| Double involute gear is a new type of gear that combines the advantages of involute gears and double circular arc gears.Its transverse tooth profile is composed of two involutes arranged in a stepped manner and a transitional arc envelope curve.Compared with ordinary involute gears,it has higher load-carrying contact capacity.At present,the research on the dynamic contact characteristics of double involute gears is relatively mature,but there are relatively few studies involving the dynamic characteristics of double involute gears and the coupling of dynamic characteristics with other factors.Based on this,this paper studies the dynamic characteristics of double involute gear by combining theoretical analysis,model simulation and experimental test of gear system dynamics.The main research contents are as follows:(1)Comprehensive analysis of the dynamic meshing characteristics of double involute gears,the finite element analysis model of double involute gear is established.Based on modal analysis,harmonic response analysis,and transient dynamics analysis,the dynamic contact characteristics and inherent properties of double involute gears are studied,and compared with ordinary involute gears.Considering the peculiarity of the double involute gear tooth waist classification,the influence of the tooth waist classification parameters on the transient contact characteristics of the double involute gear is studied.(2)The dynamic equation of gear system is analyzed systematically,and the virtual prototype of double involute gear flexible body is established based on the theoretical calculation value.Compare the theoretical calculation value with the simulation value to verify the accuracy of the simulation model.The change law of indirect contact force between double involute gear and ordinary involute gear is compared and analyzed.The influence of the stepped parameters of the tooth waist,the meshing stiffness,and the friction state on the dynamic characteristics of the double involute gear are studied.(3)Based on the theory of gear system dynamics,the influence of nonlinear factors such as time-varying meshing stiffness,damping,friction and transmission error on the gear system is comprehensively considering.A 6-DOF friction dynamics model for double involute gears is established.Based on the energy method,the time-varying meshing stiffness of the double involute gear is solved,and the result is verified with the finite element method,which verifies the accuracy of the solution.Through high-order fitting,the continuous nonlinear function expression of the helical gear is fitted.The vibration characteristics of double involute gears and ordinary involute gears are compared and analyzed based on the established friction dynamics model.The effects of stiffness and friction on the dynamic behavior of double involute gears are studied.(4)The gear comprehensive performance test bench is built,and the radial,axial and circumferential vibration characteristics of double involute gear and ordinary involute gear are compared and analyzed,and the changes of lubricating oil temperature and transmission efficiency in the box under variable working conditions are also analyzed.The accuracy of the theoretical analysis is verified by comparing the vibration test results with the theoretical analysis results.The influence of torque and speed on the vibration characteristics of double involute gear is analyzed. |
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