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The flexural mode numbers are written above the resonance peaks.

Tables containing critical sequential modes and critical circumferential mode numbers are collected for different L/R and h/R ratios.

The linearized system gives rise to singular shocks and through analysing the perturbation profiles at various times, we infer that high mode numbers are dampened through the propagation.

This splits the spectra so that adjacent toroidal mode numbers are assigned to different spectra, and the correct amplitudes of overlapping harmonics can be determined.

In the 0 < h/R ≤ 0.03 interval, all answers have sufficient precision with the FST theory since the instability longitudinal mode numbers are low, and thus flexural deformations are much more significant than shear deformations [2].

In some ranges of small length ratios, results obtained based on FST theory should be more carefully dealt with since the critical longitudinal mode numbers are obtained to be higher than 5, in which FST seems not to be accurate enough.

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This demonstrates that the separation of azimuthal mode numbers is insignificant when the radial mode number is increased.

In order to verify the WGM characteristics from different shaped ZnO MCs, theoretical calculations of WGM mode numbers were performed.

Eigenmodes with same mode numbers were observed in symmetric and anti-symmetric fashion about the center of the plate, for symmetrically wrapped plates.

Results showing the dynamic response of a tandem arrangement of two vertical high aspect ratio (length over diameter) and low mass ratio (mass over mass of displaced fluid) flexible cylinders vibrating at low mode number are presented in this paper.

Measurement time, frequency span and effective mode number were determined by the pretest investigations.

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