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Study of the effective equations with dispersion for wave propagation in inhomogeneous thin rods - MaRDI portal

Study of the effective equations with dispersion for wave propagation in inhomogeneous thin rods (Q1420663)

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scientific article; zbMATH DE number 2036004
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Study of the effective equations with dispersion for wave propagation in inhomogeneous thin rods
scientific article; zbMATH DE number 2036004

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    Study of the effective equations with dispersion for wave propagation in inhomogeneous thin rods (English)
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    2 February 2004
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    The authors study averaged equations of third order of accuracy with respect to a small parameter \(\varepsilon\), which describe propagation of long elastic waves along cylindrical rod, homogeneous in length but with anisotropic cross-section. Here \(\varepsilon\) is the ratio of rod thickness to a typical wavelength. Some particular solutions of averaged equations are discussed.
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    anisotropy
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    eigenvectors
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    averaged equations
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    small parameter
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    long elastic waves
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