Research On Vibration Reduction Of Additional Damping Ring For Spiral Bevel Gear Transmission

Spiral bevel gear is widely used as the high-speed level gear of mechanical transmission system,transmitting power of intersecting axes, such as helicopter transmission system and drive system ofaircraft engine accessories. Due to its bad working condition, easy to produce vibration and impact, soit is very important to research on spiral bevel gear vibration.Damping ring technology is an effective measure to improve the gear vibration performance, notonly for its obvious effects, but also advantages of simple process and compact structure. Whenapplied in engineering, the damping ring is mainly based on the empirical formula and a large numberof experiments to achieve, which will no doubt increase the research cost and production cycle, sotheoretical analysis of the damping ring is particularly important.First, spherical involutes’ tooth profile equation was deduced. Based on the meshing principleand actual gear cutting process, researched spherical involutes’ spiral bevel gear’s precision3Dparametric modeling method based on CATIA modeling software, and achieved the parametricmodeling of spiral bevel gear with the aid of VB and CATIA.Secondly, used the spiral bevel gear parametric modeling software of self development toestablish three-dimensional model and imported it into the ANSYS software, used the finite elementmethod to solve the composite meshing stiffness of spiral bevel gears. Based on lumped parametermethod, established spiral bevel gear drive eight degrees of freedom nonlinear dynamic model whichconsidering tooth backlash, time-varying mesh stiffness and transmission error, solved the equation.In addition, the intrinsic characteristics and the dynamic response characteristics of spiral bevel geartransmission is studied, the research results show that support stiffness of the driven spiral bevel gearhas a great influence on the low order natural frequency, average mesh stiffness and supportingstiffness of driving gear have a great influence on the high order natural frequency; Smaller supportstiffness and larger input torque can receive lower dynamic load coefficient of spiral bevel geartransmission.Then, the paper researched the vibration reduction principle of damping ring. With the contactanalysis and calculation, received the contact pressure expression of silent and opening damping ringbetween the damping ring and wheel groove; Hertz contact theory is applied to estimate contactstiffness expression between the damping ring and gear.Finally, the paper set up spiral bevel gear transmission system’s twelve degrees of freedomdynamic model which had additional damping ring, solved the equation, studied the intrinsiccharacteristics and the dynamic response characteristics of spiral bevel gear transmission systemwhich has added damping ring. And compared dynamic response of the gear system which hadadditional damping ring with which had no additional damping, found that after adding damping ring,the displacement and velocity response of the various degrees of freedom are significantly lower; Andstudied the silent and openings damping ring structure parameters’ influence on the system dynamicresponse and dynamic load coefficient of the system. This can provide certain theoretical basis forrational structure design of damping ring.