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By linearization about a trim condition, a decoupled model made of four dynamic modes is derived.
Based on numerical results, a semi analytical boundary that separates the slab's flexural and shear failure modes is derived as a function of peak reflected pressure and duration of blasting wave.
The method for obtaining the short-time narrow-banded modes is derived by minimizing an objective function comprised of three criteria: smoothness of the instantaneous amplitude envelope, smoothness of the instantaneous frequency and complete reconstruction of the signal data.
In the presence of two primary plate waves (Rayleigh-Lamb or shear horizontal modes) propagating in arbitrary directions, an explicit expression for the modal amplitude of nonlinearly generated wave fields with the sum or difference frequency of the primary modes is derived by using the perturbation analysis.
The characteristic equation for finding the natural frequencies and modes is derived by introducing a discrete-type Green function which is a discrete solution of the differential equation governing the flexural behaviour of a sandwich beam under the action of a concentrated load.
Similar(55)
In particular, expressions for the coverage probabilities with different sleeping policies and access modes are derived in closed forms.
The effects of the absorber tuning order on the modes are derived.
General properties of the dispersion relation (eigenvalue relation) for the neutrally stable acoustic modes are derived.
Lastly, the non-linear normal modes are derived again using the phase-closure principle.
The dispersion relation for the symmetric modes are derived by using a modal approach.
The characteristic equations for the natural frequencies of both in-plane and out-of-plane vibration modes are derived.
Related(20)
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Justyna Jupowicz-Kozak
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