Concerning ship models:
The ancient Greeks and Romans had ship models, presumably for display or toys as the examples I've seen are not historically correct, although there might have been builders' models as well.
Later on when shipbuilding became more sophisticated, but people were still illiterate, models were used to:
Gain the ship owner's approval to build the full size vessel,
Loft the frames and other details for full size construction.
The most famous of these models, all done in the standard 1:48 scale, are the Admiralty models built for the Royal Navy in the 18th and 19th centuries. Most are in the National Maritime Museum in Greenwich, UK, and you can visit their web site for photos and more details on them.
Variations on the full hull Admiralty models are the half hull models used mainly for lofting hull forms and plating patterns. These were used on modern ships up until CAD programming took over not that many years ago. The Maritime Museum of the Great Lakes in Kingston Ontario has several examples of these models and explains their use in modern shipbuilding. They also have a web site for more information.
Funny enough, these types of models were never rigged, and rigged models were not made for the purposes I have stated. Rigging was left up to the shipwright practices of the day.
Ship models are still used for owner's approvals even in this age of Auto-CAD. Model cruise liners are often given to passengers on maiden or other commemmorative voyages.
Regarding aircraft models:
Wind tunnel models were and still are used to prove the aerodynamic characteristics of concept airframes. Sometimes scale models were fastened to rocket boosters for high speed flight analysis. Try contacting Boeing to pursue this line, I was privileged a few years ago to tour their Everett facilities and I spoke to many of their design people. Saw the original wind tunnel model for the B-17, intricate in every airframe detail, made from laminated wood, and complete with pressure sensors throughout the airfoil sections. Absolutely amazing!
Good luck with your thesis,
Bruce