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We consider the distribution of the phonon modes in frequency and their atomic displacements and give a unified understanding of the phonon frequencies and Raman spectra of ReS2, TcS2 and ReSe2 in terms of the scaling of Raman frequency with the chalcogen mass.
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The co-existence of frequencies of other modes in the frequency spectra of a particular mode and the presence of sum and difference frequencies around the excitation frequencies and its harmonics could be useful indicators for crack diagnosis.
Also, at higher frequencies the wavenumbers of most flexural modes in a frequency region just above the cut-on frequency, may be estimated by applying equivalent plate theory.
Therefore, in this manuscript, we only discuss the resonance peaks (i.e., the modes A, B, C, and D) with high absorption coefficients of the frequency range of (0.2~3) THz without considering the cases of the low absorption coefficients and the unpredictable frequencies of the modes in the frequency ranges of (3~6) THz and (3~8) THz.
The objective of the active feedback control law is to increase damping of selected modes only, in frequency regions where a disturbance is likely to produce largest effect.
The excitation of surface modes in different frequency regions are investigated.
Among these modes, three modes in the frequency range of 100 400 Hz are used for control, while the other three modes are left as the uncertainty of modeling.
The stabilisation diagram (Fig. 16) further presents several closely spaced modes in the frequency range between 230 and 300 Hz where no modes could be reliably extracted.
For high-frequency vibration, the SEA method is used to derive the scaling law because of the highly coupled modes in the frequency range of analysis.
The same holds for the -mode between 2-3 MHz and 4-5 MHz and for -mode between 3.5 5 MHz, so that the evaluation will be restricted to the first two symmetric and antisymmetric modes in these frequency ranges.
It is suggested in this work that ill-conditioning problem should be dealt by considering all the modes in the frequency range of interest.
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