机械系统的向量键图建模

Modelling of Mechanical Systems by Vector Bond Graphs

本文首先介绍向量键图,然后介绍用向量键图建立机械系统模型的方法。该方法从机械系统的速度描述入手,导出速度的统一表示方法,以此做为建立机械系统结点结构的基础,然后在此基础上利用功率守恒概念,在结点结构上加入多端口元件,得到机械系统的向量键图模型。由这种模型便于导出机械系统的状态方程和进行系统仿真。文章最后用一个速度陀螺为例介绍了此建模方法的具体应用。

This paper first proposes the notation and definition of vector bond and then describes a method to model mechanical systems by vector bond graphs. The paper starts from a description of vector velotity in mechan- ical systems which leads to a uniform notation of velocity, which, in turn, forms the basis for the juction structure of the mechanical systen. On this basis, a vector bond graph model is obtained by attaching comport- ents to the junction structurn, under the discipline of energy conservation. This model makes it easier to get the state equation of mechanical systems and to simulate the systems. Finally the paper illustrated the application of the method with the example of a rate gyro.