British naming conventions have been spoken of on the pages many times and need no rehearsal here. There is a logic to them, though it may not be immediately apparent to our American cousins.
However, I am foxed as what you meant by "extending the concept into force naming structure". Platoons, companies, battalions, regiments, divisions, corps, armies; its all standard stuff. Ok, the artillery with its batteries and the cavalry with troops and squadrons may not be completley standard but enough other countries used those titles that they are not that confusing, surely.
Please do explain what you meant.
Cheers