It should be noted that the frequency [[omega].sub.0] is the parallel resonance frequency of the [DELTA][C.sub.r] and [C.sub.A] and is also antiresonance
It is necessary to measure the resonance and antiresonance
frequencies (Figure 7), the capacitance, and the dissipation factor away from the resonance range to obtain the information required to find the material constants .
For larger frequencies there appear resonance (series) antiresonance
(parallel) oscillatory modes at two different frequency regions.
The effective velocities are defined by [v.sub.r] = [f.sub.r][lambda] and [v.sub.a] = [f.sub.a][lambda] at the resonance and antiresonance
Figure 7(a) shows a strong surface currents distribution excited at 8 GHz causing an antiresonance
at this frequency resulting in a band notch.
Here, the main parameters of piezoceramics will be compared: the resonance, [f.sub.r], and antiresonance
, [f.sub.a], frequencies of the electrical impedance and its amplitude, the product of each frequency resonance and the length (thickness, t, or diameter, d) associated with the mode of vibration ([f.sub.r] x d and [f.sub.a] x t), and the piezoelectric coupling factor, [k.sup.2] = [f.sup.2.sub.a] - [f.sup.2.sub.r]/[f.sup.2.sub.a].
The Bode diagram clearly shows an antiresonance
, and our purpose is to use the magnitude of this resonance [M.sub.1] to generate the antiresonant magnitude [M.sub.AR].
Considering the significance of structural vibration reduction for spacecraft or their payloads, a vibration antiresonance
design method is especially proposed to realize the vibration reduction in the paper.
In addition, resonance ([f.sub.r]) and antiresonance
([f.sub.a]) frequencies for these thickness modes of each element are also indicated in Fig.
For this purpose, on the basis of the desired dynamic properties in the form of a sequence of resonance frequencies [[omega].sub.p1], [[omega].sub.p2], ..., [[omega].sub.pn] and antiresonance
frequencies [[omega].sub.z1], [[omega].sub.z2], ..., [[omega].sub.zn] which are, respectively, the poles and zeros of the searched characteristics [Y.sub.U](s), the admittance function [V.sub.U](s) or the dynamic stiffness [U.sub.U](s) is determined in the form
(74) Although the conference criticized leading Soviet chemists, physicists, and philosophers for various failures to properly uphold Marxist principles because the meeting largely upheld the 1950 report's conclusions, the potentially most damaging consequences of the antiresonance
campaign--the threat to quantum chemistry as a discipline--were averted.
The term antiresonance
is used when the reactive part of the impedance of a EM system is very high.