基于系统矩阵法的轴系扭振图形化建模技术研究

系统矩阵法是一种用于扭振分析的解析法。文中通过对不同振动数学模型的分析，提出了一种基于系统矩阵法求解轴系扭振的图形化建模方法。该建模方法只需用户提供原始的扭振力学模型，且不受轴系分支结构和模型规模的限制。在具体实现时，该方法将扭振模块规划为两类模块单元，用这些模块单元可搭建成各种扭振力学模型，通过扭振模型中模块的遍历和当量系统的转换生成模型拓扑结构关系，并最终组集成求解所需的系统矩阵。应用实例表明，本文所提出的图形化建模方法通用且易于编程实现，它可以推广到数学模型为振动微分方程的其它模型系统。

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 mathema- tical models are the same as the vibration differential equation.