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These radiative modes are then called guided resonances5 or leaky modes.
These displacement modes are then used as basis functions for development of a finite element model.
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The characteristics of EAD damping ratio and frequency of both the bending and torsional modes are then discussed in detail.
Time histories of the propagating modes are then calculated by applying inverse Fourier transformation in the time domain.
The natural frequencies and vibration modes are then computed taking the stress stiffening effects of these piezoelectric stresses into account.
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The effect of planet number in each stage and coupling stiffness on natural modes is then analyzed.
The resulting load displacement traces and deformation/failure modes were then used to validate a series of numerical models.
The phenomenological behavior of higher vibration modes is then investigated using a model of several elastically connected beams referred to as the multiple-mode model.
The relationship between nodal connectivity, morphological regularity and deformation modes is then explored through their influence on biaxial yield surfaces as obtained from finite element analyses.
A shortened dispersion relation for the propagating modes is then derived by polynomial division and its accuracy is numerically tested against the full Kirchhoff-Love dispersion relation.
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