be the olace Find the damping ratio srequ overshoot if Ę is made equal to (a) 0.75 5, and (b) 1.25 ? 6. Write down the d

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Be The Olace Find The Damping Ratio Srequ Overshoot If E Is Made Equal To A 0 75 5 And B 1 25 6 Write Down The D 1 (134.94 KiB) Viewed 46 times

be the olace Find the damping ratio srequ overshoot if Ę is made equal to (a) 0.75 5, and (b) 1.25 ? 6. Write down the differential equations of motion of small free vibration of the systems shown in Fig. 1 to Fig. 3. For each of the underdamped systems, determine: The frequency of free vibration. b) The logarithmic decrement. c) The percentage reduction in peak displacement per cycle, when the system is vibrating freely. 2 Ac d, E bı = 600 mm b2 = 800 mm d=40 mm m= 100 kg E = 20 x 1010 N/m2 k= 200 N/mm c=2000 N.s/m m w B bi k b2 Fig. 1 fi m Uniform rigid rod mi m2 bj = 200 mm b2 = 400 mm m = 5 kg m = 45 kg m2 = 20 kg ki = 500 N/mm k2 = 200 N/mm c= 5200 N.s/m &ki {k bi b2 Fig. 2 di, G d2, G2 D2 Li = 800 mm L2 = 1200 mm di = 30 mm d2 = 20 mm G = 8 x 1010 N/m² G2 = 8 x 1010 N/m I = 0.009 kg.m? D = 0.12 N.m.s/rad D2 = 0.06 N.m.s/rad LI L2 D, and D2 are tortional dampers Fig.3