Effect of structure and assembly constraints on temperature of high-speed angular contact ball bearings with thermal network method

Influence of the Bearing Thermal Deformation on Nonlinear Dynamic Characteristics of an Electric Drive Helical Gear System

“…The axial and radial thermal deformation will occur between the inner and outer rings of the bearing and change the contact angle of the inner and outer rings of the bearing. Under the stable working condition, the temperature difference between bearing, gearbox, and shaft system is small, and the heat radiation effect on the thermal behaviors of bearings is little, so that the influence of heat radiation can be ignored [40]. Thermal nodes are set at different points of the bearing and connected as a heat network in the form of heat resistance, as shown in Figure 7.…”

“…The heat is transmitted from balls to oil-gas mixture by the corresponding resistance R b-og . R o-og is the convective heat resistance which is used to depict the heat transfer between balls and oil-gas [40,41]. The lubrication method of the system is to force the lubrication through oil injection at the end cover of the bearing as shown the oil nozzle (blue) in Figure 1.…”

“…(2) The three-dimensional heat transfer model is simplified into a one-dimensional model radial heat transfer [35,40,42], and the heat generation in the contact zone is caused by friction losses and rolling resistance; (3) The influence of temperature rise on the lubricating oil performance is ignored; (4) The flow rate of the cooling fluid is large enough so that the fluctuating temperature of the fluid is not considered, and the temperature of the oil-gas mixture is assumed to be fixed at 28 • C; (5) The material of all parts is assumed to be isotropic.…”

“…where, T s is the temperature of the transmission shaft node, T ci is the temperature of the node at the contact point between the inner ring of the bearing and the shaft, T og is the temperature of the gas-oil mixture, T i is the temperature of the inner raceway node, T b is the temperature of the ball node, T o is the temperature of the outer raceway node, T co is the temperature at the contact point between the outer ring and the bearing seat, and T a is the air temperature. The force oil cooling system, which is applied in Figure 1, can help to contain the temperature of the system and reduce the error as described in [40,43]. In addition, the fluctuating temperature of the fluid was neglected, as mentioned in assumption (4).…”

“…where, q is the heat; C is the width of the outer ring. shaft system is small, and the heat radiation effect on the thermal behaviors of bearings is little, so that the influence of heat radiation can be ignored [40]. Thermal nodes are set at different points of the bearing and connected as a heat network in the form of heat resistance, as shown in Figure 7.…”