Research On Tooth Profile Modification Method Of Cycloidal Gear In RV Reducer

RV reducers are widely used in important fields such as robots,aerospace and measuring instruments because of their small size,compact structure,strong carrying capacity and small transmission error.As the core component of the low-speed transmission of the RV reducer,the cycloid wheel has an ideal tooth profile shape that directly determines the accuracy,load-bearing capacity and stability of the RV reducer’s performance indicators.Therefore,the determination of the cycloidal tooth profile modification method and the solution of the reasonable modification parameters are the hotspots of the current RV reducer theoretical design field.This paper takes the RV-6E reducer as the research object,and launches a series of studies on the core technology of cycloid tooth profile modification from the perspective of theoretical calculation and simulation verification.The main research work of the full text is as follows:(1)The cycloidal gear tooth profile modification method is determined and the tooth surface meshing force is calculated.Starting from the characteristics of t he ideal cycloidal gear tooth profile modification curve,through the analysis of the principle of modification and the advantage s and disadvantages of traditional modification methods,a mathematical model of the contact force of the cycloidal pin gear tooth surface is established,and the influence of different modification methods on the bearing capacity of the tooth surface of t he cycloidal pin gear is explored.The law of the influence of the bearing capacity of the tooth surfa ce of the needle wheel.The results found that: under the same conditions,the combined m odification method can greatly reduce the bearing capacity of the cycloidal pin gear tooth surface compared with a single modification.Therefore,combined with the pract ical engineering application background,a more practical equal-distance combined modification method is selected to solve the ideal cycloid tooth prof ile modification parameters.(2)The geometric hysteresis model of the cycloidal pin gear is established and analyzed.In order to improve the load carrying reliability of RV reducer while reducing the influence on the geometrical backlash,a mathematical model of the geometrical backlash of different combination s of cycloid wheel profiles is established.This paper establishes a mathematical model of the geometric return of the combined profile from the profile of the cycloid wheel and the principle of the cycloid drive,and calculates the influence of the differ ent combined profile of the cycloid wheel on the size of the geometric return of the cycloid wheel.The results show that under the same conditions,the combined profile can,to a certain extent,significantly reduce the influence of geometric backlash on the accuracy index of the RV gearbox,thus providing theoretical support for the solution of the ideal profile parameters in Chapter 4.(3)The single-objective and multi-objective optimization models of the cycloidal gear tooth profile based on the PSO al gorithm is established and solved.First,in view of the problem of not setting reasonable constraints when optimizing a certain performance index by the single-objective modification method,which significantly reduces other performance indicators,two single-objective optimization methods are established to limit the influence of geometric backlash to solve the cycloidal gear tooth profile.Modification parameters;Futhermore,in order to obtain a cycloid tooth profile with high load carrying capacity,hi gh transmission accuracy and smooth transmission,a multi-objective mathematical model is developed to optimise the load carrying capacity and to fit the transmission profile and to find the optimum solution for the tooth parameters.Finally compare the advantages and disadvantages of various methods,verify the advantages of the multi-objective optimization modification method proposed in this paper,and provide certain technical support for the research and application of the ideal cycloid tooth profile modification.(4)The cycloidal tooth profile modification methods is simulated and verified.Firstly,the corresponding parametric finite element model is established according to the size of the profile parameters of the different methods in Chapter 4;Secondly,load constraints and other conditions are set according to the actual contact force state to obtain the actual stress state of the contact tooth surface considering fric tion;Finally,the results obtained by comparing the theoretical equations are analyzed to verify the validity of the tooth profile modification method proposed in this paper.