On the problem of experimental research of forced vibrations of plates

Discrete Models in Research of Wave Processes in Rod Structures of Radio-Electronic Means

“…We have investigated the formation of standing waves in the rod (the link of this fact with the resonance phenomenon is described in [2]); the conditions, in which the amplitude of the standing wave in the antinode of a given displacement amplitude of the rod ends will be maximum, are described.…”

“…There is 2 λ n n of the wavelength for such an attachment to fit the length of the rod, where n λ is the wavelength corresponding to a given value n. In [2]- [6] it is shown that n = k, where k is a wave number, and if n = k = 2 (the second natural frequency), the wavelength is l = 2 λ…”

“…The problems of using mathematical modelling techniques for research of physical processes in rod elements under the influence of a short-term shock pulse are considered. The losses of energy in the body of the rod are not taken into account, and it is considered that the pulse keeps its shape and amplitude unchanged for all the movement along the rod [2], [3].…”

“…Therefore, all other points of the rod will gradually make the periodic motion at the same frequency, and as a result of the energy losses, oscillation amplitudes of individual points of the rod will gradually decrease at the distance from the point, which is driven to oscillate. Such oscillatory motions propagating along the rod, gradually fading, belong to the class of wave motions or waves [2].…”

“…The energy loss is not taken into account. In [2], [4] the model of an "infinitely long" non-fading rod is used for the study of wave propagation in the rod. The real rod elements of REM structures have finite length, and one must take into account all the factors that characterise the dynamics of wave processes during the propagation of elastic waves in the rod.…”