| As a kind of transmission mechanism,the double shock sleeve movable teeth not only inherit the characteristics of the traditional movable teeth mechanism,such as high transmission efficiency and large transmission ratio,but also have higher bearing capacity because of it's unique linear contact mode and sliding rolling meshing transmission.In addition,it overcome the disadvantage of additional load caused by single shock wave movable tooth transmission.However,in the working process,the transmission system will be affected by the internal and external excitation of the system,resulting in dynamic response,thus affecting the transmission performance of the transmission mechanism.Therefore,the research on the dynamics of the double shock sleeve movable tooth transmission system is of great significance to improve the dynamic performance and structure optimization of the transmission mechanism.According to the composition structure and transmission principle of the movable teeth of the double shock sleeve,the tooth profile equation of the central wheel is deduced through the meshing transmission and the tooth profile envelope principle.According to the tooth profile equation,a three-dimensional simplified model of the transmission mechanism is established,and the kinematics simulation is carried out by using Adams to verify the correctness of the tooth profile derivation.Based on the elastic deformation coordination hypothesis,the normal meshing force of each meshing pair in the transmission mechanism is calculated,and the changing law of the meshing force is analyzed.A non-Hertz finite length line contact model is established,and the contact surface pressure distribution,contact elasticity and subsurface stress field are solved by numerical method.The logarithmic bus modification method is applied to optimize the movable tooth structure,improve the stress state of the contact pair,effectively solve the problem of stress concentration,and effectively improve the bearing capacity and service life of the mechanism.The transient dynamic simulation of the simplified model of transmission mechanism is carried out by Workbench,and the change law of dynamic equivalent contact stress and contact pressure is studied.According to the meshing normal force and the approaching amount of contact elasticity,the meshing stiffness of each meshing pair is calculated,and the meshing stiffness is analyzed in time domain and frequency domain,and the influence of system parameters on meshing stiffness is studied.The translation-torsion coupling dynamic analysis model of the double shock sleeve movable tooth transmission system is established,and the dynamic differential equations of the system are derived.The natural frequencies and main vibration modes of the system are solved and analyzed by MATLAB.The natural frequencies and principal vibration modes of the derived system are derived by using the average stiffness method,and the influence of the support stiffness and mass of each member on the natural frequency of the derived system is analyzed.Based on the translation-torsion coupling dynamic analysis model of the transmission system,the vibration stability of the transmission mechanism is analyzed by using the multi-scale method,and the speed range of the input shaft of the transmission system is obtained.The effects of harmonic times of meshing stiffness excitation frequency,harmonic resonance frequency?_i+?_j and small parameters?on the unstable resonance region of transmission system are analyzed.The formula for calculating the steady-state response of each component of the transmission system is derived by using Linzi Ted-Poincare perturbation method. |
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