Vector Approach for Kinematic and Dynamic Analysis of Complex Gear Systems

This chapter outlines the principal steps of a vector approach for kinematic and dynamic analysis of complex gear systems. Two projections of a vector diagram can be constructed for a crossed-axes gear pair. A vector diagram for P_a-gearing is used to construct one of the projections. The concept of vector diagrams can be expanded to rotations with acceleration/deceleration. A vector diagram for I_a-gearing is used to construct the other projection. Vector diagrams are an efficient tool for investigating gear pairs as well as complex gearboxes. The vector diagrams of gear transmission are convenient in the cases when the diagram can be plotted as a 2D graph. In cases of 3D, vector diagrams are less convenient, and there is no in the public of their application.