Vespa front wheel

When we look at a vehicle being a car, a motor bike, they have wheels. Typically these vehicles have a suspension but even if they don’t have visually they will have some sort of elastic support and dampening effects even if coming from the structure.

Vespa_50s_scooter_front_wheel close up
Vespa 50s scooter front wheel close up

My vespa suspension performance is very bad, I really need to fix it. If I ride the bike with a second occupant the suspension gets fully loaded.

Going back to my school memories what concept simplifications would represent a wheel system?

Mass_Spring_Damper_for_Vespa