In a damaged beam structure, vibration characteristics like natural frequencies and mode shapes undergoes a sharp change due to presence of cracks. In the current investigation, a hybrid intelligent model has been proposed for detection of crack in an aluminium beam structure with free-free boundary conditions. A theoretical investigation has been carried out initially to mathematically model the vibrational parameters of a beam structure. The theoretical model is also supported by an experimental investigation using a free-free aluminum beam of specified dimension in presence and absence of crack. The impact of variations in crack depths and crack locations on natural frequency and mode shapes have been studied extensively. The hybrid intelligent model consisted of Fuzzy logic, Genetic algorithm and Rule based technique in different combinations. Relative natural frequencies of the beam structure are fed as inputs to the hybrid model, and relative crack depth and crack locations are generated as the outputs. Finally, the paper also gives an insight into the comparison of vibrational parameters obtained from numerical and experimental result with that of the proposed hybrid intelligent model.