In this Note, Boobnov–Galerkin’s method is proved to convergeto an exact solution for an applied mechanics problem. We addressin detail the interrelation of Boobnov–Galerkin method and the exactsolution in the beam deflection problems. Namely, we showthe coincidence of these two methods for clamped–clamped boundaryconditions, using an alternative set of functions proposed byFilonenko-Borodich.12Received 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 personalor internal use, on condition that the copier pay the $10.00 per-copy fee tothe Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA01923; include the code 0001-1452/04 $10.00 in correspondence with theCCC.∗J. M. Rubin Distinguished Professor, Department of MechanicalEngineering, 777 Glades Road.†Researcher, Dipartimento di Ingegneria Strutturale e Geotecnica, Vialedelle Scienze.We consider a particular case of transverse concentrated load.The series is summed up and shown to coincide with well-knownclosed-form solutions.
|Numero di pagine||3|
|Stato di pubblicazione||Published - 2004|
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