AbstractThrough perturbation theory, results are obtained for the dynamic response of the very light equipment component(s) of tertiary equipment‐structure systems. Both the three‐degree‐of‐freedom and multi‐degree‐of‐freedom models are examined. The case of all natural frequencies of the subsystems distinct (detuning) as well as a natural frequency of each subsystem close or equal to one another (tuning) are examined. The results should serve as a reliable and economical alternative to expensive numerical time‐integration schemes which may mask significant response due to ill‐conditioning of the combined system
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