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Transient longitudinal oscillations of a bar of piece-wise constant rigidity

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Abstract

Using the integral Laplace transform a closed solution to the problem on transient longitudinal oscillations of a bar of piece-wise constant rigidity is constructed with arbitrary initial conditions. It is shown that for any number of pieces of constant rigidity, the oscillation equation, which determines poles of the integrand, has purely imaginary roots. A numerical realization of some problems is given, graphs are given and effects are explained, which are connected to the number of sections of step-like change of rigidity.

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Authors and Affiliations

  1. Odessa University, USSR

    M. V. Radiollo & E. A. Fal'chuk

  2. Odessa Electrotechnic Communication Institute, USSR

    M. V. Radiollo & E. A. Fal'chuk

Authors
  1. M. V. Radiollo
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  2. E. A. Fal'chuk
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Additional information

Translated from Dinamicheskie Sistemy, No. 7, pp. 24–29, 1998.

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Radiollo, M.V., Fal'chuk, E.A. Transient longitudinal oscillations of a bar of piece-wise constant rigidity. J Math Sci 65, 1507–1511 (1993). https://doi.org/10.1007/BF01097653

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  • DOI: https://doi.org/10.1007/BF01097653

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