| Spiral bevel gears could generate a large heat load which caused by friction, the tooth surface temperature is so high that it could lead the gear scuffing failure. Non-uniform temperature field existed in the teeth is not only caused the elastic deformation of thermal gear, which can generate additional thermal stress, but also eliminate the gear drive's clearance, which could greatly affect the spiral bevel gear of the transmission performance, lubrication performance and reliability. With the development and application of spiral bevel gear in high speed, heavy-load and quality of light, it is necessary for us to study bulk temperature of spiral bevel gear. At the present the research is study steady bulk temperature of spiral bevel gear, and it is less to study transient bulk temperature field of the spiral bevel gears.Based on the theory and numerical simulation, the problem of the steady and transientbulk temperature field of the spiral bevel gears can be transformed into how to solve line are equations. Based on the finite element method, it is study that steady and transient bulk temperature of spiral bevel gear is calculated. The effect of speed, torque, oil inlet temperature and geometrical parameters of gear is analyzed on steady and transient bulk temperature distributions of spiral bevel gear. The research results give support to theoretical basis for the surface transient contact temperature, thermal analysis, the thermal deformation change and scuffing failure.The main results are as follows: (1) Based on the theory of the calculus of variations, the functional of the steady and transient bulk temperature field of the spiral bevel gears is deduced, using the theory of the calculus of variations, the problem of the steady and transient bulk temperature field of the spiral bevel gears can be transformed into how to solve line are equations. (2)According to analyze the steady bulk temperature of spiral bevel gear, the maximum temperature of the tooth was distributed in the center of the tooth flank, low-temperature area was distributed in gear surface, the temperature of the tooth body is lower than the tooth flank, but higher the gear surface. (3) As the speed, load and lubrication temperature increase, the gear temperature increase, but the temperature regularities of distribution is unchanged. In the condition of difference speed and difference load, with the increasing of the tooth width, module, the maximum bulk temperature of the tooth increase, in the case of high-speed gear transmission, the temperature changes more evident but not affect the distribution of the gear temperature field. (4) According to analyze the transient bulk temperature of spiral bevel gear, with the time increase, the bulk temperature of the tooth increase significantly. The change regular of the temperature distribution in tooth flank is following, with the time increase, the maximum bulk temperature of the tooth surface increase, the maximum temperature of the region not only extend but also move to the tooth of addendum. With the department of load, speed, wide-tooth increases, the temperature-rise increase which the largest bulk temperature of the tooth.
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