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Both modal and wave propagation descriptions are used.
Numerical simulation results are presented for different kinds of structures exhibiting modal and wave propagation characteristics: straight beams, an L-shaped beam, and a three-dimensional frame structure.
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From the derived solution the dispersion relation, modal coefficients, and wave amplification at each location along the structure are extracted, allowing identification of which types of waves are able to propagate along the structure at a given frequency.
The aim of this paper is to introduce a new finite spectral element of a cracked Timoshenko beam for modal and elastic wave propagation analysis.
Due to the simply supported and infinite boundary conditions, the structural response is described by a combination of a modal and a travelling wave solution.
Using integral transform techniques, the modal wave forms are obtained in frequency and wave number domains.
Results demonstrate a prevalence of atypical magnitude and symmetry of mucosal wave during modal and pressed phonations by normophonic persons, differences across techniques, and a relationship between judgments and habitual fundamental frequency.
Also examined are the influences of Coriolis and centrifugal accelerations, rotating velocity, geometric and physical parameters, boundary conditions, initial stresses, modal wave number, and transverse shear deformation.
The results indicate that core softening lowers the degree of coupling between the upper and lower plates, shifts the coupled and decoupled modes of the floor to lower frequencies, and develops decoupled modal wave fields in the upper plate.
Such coupling affects the modal structure, and leads to interactions that produce complete, modal and partial frequency bandgaps along with directional wave motion.
The first part of the algorithm is dedicated to the computation of dispersion curves for layered structures and the corresponding modal wave fields.
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