An optimal passive control of beam vibration

The linear dynamic behavior of the beams carrying concentrated masses and subjected to a harmonic exciting force at an arbitrary point is analyzed. An application of a genetic algorithm for determining the optimum parameters of concentrated masses for minimum of vibration response and sound radiation of cantilever and simply supported beams is described. The principle of virtual work and Rayleigh-Ritz approach are employed for investigation of dynamic behaviour of the beams earning any number of concentrated masses and subjected to a harmonic exciting force. The beam optimization problem is formulated as a constrained task with different objective functions. Numerical results show the appropriateness of the model for optimization of concentrated masses values and their location on a beam. The analytical and experimental results demonstrate that presented methods are effective.