Oscillations of a prismatic rod (Q2759351)

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scientific article; zbMATH DE number 1681766
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English
Oscillations of a prismatic rod
scientific article; zbMATH DE number 1681766

    Statements

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    12 December 2001
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    prismatic rod
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    beam
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    longitudinal vibrations
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    bending vibrations
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    cantilever beam
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    Oscillations of a prismatic rod (English)
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    A new version of equations for the longitudinal and transverse vibrations of a prismatic bar are obtained. The difference is not only in appearing some additional terms in equations of motion of such a kind as in Timoshenko theory but in the refinement of the boundary conditions and the beam rigidity under the transverse vibrations. Vibrations of the vertical cantilever beam under the horizontal motion of the base from the rest are considered. The results obtained are compared with solutions of the classical theory of bending vibrations of beams.
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