The paper is concerned with the free and forced vibrations of an undamped system in which rigid supports are removed or replaced by new subsystems. Since the modifications involve the constraints of the system, special techniques based on the receptances and transfer ratios associated with displacement excitation at a support are employed. The results are formulated in the modal parameters of the whole of the original unmodified system and any added subsystems; the characteristics of the removed subsystem play no part in the solution. Starting with the problem of the removal of one or more rigid supports, the analysis is extended to modifications of a greater complexity at the supports.
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