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Forced vibrations of an elasto-plastic and deteriorating beam

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Summary

A solution method for elastoplastic vibrating beams including damage accumulation is shown, where inelastic behavior of the structure is represented by an additional loading due to sources of selfstresses acting upon the linear elastic structure of time-invariant stiffness. Response due to this additional loading is evaluated using proper Green's functions. Thus, integral relations are set up, similar to Maysel's formula. Theory is applied to a two span sandwich beam with elastoplastic degrading flanges and elastic core material.

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Authors and Affiliations

  1. Institut für Allgemeine Mechanik, Technische Universität Wien, Karlsplatz 13/201, A-1040, Wien, Austria

    P. Fotiu,  H. Irschik &  F. Ziegler

Authors
  1. P. Fotiu
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  2. H. Irschik
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  3. F. Ziegler
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Additional information

With 8 Figures

Part of the lecture on “Nonstationary Vibrations of Yielding Structures” contributed by F. Ziegler in the Session on Computational Plasticity (Organizers: S. N. Atluri and D. W. Nicholson) to the Aris Phillips memorial symposium (chairman: M. Eisenberg, Gainesville, Florida Jan. 28–30, 1987).

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Fotiu, P., Irschik, H. & Ziegler, F. Forced vibrations of an elasto-plastic and deteriorating beam. Acta Mechanica 69, 193–203 (1987). https://doi.org/10.1007/BF01175721

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  • DOI: https://doi.org/10.1007/BF01175721

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