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Remarks on two papers dealing with the response of beams on two-parameter elastic foundations

✍ Scribed by Moshe Eisenberger; Jacobo Bielak

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 115 KB
Volume: 18
Category: Article
ISSN: 0098-8847
DOI: 10.1002/eqe.4290180712

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✦ Synopsis

The following comments are motivated by two recent papers concerned with the vibrations and buckling of beams supported on two-parameter elastic foundations. Both papers contain a mistake in the boundary conditions corresponding to a free end in that they use the stiffness matrices for the beam-foundation system without considering the restraining action of the foundation material outside the beam. This amounts to assuming that the foundation ends abruptly at the beam end-points. The correct boundary conditions for this problem are given by Kerr.3 It is shown in References 4 and 5 that, in practice, to account for the foundation outside the span of the beam one only needs to add a concentrated spring at the free end of the beam, with

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