Study On Dynamic Characteristics Of Planetary Beveloid Gear Drive System At Alternating Temperature

With the rapid development of space technology,new requirements related with the power transmission of space agencies have been proposed.The planetary beveloid gearbox transmission system,which is a new type of gear transmission mechanism,has an excellent performance in compact structure,large transmission ratio,high strength,and achieving anti-backlash transmission.In order to achieve an in-depth understanding in its nonlinear vibration characteristics under the environment of space temperature alternation,the dynamic model and differential equations of variable thickness planetary gear system under the influence of multiple factors were established in this paper,which was solved by the analytical method and numerical method.By these means,we investigated the effect of different factors on the vibration characteristics of the system.And an experimental vibration device was also designed to verify it.On the basis of comprehensive consideration of multiple factors such as backlash,rotational speed,meshing damping and stiffness,the temperature alternating factor was innovatively introduced.And the bending-torsion-axis coupling dynamics of the variable planetary beveloid gear system was established by the lumped parameter method.Then,the dynamic differential equation was established and the influence mechanism of each factor on the system is analyzed.First off all,during solving the dynamic differential equations of planetary beveloid gearbox by the numerical method,this paper introduces the Gear method with better stability aimed at reducing the error of solution caused by the stiff equation.And we obtained the vibration displacement time response diagram of each component of the planetary gear system and analyzed the main vibration response sources of the system utilizing MATLAB.Besides,according to the data from displacement-time response diagram,bifurcation diagram and other forms,we explored the influence of alternating temperature factors on the vibration characteristics of the system and obtained the vibration response curves of the system under different backlash and speed.After that,we can analyze the influence of various factors on the vibration characteristics of planetary beveloid gearbox system.Secondly,the harmonic balance method was used to solve the analytical solution of the dynamic differential equation of the planetary beveloid gearbox system and the vibration response curve of the system was obtained.Comparing it with the results of the numerical solutions,we found that the results solved by these two methods are consistent with each other and verified the validity of the numerical solutions and the system dynamics,which provides a theoretical reference for the structural design of planetary beveloid gearbox device.Finally,we designed a vibration testing equipment of planetary beveloid gearbox system as well as building a three-dimensional model and finishing a two-dimensional drawing of the planetary beveloid gearbox system.And we shown sthe assembly process in the flowchart.Besides,the power supply device and detection device of the experimental platform were selected.What’s more,the experiment of the temperature exchange and the speed change were design,which lays a solid foundation in validating the results above through experiments.