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This correspondence presents the development of dynamic model of flexible beam structure using finite difference (FD) method. The simulated model is validated by comparing the resonance modes with the theoretical values. A nature inspired intelligence method, the Particle Swarm Optimization (PSO), is used for the vibration control of the beam and the results are compared with genetic algorithm (GA) approach. The numerical simulation shows that sufficient vibration suppression can be achieved by means of these methods.