A technique for shifting the natural frequencies of beam structures to designated values by using a soft-tuning method is proposed. When the stiffness of beams is changed, the natural frequencies are also altered. Structural stiffness can be increased by enhancing the structures, e. g., strengthening them. Similarly, the stiffness can also be reduced by softening the structures. The natural frequencies can be shifted to the desired values by tuning the depths and locations of cracks, the procedure which is proposed in this report. This method utilizes a transfer matrix technique to obtain an analytical characteristic equation of the system, on which the dynamic frequency tuning is based. Two examples using this method are demonstrated and experimentally validated.
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