Final answer:
Aileron and elevator flutter dampers prevent the rapid oscillation of an aircraft's control surfaces known as flutter. They dampen the oscillations of the ailerons and elevator, which control the lateral movement and pitch of the aircraft.
Step-by-step explanation:
The purpose of aileron and elevator flutter dampers is to prevent a condition known as flutter, which is a rapid and self-sustained oscillation of an aircraft's control surfaces. Aileron flutter damper is designed to dampen the oscillations of the ailerons, which control the lateral movement of the aircraft. Similarly, the elevator flutter damper dampens the oscillations of the elevator, which controls the pitch of the aircraft.