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On analytical solutions of vibrations of rods with variable cross sections - MaRDI portal

On analytical solutions of vibrations of rods with variable cross sections (Q800132)

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scientific article; zbMATH DE number 3876722
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On analytical solutions of vibrations of rods with variable cross sections
scientific article; zbMATH DE number 3876722

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    On analytical solutions of vibrations of rods with variable cross sections (English)
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    1983
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    analytical solutions
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    cross-sections vary in axial direction
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    transform equation of motion into form similar to one-dimensional Schrödinger equation
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    second order differential equation
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    transforms Sturm-Liouville equation to particular form of equation of motion
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    Legendre, Hermite and Laugurre functions
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