Study and application of graphic modeling techniques of shaft torsional vibration based on system matrix method

A system matrix method, which is used for torsional vibration analysis, is a kind of theoretically perfect analytic method. A new graphic modeling method based on the system matrix method is introduced by analyzing the variant vibration mathematical models. This modeling method only needs users to supply the original mechanical models, and is not limited in the shaft branched structure and the scale of model. During the detailed realization, the method divides torsional vibration blocks into two kinds of block units used to create various torsional vibration mechanical models. The model's topological structure is established by transforming the blocks in the model and generating equivalent system. In the end, the system matrix is generated to solve the vibration differential equations. An application example shows that the graphic modeling method is a kind of universal and easily programmed modeling method. The method can be expanded to other model systems, of which mathematical models are the same as the vibration differential equation.