Approximation of harmonic response for the elastic finitely measured system depending on frequency range of external exposure

A problem of harmonic response for the elastic finitely measured system is considered in dependence on the frequency range of external exposure. It is shown that, if the frequency changes in predetermined range containing the system eigen frequencies, its response can be determined with any precision in case that lower or upper spectrum part covering the given interval of external action is known. In the limiting cases, when frequency of external action is less than minimal system frequency (low-frequency exposure) or more than maximal system frequency (high-frequency exposure), the system response can be determined with any precision without any information of the spectrum (frequencies and shape) for the system under research.

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