The mathematical model of the optimized design of the reducer The establishment of the correct mathematical model is the key to the optimal design of the reducer. Therefore, the mathematical model of the optimized design of the reducer must be able to correctly express the design problem of the reducer, accurately and reliably ensure the purpose of the design of the reducer and various constraints.
Selection of design variables Generally, all independent design parameters of the gear reducer that affect the design quality, such as gear tooth number, modulus, helix angle, tooth width and displacement coefficient, and the center distance of each level should be used as design variables. .
However, too many design variables will increase the workload and difficulty of the calculation. Usually, the design parameters that are easy to control and have obvious influence on the optimization target are used as design variables.
Gear strength constraint The gear strength constraint refers to the tooth surface contact fatigue strength of the gear and the bending fatigue strength of the gear. These two calculations are carried out according to the method in the national standard GB3480-83. Whether the strength is sufficient or not, according to whether the actual safety factor meets or exceeds the predetermined safety factor.
Selection of optimization method From the mathematical model established above, the gear reducer optimization design is an optimization design problem with a single objective function with multiple inequality constraints, discrete design variables and continuous design variables. The solution must use discrete variable optimization methods, such as stochastic grid search method, discrete penalty function method, discrete complex method. At present, the more commonly used method is the discrete complex method [3].
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