Calculation method of meshing impact excitation of loaded gear pair
In view of the problem that the current theory can not accurately calculate the meshing impact time of loaded gear,a calculation method of meshing impact excitation of loaded gear pair based on cylindrical collision theory and contact dynamics theory was proposed to accurately calculate the meshing impact time and impact force of loaded gear.The mathematical model of meshing impact of involute gear under load and deformation was established.The exact position of the outer meshing point of the line was calculated by the inversion method,and the meshing impact force of the tooth pair was obtained based on the cylindrical collision theory.At the same time,on the basis of the established mathematical model of meshing impact,the impact time was accurately calculated and compared with the existing calculation methods.Then,according to the actual working condition of the gear,the dynamic contact finite element analysis of the gear pair of the aircraft gearbox was carried out,while the impact time and impact force were extracted,and compared with the theory.The results showed that the error of the meshing impact time of the calculation model was within 15％,and the error of the maximum meshing impact force was less than 10％.Therefore,the impact excitation calculation method can accurately and quickly solve the impact time and the maximum meshing impact force.
impact timemeshing impactoff line contactcylindrical collisiondynamic contact
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