Numerical Simulation Analysis On Correlation Coefficient Of Gear’s Load-carrying Capacity

The classic strength calculation method of gear showed that the distribution factor Ka and Kβ is fuzzy。At the same time, it simplified some factors such as the deformation of gear under load, so it leads to the deviation of calculation. At present, numerical simulation can do theoretical researches and analysis on deformation and bearing capacity, so this paper researches and analyzes the load distribution factor Ka and Kβ of involute spur gear, based on gear engagement principle. The purpose of this paper is to explore a more precise Ka and Kp in order to improve the accuracy of calculation of bearing capacity of gear transmission.The paper builds a parameterization model of involute spur gear by Pro/E, and sets the boundary conditions using the finite element software ANSYS Workbench based on the condition of gear meshing. It analyzes the contact stress of tooth surface in the process of gear meshing. Furthermore, this paper uses the formula of Hertz for theoretical analysis and by the method of comparing the differences of results between numerical simulation and theoretical analysis, it gets the rationality of numerical simulation. Through the numerical simulation, this paper gets some basic disciplines of the process of gear meshing, and it lays the foundation for the analysis of load correction factors Kα and Kβ.The research in this paper shows that:(1)the influence of material elastic modulus on the load distribution on the direction of tooth width is not obvious, but the load distribution factor between the teeth Ka will decrease with elastic modulus decreasing;(2)Material Poisson’s ratio has obvious influence on the longitudinal stress distribution. A greater Poisson’s ratio will lead to a more non-uniform distribution of load between the teeth;(3)The greater tooth width can result in greater alternating impact force within meshing area between bidentate tooth and single tooth;(4)The stress distribution can be more non-uniform with the increasing torque, and too small torque is harmful to stress distribution;(5)Friction factors can be ignored in the calculation of longitudinal load distribution coefficient of gear; With the friction coefficient smaller than0.1, the load distribution factor between the teeth Ka will decrease while the friction coefficient increases, and it will increase while the friction coefficient increases with the friction coefficient greater than0.1.By comparing the effects of material stiffness, tooth width, load, friction and other factors, this paper gets the influence law curves of each factor to the gear load distribution rate. According to the data obtained, a program is accomplished to compute load distribution factor among the teeth Ka and longitudinal load distribution factor Kp of involute spur gear in Visual Basic6.0. This program can get comprehensive effect of each factor and work out the Ka and Kβ, which improve the efficiency and accuracy greatly. The contrast with classical theory calculation results shows that the finite element numerical simulation can integrate a variety of factors, can analysis the meshing, the deformation and load situation in different meshing state more detailed and accurate.