Research On Nonlinear Vibration Characteristics Of Internal Beveloid Gear Transmission System

With the development of science and technology,the performance and function of gear transmission device have higher requirements.Parallel internal gear in the overall arrangement of space,gear bearing capacity and other aspects of a good advantage,widely used in planetary gear train,less teeth difference transmission,differential gear train and gear pump.The beveloid gear can adjust the clearance by changing the axial position of the gear engagement,which is suitable for precision mechanical transmission.Therefore,the internal gearing beveloid gear has good scientific research value and wide application field,and the research and analysis of its transmission form and vibration characteristics can help to design and optimize the specific parameters and structure of the internal gearing thickening gear train.This paper mainly studies the nonlinear vibration characteristics of the beveloid gear with parallel internal engagement under external factors such as input torque,rotation fluctuation,input speed and internal factors such as bearing clearance and tooth side clearance.The influence of parameter excitation on the nonlinear vibration characteristics of the transmission s ystem is studied under the combined action of internal and external excitation,which provides a reference for the structural design optimization and reduction of vibration noise of the transmission system with beveloid internal gearing.The content of this article is as follows:Considering the influence of the small conical angular axial force of the beveloid gear due to its own tooth shape factors,the nonlinear vibration model considering axial vibration,gear torsion vibration and radial support vibrat ion is established.The periodicity of stiffness is expressed in the form of 8th-order Fourier series fitting.Runge-kutta method is used to calculate and analyze the influence of driving parameters such as input torque,torque fluctuation,input speed,me shing stiffness,tooth side clearance and bearing clearance on the vibration characteristics of the transmission system.In the study of two-stage internal meshing gear transmission,the beveloid gear was innovatively used to replace the original internal meshing gear pair with straight teeth,considering the high practical value of two-stage low-tooth differential gear structure.Considering the coupling of multi-stage gear transmission and the interaction between the torsional stiffness and damping of the coupling shaft,the equivalent vibration model of two-stage gear transmission system with less tooth difference and beveloid internal mesh is established based on the method of gear train transformation.Under certain working conditions,the combined effec ts of torsional stiffness and damping,bearing clearance and tooth side clearance,transmission error and so on on system vibration characteristics are studied.After analyzing the dynamic model of gear pair by numerical method,the harmonic balance method was used to obtain the theoretical analytical solution of single gear,and compared with the time-domain response curves of velocity and acceleration obtained by numerical method,the results were consistent.The sweep frequency curve of the relative displacement amplitude between the system input speed and the meshing line is drawn,and the jump and harmonic resonance phenomena of the nonlinear system are analyzed.By comparing the sweep frequency curves under different meshing damping parameters,it is f ound that the meshing damping has a strong inhibitory effect on the common amplitude without changing the variation trend of vibration amplitude,which provides a certain basis for the system parameter design.