Mathematical Modeling of Chain Drive Geometries for a Durability Test Rig

摘要

Since the test rig design for chain wear testing generally lacks effective support of theory and software, a new tool was developed based on mathematical methods. The difficulties of design tasks are extracted from the physical system and simplified into a two-dimensional mathematical modeling problem. The nonlinear equations of the model are solved through the application of Newton's method for higher dimension and stratified iterative methods composed of Newton's method, dichotomy and secant method. On the platform of Excel/Visual Basic Application, programs for the iterative algorithms and other supporting functions were written. The calculation results, shown in both values and images, were proved to be identical with actual status of available designs. The application in a new design task proved the CAD-tool to be helpful to design work for chain wear testing.