Statistical characteristics of frequency response localization in nearly periodic systems

Premature failures or malfunctions often occur in a mechanical system that has periodically repeated subcomponents. Due to slight irregularities among subcomponents of the periodic system, maximal frequency responses of a few subcomponents become often significantly larger than those of other subcomponents. These phenomena, called frequency response localization, need to be analyzed elaborately for reliable designs of the periodic systems. In the present study, the strength of frequency response localization for the periodic system is defined and the effects of some parameters on the strength of frequency response localization are investigated statistically.