Final answer:
A suspension structure with upper and lower sets of cables of different curvatures that are pretensioned by ties or compression struts to increase rigidity and resistance to flutter is called a tensioned strut system.
Step-by-step explanation:
The suspension structure described in the question is a Tensioned strut system. This type of structure consists of upper and lower sets of cables with different curvatures that are pretensioned by ties or compression struts.
The purpose of pretensioning is to make the system more rigid and resistant to flutter, which is the rapid and unstable oscillation of the structure.