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This is the first study on the mode localization phenomenon in microbeams dueto surface roughness. A new model for microbeams with rough surfaces isdeveloped. The natural frequencies and mode shapes of cantilever, simplesupported, and clamped-clamped microbeams are determined depending on the beamsurface roughness. A parametric study is presented demonstrating two prospects:surface roughness may lead to a zero-frequency mode or a mode localization. Asfor the first prospect, it is demonstrated that surface roughness may add moresoftness to a specific mode of vibration and reduce its natural frequencycausing a rigid-body mode. As for the second prospect, surface roughness mayinhibit the propagation of vibration energy throughout the beam length leadingto a mode localization. It is revealed that a mode localization is accompaniedwith an increase in the natural frequency of the microbeam. It is revealed thatthe description of the beam vibration according to one of these two prospectsdepends on the beam size, parameters of the surface roughness, and the boundaryconditions.

Mode localization phenomenon in microbeams due to surface roughness