The response analysis and calculation of gear transmission is the basis for analyzing its vibration intensity and system reliability.The high-precision gear transmission finite element model can be used for optimized design,vibration control,damage detection and so on.In this paper,gear transmission was used as the research object,and its structure mainly comprised a elastic foundation,driving shafts,bearings,gears and other parts used for fixing the system.According to the theory of vibration,finite element analysis and technology of dynamic test,dynamic characteristics of transmission system and its sub structure were studied,and a scheme that included modeling and model updating was put forward.Finally,the dynamic response and inherent characteristics of the system were simulated and analyzed based on the finite element method.The contents and results of this paper can be summarized as follows:1.The common structure of transmission systems was studied,and difficulties in finite element analysis method were summarized.Aiming at the gear transmission,a small transmission system suitable for laboratory conditions was designed and built,and its initial finite element model was established with non-updated design parameters.2.Based on the theoretical modal and experimental modal analysis method,the design parameters which were insensitive to rotational speed were updated through the model updating method.Based on Hertz contact theory,the relationship between the dynamic stiffness of bearings and the speed of the system was studied.Finally this relationship was proved by experiments and applied to update the model.3.Based on the theoretical calculation and finite element contact calculation,the time-varying law of gear meshing stiffness was studied,and the relative error of the results was calculated,which proved that the theoretical calculation results were reasonable.4.The updated models were reassembled into the finite element models of the whole system,and the problems in simulation were solved.Finally,the accuracy of the proposed method was analyzed based on the experimental data.The final test results showed that the finite element modeling and model updating method proposed in this paper can accurately express the dynamic characteristics of the transmission system under low computational cost,and the method had certain practical value and significance. |