Linear Graphs
Clarence Wilfred de Silva · 2017
A starting step of that approach involves sketching a structural diagram (e.g., circuit diagram, schematic diagram, or free-body diagrams) of the system to show how the elements or components of the system are interconnected. There are several graphical approaches for representing the structure of a lumped-parameter analytical model of an engineering dynamic system. Leading among them are: linear graphs and bond graphs. The chapter presents the approach of linear graphs. State-space models of lumped-parameter dynamic systems, regardless of whether they are mechanical, electrical, fluid, thermal, or multidomain (mixed), can be conveniently developed by linear graphs (LGs). The chapter presents the use of linear graphs in the development of analytical models (particularly, state-space models) for mechanical, electrical, fluid, thermal, and mixed systems. Linear graphs systematically use through-variables and across-variables in providing a unified approach for the modeling of dynamic systems in multiple domains (mechanical, electrical, fluid, thermal, and any mixture of these).