This paper presents a natural frequency-based method for concentrated mass localization in beam-like structures. The localization of a concentrated mass is achieved by developing a novel index using relative natural frequency change (RNFC) curves and measured RNFCs. The index shows the exact location of the concentrated mass for asymmetrical beams and shows general locations of the concentrated mass including the actual location and its fake counterpart at the symmetrical position for symmetrical beams. With the general locations known, some local inspection methods can be used to identify the specific location. The effectiveness of the proposed method is confirmed by experimental investigation of a simply-supported beam and a clamped-free beam carrying a concentrated mass. In the experiment, the natural frequencies of the beam before and after adding a concentrated mass are measured by non-contact measurement using a scanning laser Doppler vibrometer.
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