Некоторые соотношения дискретного и волнового в динамических системах
11
Some relations of discrete and wave in dynamical systems
©
V.F. Smirnov
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article presents analysis of the corpuscular and wave properties of discrete dynamical
systems, and gives proof of limitations of corpuscular approach in assessing the traveling
waves. It is shown that such form of natural vibrations as standing wave allows to obtain a
real loading of the dynamic system in all points only at the moment of maximum deflection
of the masses. As for any given time it works only in some points of the system (node points
of waveforms). On other times the load in the system can be found in accounting of sine of
phase angle between the traveling and standing waves.
Keywords:
wave, corpuscular, dualism, frequency, phase velocity, impedance, damping
coefficient, natural mode.
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Smirnov V.F.
, Ph.D., assoc professor of the Theoretical Mechanics Department at Bau-
man Moscow State Technical University. e-mail:
