Vibration And Noise Optimization Design As Well As Reliability Analysis Of Spiral Bevel Gear System

Spiral bevel gear is one of the most important transmission parts in gearbox,and its dynamic performance has important influence on the using performance of gearbox.The development of gear device is in the direction of high power,high precision,low noise and light weight.The vibration,noise and reliability have become the important indexes to measure its transmission performance.When the spiral bevel gear system is working,the vibration generated by dynamic excitation is transmitted to the box through the shaft and the bearing,which causes the vibration of the box surface to form the radiated noise,and also affects the reliability of the system.Therefore,carrying out the vibration and noise optimization and the reliability analysis of spiral bevel gear system will be of great theoretical and engineering value for reducing vibration and noise and high reliability design of spiral bevel gear system.This paper takes spiral bevel gear system as research object,and carries out static dynamics analysis,dynamic performance optimization,radiation noise prediction and acoustic optimization,reliability and sensitivity analysis.The main research work of the thesis is as follows:(1)With the help of UG and ANSYS software,the finite element model of spiral bevel gear system is established,and the static analysis of bevel gear pair and box is carried out.The system modal is analyzed by Block Lanczos method,the internal dynamic excitation is added on the gear pair,and the dynamic response is solved by the modal superposition method,and the peak values of frequency domain curve of vibration response for spiral bevel gear system appears in meshing frequency and octave frequency.(2)The optimal gradient method is used to solve the structural sensitivity of the objective function to the design variables.Based on the sensitivity analysis,the dynamic performance optimization model of spiral bevel gear system is established,and the modal and response optimization is performed using the Zero-order and First-order methods.The static and dynamic of spiral bevel gear system are analyzed after optimization.The optimization effect is good and the dynamic performance of spiral bevel gear system is improved.(3)The rigid-flexible coupling dynamic model of spiral bevel gear system is established,and the dynamic equation is solved by the variable step and backward difference method.Based on the boundary condition of the calculated bearing support force,the acoustic analysis model of spiral bevel gear system is established,and the noise is predicted by the acoustic finite element method.The response surface model of the objective function is established based on the response surface method,and the normal boundary intersection optimization algorithm is used to optimize the model,and the optimization effect is good.(4)The resonant reliability analysis model of spiral bevel gear system is established.The response surface method and Monte-Carlo method are used to solve the resonant reliability and sensitivity.The fatigue reliability of spiral bevel gear is obtained by using the second moment method to calculate the reliability and sensitivity of the gear pair bending fatigue and contact fatigue respectively.