Theoretical Study On The Overall Force Analysis Of FA Reducer Based On Deformation Coordination

The cycloid drive is more and more widely used in the field of mechanical equipment because of its large transmission ratio,high load-carrying capacity,compact structure and high reliability.In this paper,in close connection with the urgent need of FA reducer for high precision and high efficiency,the author studies the structural characteristics of FA reducer through fine research,carries out some theoretical research on static and dynamic,further improves the force analysis theory of FA transmission machine,and provides theoretical support and reasonable excavation technology space for its structural design and optimization.The main work and research results are as follows:The force of the whole machine should consider not only the force of cycloidal gear and pin,pin and rotary arm bearing,but also the relationship of three meshing chains.Therefore,the deformation coordination analysis of pin is introduced in this paper.The aim of this paper is to construct a meshing mechanics model of FA reducer with clearance under the premise of pin deformation coordination theory.Taking FA45-29 one tooth difference prototype as the research object,the numerical simulation is carried out by VB,MATLAB and ABAQUS.1)By systematically studying the structure and transmission principle of FA reducer,a clearance meshing statics model considering the elastic deformation of cycloidal gear teeth,pins and bearings is established,and the corresponding deformation compatibility condition mechanics model is constructed.Under the coordination of pin deformation,the static balance equation and the torque balance equation are solved by using MATLAB programming.Then through VB programming to simulate the force state of each meshing position of the system,the static analysis and numerical simulation of the whole machine are carried out.2)Static analysis of the clearance meshing of FA reducer lays a theoretical foundation for the study of vibration characteristics of the whole reducer.On the basis of statics,the stiffness excitation of FA reducer with clearance engagement is modeled and numerically simulated,and the torsional stiffness model of the whole reducer considering the factors such as the torsional stiffness of the rotating arm shaft,the equivalent torsional stiffness of the rotating arm bearing,the equivalent torsional stiffness of the cycloid gear meshing with the pin teeth is established,and its characteristics are studied.The torsional stiffness curve of FA machine is simulated with the meshing link of cycloidal gear and pin teeth as the main consideration.By using Creo 3.0 to build the three-dimensional solid model of the prototype and HM-ABAQUS joint simulation,the modal characteristics of FA reducer are studied.It shows that the prototype will not produce resonance.3)Under the coordination of deformation,a multi-objective optimization model based on genetic algorithm is constructed with the standard deviation of transmission torque of each cycloid wheel as the objective of offset load optimization and the eccentricity and cycloid wheel width as the optimization variables.The optimal solution is simulated and compared with the prototype.The load torque of the output cycloid wheel was significantly reduced and the working life of the whole machine system was prolonged.