Design And Analysis Of Single Input Multiple Output Spatial Petal Nutation Drive

The single input and multi output spatial petal tooth combines the advantages of nutation transmission and face gear transmission.It imitates the structural characteristics of multiple and multiple arrangement and distribution of lotus petals in nature,so as to increase the coincidence degree of gear transmission,so as to realize stable and efficient output.The combination of lotus petal structure and nutation transmission principle can greatly improve the motion accuracy and power density of transmission,This paper takes a single input and double output spatial petal tooth as an example,analyzes its structure principle,working principle and meshing characteristics,and verifies its strength and stiffness by finite element method.Single input multiple output spatial petal teeth have many advantages,such as small size,light weight,low noise,long life,high reliability,and can realize the integration of speed reduction and so on.It has a wide application prospect,especially suitable for submarine propulsion equipment.Taking a single input and double output spatial petal tooth as an example,this paper expounds the basic structure,transmission principle and tooth surface generation principle of the single input multiple output spatial petal tooth.Based on the spatial meshing principle,the coordinate system is established and the coordinate transformation is carried out.According to the meshing characteristics,the tooth surface equation and meshing equation are derived,and the boundary dimension analysis of spatial petal gear is carried out.Matlab software is used to calculate its basic parameters,and the three-dimensional model of spatial petal gear is established by using the modeling software,and the mesh is refined by the finite element pre-processing software.The contact stress of each tooth surface of spatial petal gear is calculated by Hertz contact method,and the model is established in the finite element software to analyze the contact stress of the spatial petal gear,analyze the distribution law of the tooth surface stress.It is concluded that the maximum stress of the gear disk appears at the tooth root.Compare the theoretical results with the simulation results,and put forward the influence factors of the error.According to the failure form of the gear,the strength of the tooth surface where the maximum stress occurs is analyzed to verify the strength requirements of the gear.Using the finite element modal analysis method,the free modal analysis of each tooth surface is carried out,and the ten order modes and vibration modes are extracted for stiffness analysis.Considering the periodic changes of the number of meshing teeth and the contact position of teeth,the time-varying meshing stiffness of spatial petal gear is analyzed by finite element method,The time-varying meshing stiffness curve is obtained,which lays a foundation for the future study of its system dynamics.