[yazanobeidi]

Your comment made me think of this: https://en.wikipedia.org/wiki/Bond_graph

“Multi modal” system representation in graph format. You can represent an electric, hydraulic and mechanical system in one graph. Anything really by relating them to the substituent energy and power. Its representation allows you to easily extract the differential equation. Neat stuff.

[hans1729]

>Anything really by relating them to the substituent energy and power.

My brain is tickling, thank's a lot for the reference!

[bumby]

FWIW, control system theory resolves similarly. The response of a system (whether electrical, mechanical...) has the same basic concepts related to the energy of constituents defined by the differential equation of that system.

For example, specific systems have fairly well understood corollaries like a compressed fluid behaving as a mechanical spring within a system. Further, mass is akin to capacitor (stores energy), a spring is akin to inductor (stores energy), a damper is akin to a resistor (dissipates energy) in terms of their representation on the differential equation of their response. You might find some control theory an interesting read but I don't know if it speaks to exactly what you're looking for in terms of the broadest applicability.