A dynamic vibration absorber is shown in Figure 1. This system is representative of many situations involving the vibration of machines containing unbalanced components. The parameters M2 and k12 maybe chosen so that the main mass M1 does not vibrate in the steady state when F(t) = 2 * sin (10 * t)
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Consider again the vibration absorber discussed in Problems 2.2 and 2.10 as a design problem. Using the root locus method, determine the effect of the parameters M2 and k12. Determine the specific values of the parameters M2 and k12 so that the mass M1 does not vibrate when F(t) = a sin(ω0t). Assume that M1 = l, k1 = 1, and b = 1. Also assume that k12 < 1 and that the term k122 may be neglected.
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