Damped systems refer to systems in which the damping force acting on the system is proportional to its velocity or speed of motion. Damping is a crucial aspect in controlling vibrations in mechanical and structural systems, as it helps dissipate energy and reduce oscillations. Damped systems can be found in various engineering applications, such as in vehicle suspensions, buildings, and machinery. Researchers study damped systems to better understand their behavior, optimize their performance, and design effective damping mechanisms to enhance stability and durability. The analysis of damped systems typically involves mathematical modeling, simulations, and experimental investigations to characterize the damping properties and overall response of the system.