Theoretical And Experimental Study On New High Order Tuning Gear Transmission With Time-varying Mesh Stiffness Near Zero Fluctuation

Involute cylindrical gear transmission is one of the most basic gear transmission,which has been widely used in different fields of production and life because of its unique advantages.Traveling wave resonance is very easy to occur when the high-speed aviation thin spoke gear is running,and axial force is the main excitation source of traveling-wave resonance and also the main reason for the significant decrease of bearing life.In addition,it is difficult to overcome the vibration noise caused by periodic fluctuation of time varying meshing stiffness of gear transmission.In order to solve these technical problems,the new type of high-order tuning gear transmission principle with high load,low vibration and no axial force is proposesed in this paper.Firstly,the optimization design of high order tuning gear transmission parameters was carried out with the objective of integer contact ratio and near zero fluctuation of mesh stiffness.The transmission parameters of high order tuning gears with nearly zero fluctuation of mesh stiffness are obtained,and then the dynamic performance of spur gears is improved.Finally,the accuracy of the theory is verified by experiments.The specific research contents are as follows:(1)The theory of high-order tuning gear transmission is proposed,and the design parameters related to high order tuning gears are defined.The relationship between the contact ratio of the high-order tuning gear and the number of teeth simultaneously engaged is studied.By adjusting the staggered phase angle and the tuning order n,the time-varying mesh stiffness of the high-order tuning gear is near zero fluctuation.The parameter relationship of time-varying mesh stiffness near zero fluctuation of high order tuning gears is derived.(2)The load-carrying capacity characteristics of high-order tuning gear transmission is studied in this paper,compares the two-order tuning gear transmission with helical gear transmission under the same parameters,and the parameter relationship between high-order tuning gear transmission and helical gear transmission under the same load-carrying capacity is obtained.(3)The node finite element method is used to establish the bending torsion coupling dynamic model of the high-order tuning gear.The vibration reduction characteristics of the high order tuning gear transmission are verified by solving the dynamic mesh force and the vibration response of the corresponding nodes.Dynamic simulation of high order tuning gear transmission is carried out by using finite element software.Taking normal contact force of tooth surface,bending stress of tooth root and vibration response as indexes,the advantages of high order tuning gear transmission in bearing capacity and vibration characteristics were verified.(4)The experimental scheme of high-order tuning gear transmission is designed,and the test bench of high-order tuning gear transmission performance is built.Based on the transmission error of a two-order tuning gear and the vibration displacement of four different measuring points,the influence of high-order tuning gear transmission on vibration reduction performance is verified.