Convergence of Boobnov-Galerkin method exemplified

Massimiliano Zingales, Massimiliano Zingales, Elishakoff

Risultato della ricerca: Article

1 Citazione (Scopus)

Abstract

In this Note, Boobnov–Galerkin’s method is proved to converge to an exact solution for an applied mechanics problem. We address in detail the interrelation of Boobnov–Galerkin method and the exact solution in the beam deflection problems. Namely, we show the coincidence of these two methods for clamped–clamped boundary conditions, using an alternative set of functions proposed by Filonenko-Borodich.12 Received 25 February 2003; accepted for publication 13 March 2004. Copyright c 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code 0001-1452/04 $10.00 in correspondence with the CCC. ∗J. M. Rubin Distinguished Professor, Department of Mechanical Engineering, 777 Glades Road. †Researcher, Dipartimento di Ingegneria Strutturale e Geotecnica, Viale delle Scienze. We consider a particular case of transverse concentrated load. The series is summed up and shown to coincide with well-known closed-form solutions.
Lingua originaleEnglish
pagine (da-a)1931-1933
Numero di pagine3
RivistaAIAA Journal
Volume42
Stato di pubblicazionePublished - 2004

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Galerkin methods
Space flight
Aviation
Mechanics

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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Zingales, M., Zingales, M., & Elishakoff (2004). Convergence of Boobnov-Galerkin method exemplified. AIAA Journal, 42, 1931-1933.

Convergence of Boobnov-Galerkin method exemplified. / Zingales, Massimiliano; Zingales, Massimiliano; Elishakoff.

In: AIAA Journal, Vol. 42, 2004, pag. 1931-1933.

Risultato della ricerca: Article

Zingales, M, Zingales, M & Elishakoff 2004, 'Convergence of Boobnov-Galerkin method exemplified', AIAA Journal, vol. 42, pagg. 1931-1933.
Zingales M, Zingales M, Elishakoff. Convergence of Boobnov-Galerkin method exemplified. AIAA Journal. 2004;42:1931-1933.
Zingales, Massimiliano ; Zingales, Massimiliano ; Elishakoff. / Convergence of Boobnov-Galerkin method exemplified. In: AIAA Journal. 2004 ; Vol. 42. pagg. 1931-1933.
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