Second Order Systems- Part 2

[@baldmonk171]

Underdamped systems are the most practical and most commonly used. The main reason is they will ensure the system always reaches the desired end state with some overshoot. Even though there is overshoot the damping eventually brings the system to the desired state. Critically damped systems, although possible mathematically, are not possible to achieve in the real world and that is why they are not used. You can't achieve them because they are perfect, you could potentially come close but you will always end up either overdamped or underdamped. An overdamped system would never allow the system to reach the desired end state since it is overdamped and that is why they are never used. A simple example is a damper on a large door. It is designed to slow a heavy door down when closing. If the door damper were overdamped the door would never fully close thus making it a poor design. Allowing it to be underdamped ensures it will close fully, but with a minimal amount of "slamming" if the damping is dialed in correctly

[@rajendrasiyag5306]

Thanks for the explanation

[@rd-tk6js]

perf specs of 2nd order syst peak time 0:00 max peak overshoot 9:00 as damp ratio inc -> Mpeak dec thus rise time and peak overshoot conflict 13:00 ie. if damp ration high -> peak overshoot low but rise time large ie. syst is sluggish settling time 15:35 curve of unit step resp of crit, under and over damped 2nd order LTI 21:00 thumbrule is to design underdamped syst with zeta (ie damping ratio) b/w 0.4 and 0.8 crit damped syst is monotonous w/o overshoot and with fastest resp overdamped syst is monotonous yet sluggish

[@sarbayushchatterjee9336]

🫡

[@aslamuddinmuhammad4694]

He made it easy

[@dbss206]

Vehicle suspension system is desired to be critically damped.