Harmonic acoustic waves in FG rods with exponential inhomogeneityстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 26 января 2024 г.
Аннотация:Variation of the phase velocity, stress and displacement fields, and specific strain and kinetic energy in functionallygraded (FG) rods with longitudinal exponential heterogeneity, are analyzed by a variant of Cauchy formalism, allowingconstructing secular dispersion equation and the corresponding closed form solutions. The obtained results on dispersionof harmonic waves in a semi-infinite rod reveal (i) substantial spatial dispersion (at the constant time-frequency) of phasevelocity, displacement, and stress, which is caused by the exponential inhomogeneity; and (ii) a non-monotonic spatialdispersion of specific strain and kinetic energy, dependent on the exponents in the exponential terms that specify theconsidered inhomogeneity.