Optimization Design Of High Strength Herringbone Planetary Train System

Herringbone planetary train system as one transmission component which is mainly used in the high speed, heavy load mechanism, has the advantages of reliable transmission, stable running characteristics, and its structure directly affects the performance of the equipment. It has the important theoretical and practical significance to carry out its system structure optimization design and gear strength study for optimizing structure size, reducing gear weight and improving the herringbone gear strength.It has designed the optimization design mathematical model of herringbone gear planetary train system according to the theory of planetary train:selected modulus, the teeth number of planetary gear and the modification coefficient, helix angle, tooth width coefficient of a total of nine design variables; built the minimum actual center distance, the minimum total weight of the gear into single objective, the minimum actual center distance and gear total weight for multi objective optimization objective function respectively; determined a variety of equality and inequality constraints.As a result of gear strength calculation of the herringbone planetary train system optimization design is very complicated, and use a single optimization method is difficult to obtain ideal results. Genetic optimization algorithm optimization solution is global optimum, but the precision is not high, while the sequence of two quadratic programming method with higher precision optimization solution, but only is the local optimum, so this paper puts forward and designs hybrid optimization design method which is the genetic optimal algorithm combined with the sequence of two quadratic programming method. Firstly, genetic optimization algorithm was used to optimize the design, the optimization design results as system initial value of sequence of two quadratic programming method. Then, using the sequence of two quadratic programming method to optimize the design, to further improve the accuracy of the solution, thereby obtaining the global optimal solution with higher precision.Based on the establishment of the herringbone planetary train system optimization design mathematical model, designed and developed the software of herringbone planetary train system optimization design. And the optimization design is carried out combined with the optimal example in this paper, obtained the minimum actual center distance and the lightest gear total weight as single objective, to the minimum actual center distance and the lightest gear total weight for multi objective optimization design results respectively, and the different optimization design results were compared, and analysis. According to the hybrid optimization design method in this paper, the optimization design target result to be more ideal than only using genetic optimization algorithm or sequence of two quadratic programming method.In order to better design the high strength herringbone planetary train system, it has designed and developed the strength calculation module in the software of herringbone planetary train system optimization design in this paper, studied the influence of profile parameters to herringbone planetary train system strength. Through the calculation, the diagrams of addendum coefficient, coefficient of top clearance and helix angle with contact strength safety coefficient, bending strength safety coefficient and the scuffing load capacity safety coefficient of herringbone planetary train system were obtained, summarized the law of the profile parameters on the system of three strength safety coefficient, it is provided the theoretical basis for the high strength herringbone planetary train system design.