Posts in ME 506
Processing a Linear Graph Into a Normal Tree

In order to use a linear graph to find the equations which describe a system, it first must be processed into a normal tree (also known as a system graph tree). The normal tree can be used to determine the order of a system, and to write a system of equations that describe the system.

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Anthony E.
Elemental and Constraint Equations From a Normal Tree

In order to categorize a system it is important to identify its governing set of equations. While this can be completed according to kinematic/mass acceleration diagrams, it is also possible to formulate these equations according to linear graph theory. This is particularly useful for non-mechanical domains, and for systems.

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Anthony E.
Drawing Linear Graphs

One of the methods used to find the transfer function of a system is to use linear graphs. This graph can then be processed into a normal tree and can be used to determine the elemental and state equations needed to simplify the problem.

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Anthony E.