Abstract
In previous research, techniques have been devised for vibration abatement of mechanical systems based on fixed excitation frequencies. To remove the dependency and sensitivity of the vibration suppression process from the input frequencies, this paper presents a strategy for vibration reduction when the system is run over a wide range of frequencies. The approach is based on a general discretized mathematical system representation. First, the equations for frequency response of these types of models is reviewed. Next, the vibration control plan is formulated as a nonlinear mathematical programming problem so that the peak response amplitudes of a set of degrees of freedom would be diminished. Finally, a numerical optimization algorithm is employed to solve this nonlinear problem. Results for a number of illustrative examples are then summarized and discussed. These results show that the control strategy is strikingly effective in subsiding the vibration.
