of new, original value defined as load distribution factor. Developed mathematical model includes all main influences on load distribution in rolling bearing (number of rolling elements, internal radial clearance and external load)
Influence of the geometry parameters of cardan joint rolling parts on the load distribution
Kardanove spojnice se Å”iroko primenjuju u maÅ”instvu zbog moguÄnosti prenoÅ”enja optereÄenja i obrtnog kretanja sa jednog vratila na drugo, Äije se ose meÄusobno seku pod promenljivim uglom. Vitalni delovi ovih spojnica imaju ograniÄeni radni vek zbog nedovoljne povrÅ”inske ÄvrstoÄe kontaktnih povrÅ”ina spregnutih delova. Raspodela optereÄenja spregnutih delova Kardanove spojnice ima veliki uticaj na nosivost i njihov radni vek. U tom cilju, u ovom radu, detaljno je analizirana raspodela optereÄenja duž linije dodira rukavca Kardanovog krsta i kotrljajnih tela - iglica. Razvijeni su odgovarajuÄi analitiÄki i numeriÄki modeli. Na osnovu razvijenih modela, moguÄe je izvrÅ”iti optimizaciju geometrijskih veliÄina sa aspekta ravnomernosti raspodele optereÄenja spregnutih delova Kardanove spojnice.Cardan joints have a wide range of applications in mechanical engineering because of the capability of transferring the load and motion from one shaft to another with different joint angle. The vital parts of these joints have a limited life due to insufficient surface strength in the area of rolling parts contact. Load distribution of Cardan joints composite parts have a major impact on their capacity and service life. Therefore, a detailed analysis of load distribution along the line of contact between Cardan Cross pins and rolling parts - needles, was carried out in this paper. Appropriate analytical and numerical models are developed. Based on the developed models, it is possible to optimize the geometrical parameters in terms of uniformity of load distribution of Cardan joints component in contact
Construction variation of packing machine in food processing
U radu je prikazano varijantno konstrukciono reÅ”enje maÅ”ine za pakovanje prehrambenih proizvoda. Na osnovu tehno-ekonomske analize pokazano je da originalno i varijantno konstrukciono reÅ”enje imaju približno istu tehniÄku vrednost, s tim Å”to varijantna konstrukcija ima veÄu ekonomsku vrednost opravdanost. Ekonomska opravdanost postignuta je pogodnim konstrukcionim reÅ”enjem i primenom domaÄih komponenti i tehnologije izrade.The construction variation of packing machine in food processing is shown in this paper. By the techno-economic analyses it is shown that original and new construction has the same construction value, but the new construction has a better economic value ā validity. Better economic value has achieved with new construction and engaging domestic components and production technology
Construction variation of packing machine in food processing
U radu je prikazano varijantno konstrukciono reÅ”enje maÅ”ine za pakovanje prehrambenih proizvoda. Na osnovu tehno-ekonomske analize pokazano je da originalno i varijantno konstrukciono reÅ”enje imaju približno istu tehniÄku vrednost, s tim Å”to varijantna konstrukcija ima veÄu ekonomsku vrednost opravdanost. Ekonomska opravdanost postignuta je pogodnim konstrukcionim reÅ”enjem i primenom domaÄih komponenti i tehnologije izrade.The construction variation of packing machine in food processing is shown in this paper. By the techno-economic analyses it is shown that original and new construction has the same construction value, but the new construction has a better economic value ā validity. Better economic value has achieved with new construction and engaging domestic components and production technology
Influence of the geometry parameters of cardan joint rolling parts on the load distribution
Kardanove spojnice se Å”iroko primenjuju u maÅ”instvu zbog moguÄnosti prenoÅ”enja optereÄenja i obrtnog kretanja sa jednog vratila na drugo, Äije se ose meÄusobno seku pod promenljivim uglom. Vitalni delovi ovih spojnica imaju ograniÄeni radni vek zbog nedovoljne povrÅ”inske ÄvrstoÄe kontaktnih povrÅ”ina spregnutih delova. Raspodela optereÄenja spregnutih delova Kardanove spojnice ima veliki uticaj na nosivost i njihov radni vek. U tom cilju, u ovom radu, detaljno je analizirana raspodela optereÄenja duž linije dodira rukavca Kardanovog krsta i kotrljajnih tela - iglica. Razvijeni su odgovarajuÄi analitiÄki i numeriÄki modeli. Na osnovu razvijenih modela, moguÄe je izvrÅ”iti optimizaciju geometrijskih veliÄina sa aspekta ravnomernosti raspodele optereÄenja spregnutih delova Kardanove spojnice.Cardan joints have a wide range of applications in mechanical engineering because of the capability of transferring the load and motion from one shaft to another with different joint angle. The vital parts of these joints have a limited life due to insufficient surface strength in the area of rolling parts contact. Load distribution of Cardan joints composite parts have a major impact on their capacity and service life. Therefore, a detailed analysis of load distribution along the line of contact between Cardan Cross pins and rolling parts - needles, was carried out in this paper. Appropriate analytical and numerical models are developed. Based on the developed models, it is possible to optimize the geometrical parameters in terms of uniformity of load distribution of Cardan joints component in contact
Mathematical model of energy efficiency in internal spur gears
The impact of geometric parameters of teeth and lubricating oils to the efficiency of involute internal spur gears, when the transverse contact ratio is 2 lt epsilon(alpha) lt = 3, has been analyzed in this paper. The mathematical model and computer program for determining the current and the effective value of the efficiency have been developed. The influence of the character of load distribution and energy losses due to heating effects during the meshing period is included in the factor of load distribution. The results of computer simulation are given in the form of a diagram of the current values of the efficiency during the meshing period. Also, the values of effective efficiency for the considered cylindrical gear pairs have been calculated
Mathematical model of energy efficiency in internal spur gears
The impact of geometric parameters of teeth and lubricating oils to the efficiency of involute internal spur gears, when the transverse contact ratio is 2 lt epsilon(alpha) lt = 3, has been analyzed in this paper. The mathematical model and computer program for determining the current and the effective value of the efficiency have been developed. The influence of the character of load distribution and energy losses due to heating effects during the meshing period is included in the factor of load distribution. The results of computer simulation are given in the form of a diagram of the current values of the efficiency during the meshing period. Also, the values of effective efficiency for the considered cylindrical gear pairs have been calculated