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Journal Biomedical Radioelectronics №4 for 2008 г.
Article in number:
Spatial-Temporal Resonance
Authors:
Kharlanov A. V.
Abstract:
Excitation of oscillations for spatially of distributed systems depends not only on a temporal assotiation of energizing of action, but also from spatial distribution. It is important at excitation of an acoustic oscillations of a cell under influence of an exterior electromagnetic wave.
By virtue of equivalence of coordinates the one-dimensional model - string rigidly fixed from both legs, was taken. The exterior action is affixed on a string (it is supposed that, electromagnetic вона, falling on a cell, raises in it electromagnetic oscillations, which raise acoustic oscillations). The parameters of a string and exterior action are taken maximum close to parameters of a cell.
Evaluations were produced numerically by methods of grids, Newmark and Wilson and were compared among themselves.
Considering exterior action as a stagnant harmonic wave, it was obtained that the greatest amplitude of oscillations arises provided that the frequency of an exterior force is equal to own frequency of oscillations of a string, and along a string the half of length of a wave is stacked. This appearance is possible to name "spatially-temporarily resonance". However at equality of frequencies of acoustic and electromagnetic oscillations of their length of waves will differ on 5 is ordinal, and on the contrary.
It were offered two actions. The first one represents a sum of high-frequency and low-frequency signals. The high frequency a sets spatial distribution of a force (spatial resonance), and the low frequency is necessary for a temporal resonance. Impulse action - high-frequency signal also was offered is included on a short time with a phase equal to a phase of own acoustic oscillations of a string. In both cases, spatial-temporal the resonance was observed