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High-frequency longitudinal vibrations of elastic rods - MaRDI portal

High-frequency longitudinal vibrations of elastic rods (Q1090505)

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scientific article; zbMATH DE number 4007844
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High-frequency longitudinal vibrations of elastic rods
scientific article; zbMATH DE number 4007844

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    High-frequency longitudinal vibrations of elastic rods (English)
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    1986
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    One-dimensional equations are constructed for the high-frequency longitudinal vibrations of elastic rods. Problems in a section are formulated to determine the ''effective'' elastic characteristics of the rod. In the case of a circular rod, the elastic characteristics, dispersion curve, and spectrum are found. Comparisons are made with analogous results of the three-dimensional theory of elasticity and with experiment.
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    effective elastic characteristics
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    long-wave vibration branches
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    average Lagrangian
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    One-dimensional equations
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    high-frequency longitudinal vibrations
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    elastic rods
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    circular rod
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    dispersion curve
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    spectrum
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