Automatic Generation of Component-level Dynamic Equations Using Extensible Element Linear Graph Method

A unified modelling and simulating integration is necessary to analyse multidisciplinary systems with an effective method, adapting to multiple disciplinary domains. In this process, it is well known that 2D or 3D mechanical multibody dynamic analysis is a bottleneck problem. Based on the linear graph theory and object-oriented module technology, we propose EELG (extensible element linear graph) method that can be applied to automatically generate component-level dynamic equations for describing multidisciplinary systems, first encapsulated linear graph into the element linear graph, defined element through and circuit matrixes respectively deserved from the across-graph and through-graph of an element linear graph, and made the member module with the hierarchy, reusing and extensibility. By linking these standard modules successively to model a particular system, the component-level dynamic equations would be automatically generated by topology matrixes operation. This approach provides greater modelling flexibility and supports the model's versatility