When the spring-mass system is entirely lossless, then mass would swing imprecisely through every bounce of equivalent height to the final. Cases of Oscillationīased on the quantity of damping there, a spring-mass system will exhibit different behaviors of oscillatory. The normal frequency is the system’s oscillation frequency if it is troubled like hit or tapped from a break. The above equation is the damping ratio formula in the control system. In radians, it is also called natural frequency The physical amount that is fluctuating will change very much & could be the influence of a large building in the breeze otherwise the speed of the motor, but a normalized, otherwise non-dimensionalized approach can be suitable to describe common features of behavior. The performance of oscillating systems is frequently used a different engineering fields like control, chemical, mechanical, structural & electrical. The damping ratio symbol is zeta (ζ), that can change from undamped like ζ = 0, underdamped like ζ 1. The system parameter like damping ratio is used to describe how quickly the oscillations decompose from one bounce to another. So, this is the significance of the damping ratio. Sometimes, some losses moist the system & causes the oscillations to slowly decompose within amplitude to zero otherwise attenuate. On every bounce, this system tries to return its balance location, however, overshoots it. A mass balanced from a coil, once it is pulled and released then it bounces up & down. The behavior of oscillatory can be exhibited by many systems once they are worried about their location of stationary equilibrium. A damping ratio definition is a dimensionless measure used to describe how oscillations within a system can decompose once a disturbance occurs is known as the damping ratio.