The Characteristic Modeling And Solving Method For Kinematic Scheme Of Gear Trains With Parallel Axis

The kinematic characteristic model of gear trains with parallel axis is established. The synthesis solving method for kinematic scheme of gear trains is researched and software for kinematic scheme solving of gear trains is developed in this paper.The kinematic characteristic model of basic unit is established. Basic units of gear trains are defined, which are used for fundamental research subjects of kinematic scheme design for gear trains. Then the kinematic characteristic vector of the basic unit is expressed and kinematic characteristic equation is established, then kinematic characteristic matrix is abstracted. Base on the method, the kinematic characteristic equation of the basic unit is built, which describes the transformation between input kinematic characteristic states and output kinematic characteristic states of the basic unit. Basic units are stocked in the basic unit database.The kinematic characteristic model of gear trains with parallel axis is established. The common combination patterns including series combination, feedback combination, parallel combination, multiple combination, are summarized by means of researching on gear trains. The connecting constraint models for combination of basic units are set up by researching on combination patterns and the constraints characteristics of basic units, and then the component connecting constraint equation is built which describes the combination process. According to combination patterns of basic units, kinematic characteristic models of the basic units combination are established. Composite units of gear trains are defined, which are the basic mechanism units of analysis and synthesis as well as basic units. In the next, the kinematic characteristic model and the composite unit database of composite units are established.The relation equation between transmission ratio and the element in kinematic characteristic matrix is achieved by researching on transmission ratio of units. With decomposition rule of kinematic characteristic matrix complemented, computer aided kinematic scheme design of gear train is developed. The procedure of kinematic scheme design of gear train is established.The computer aided software system for kinematic scheme solving of gear train with parallel axis is developed. It can give solutions that meet the design requirements when the proposed approach is applied to a design example.