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Difference equations approach to the analysis of layered systems

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Abstract

The analysis of chain-like structures is tackled on the basis of difference equations. The advantages of such an approach are outlined. Difference equations for layered systems are derived both in terms of tractions and displacements. Interconnections with other methods are stated. Detailed analysis is given for the case when solution for a single layer is presented by Fourier series (integrals). Practical conclusions are driven at.

Sommario

Nell' articolo vengono esaminate, sulla base di equazioni alle differenze, strutture di tipo ‘catena’. Si mettono in rilievo i vantaggi di un tale approccio. Per i sistemi complessi sono state ottenute equazioni alle differenze sia in termini di trazioni che spostamenti. Vengono stabiliti legami con altri metodi. Si fa un'analisi dettagliata del caso in cui la soluzione per un singolo strato ě rappresentata sotto la forma della serie di Fourier (integrale). Vengono esposti pure risultati pratici.

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Authors and Affiliations

  1. Institute for Engineering Economics, 27, Marat, 191002, Leningrad, USSR

    Alexander Linkov & Nikolay Filippov

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  1. Alexander Linkov
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  2. Nikolay Filippov
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Linkov, A., Filippov, N. Difference equations approach to the analysis of layered systems. Meccanica 26, 195–209 (1992). https://doi.org/10.1007/BF00430937

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  • DOI: https://doi.org/10.1007/BF00430937

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