Assume the first and second frequencies of a two-degree-of-freedom system are w1 and wz respectively. The first and seco

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Assume The First And Second Frequencies Of A Two Degree Of Freedom System Are W1 And Wz Respectively The First And Seco 1 (34.77 KiB) Viewed 14 times

Assume the first and second frequencies of a two-degree-of-freedom system are w1 and wz respectively. The first and second mode shapes are [1,1] and [-1,1], respectively. Therefore, the motion of the system can be represented as the superposition of the two modes, which is [ )--[*]cos w eto, +[11]c3lweto $(;+9) Xi( X2(t) (+2) where ay, 02, 01 and 2 are four unknowns. Assuming the initial conditions are: [-01-1*-1) [] X1() X2() and X1(0) (0) Which one of the following responses of xy is correct? O do do X1 = = cos(wit)+cos (w2t) 2 X1 = - 0,0 (6) cos(wy) »---- de cos(we) cos(wt) x = - COS(wit)+..cos(wt) 1 O X1 = 2 O do