| The subject originated from the national key research and development project "High-performance gear dynamic service performance and basic test"(Project approval number: 2018YFB2001300)and the National Natural Science Foundation of China project "Research on transient contact characteristics and anti-glue load of herringbone planetary gear transmission"(project Approval number: 51975078).As a new type of high-power density transmission system,herringbone planetary gear transmission has higher carrying capacity and lower axial impact load than spur and helical gear planetary transmission,and has a large transmission ratio and high power-to-weight ratio.It is used to attack the transmission device of submarine,ship and other power systems.There are many components in the herringbone planetary gear system,and the contact relationship between the components is complicated.Due to the limitation of conditions,there will be inevitable errors in the installation and manufacturing process of the gear,which will affect the dynamic characteristics of each meshing pair of the transmission system.This paper takes the herringbone planetary transmission system as the research object,and explores the influence of the angle error of the gear space axis on the meshing characteristics of the system.Considering the torsional flexibility between the left and right parts of the herringbone gear and the bending flexibility of the gear pin,the establishment contains the rigid-flexible coupling lumped-parameter dynamics model of the rigid-flexible coupling of the herringbone planetary system with flexible connections on both sides of the herringbone gear is analyzed.The influence of the shaft angle error on the dynamic characteristics of the transmission system is analyzed.The specific research content of this article is as follows:(1)The spatial axis angle error of the gear is analyzed,and the axis angle error in the vertical plane is converted into the relative displacement between the tooth surfaces,and the axis angle error in the axis plane is processed as the gear center distance at different positions by changing,the expressions for the offset distance of the tooth surface meshing contact line under two plane axis angle errors are deduced,and the meshing contact line displacement of each position under different errors is calculated.Using finite element contact simulation,the change law of tooth surface contact state under shaft angle error is analyzed.(2)Analyzed the structural characteristics of the herringbone gear,considered the torsion and bending flexibility between the left and right sides of the gear,established a three-piece model of the herringbone gear,and used Timoshenko beams for the middle connecting part of the gear.The unit is equivalent.Considering the influence of the bending flexibility of the gear pin shaft on the rigidity of the gear support,a rigid-flexible coupling dynamic model of the herringbone planetary system is established by the lumped parameter method.(3)Analyzed the steps of calculating the meshing stiffness of the gear using the potential energy method.Taking into account the meshing characteristics of the herringbone gear under the shaft angle error,the calculation process of the meshing stiffness of the left and right sides of the herringbone gear under the influence of the error was deduced;the potential energy method was used the change of the meshing stiffness of the inner and outer meshing pairs under the axis angle error is calculated with the finite element contact method.The centering error of the herringbone gear is analyzed.The centering error is regarded as the initial gap difference between the meshing tooth surfaces on both sides,and the centering error is integrated into the static transmission error for research.(4)According to the established dynamic model,the meshing stiffness and transmission error under the influence of different shaft angle errors are substituted into the model as dynamic excitation to calculate,and it is concluded that different shaft angle errors affect the left and right of the inner and outer meshing of the system.The influence of the dynamic response of the dynamic meshing force of the tooth surfaces on both sides. |
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