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Stima dell'errore nel calcolo degli autovettori nel problema del “buckling” di una piastra incastrata al bordo

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Abstract

Exploiting recent results for the approximation of eigenvectors of a positive compact operator, we present formulas for error estimation in the approximation of eigenvectors of the classical buckling eigenvalue problem for a square plate clamped along its boundary. Tables containing estimates of the error in the Rayleigh-Ritz approximation of the first eigenvectors of the problem are given and the functions approximating first eigenvectors are expressed explicitely. The graphics of these functions show previously studied symmetries.

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Authors and Affiliations

  1. Dipartimento di Meccanica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti, 9-25100, Brescia

    A. Aimi & M. Diligenti

Authors
  1. A. Aimi
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  2. M. Diligenti
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Lavoro eseguito nell'ambito del Gruppo Nazionale di Analisi Numerica e Matematica Computazionale-MURST 40%.

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Aimi, A., Diligenti, M. Stima dell'errore nel calcolo degli autovettori nel problema del “buckling” di una piastra incastrata al bordo. Calcolo 30, 171–187 (1993). https://doi.org/10.1007/BF02576180

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  • DOI: https://doi.org/10.1007/BF02576180

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