RANDOM VIBRATION OF DAMPED MODIFIED BEAM SYSTEMS

In the work presented here, a method is developed to predict the stationary random response of a beam which has been modified by the attachment of a damped, lumped assembly of linear mechanical elements. The initial development treats a general beam system with attached linear elements. Two examples are presented with a cantilever beam modified, respectively, by a tip damper and a damped vibration absorber attached at the tip. The attached vibration absorber presents an interesting optimization problem to find the damping that minimizes the mean-square motion at the beam tip.