- 1 For A Second Order System Ris Win 5 2gunstun Verify When Ris 1 Wh Undamped Natural Frequency C 5 1 1 (184.03 KiB) Viewed 29 times
1. For a second order system RIS) win² (5²+ 2gunstun²³² verify when RIS)= $ (1) Wh: Undamped natural frequency >C(5) 1: damping ratib, >0. ocfel, underdamped system Cits = 1- e "swit (cos wat + ·Sin wat) à funt √1-9² e =/- - cos (wat-p) S funt =1- √1-32 Sin (wat + p) 7-9² Wd = | T-pawn damped natural frequency. Wn #= tant ² of = tant 17² . Critically damped system گراد where (2) f=1, c(t) = 1-et (1+wnt) (3) f>1, overdamped system c(t) = 1 + 21/07/²2/1 (eft e' eBt Pi P₂ where P₁=(1+1=1) w/n, B2=lf-19²1) Wn. (4) Find when t→∞o, c(t) = ? For 11) (2) (3). 2. From 1. please check the following answers (a)-(e).