Detail publikace

Beams on Elastic Foundation Using Modified Bettis Theorem

BORÁK, L. MARCIÁN, P.

Originální název

Beams on Elastic Foundation Using Modified Bettis Theorem

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In this paper, the restricted form of the principle of quasi work – the so-called modified Bettis Theorem – is used for developing an alternative analytical solution of beams on an elastic foundation. A brief review of this principle is provided along with the reminder of the classical Winklers model. A methodology is based on the calculation of the deflection of beam on an elastic foundation from the deflection of a reference beam which is topologically equivalent. Fundamental formulae for the reference beam on an elastic foundation are derived and thoroughly discussed. Applying the modified Bettis theorem, these formulae can be used for analysis of any arbitrary topologically equivalent beam on an elastic foundation. The applicability of this methodology is proved and a detailed guidance for its use is provided as well. The methodology is illustrated by three representative examples. The beam on an elastic foundation is a structure which is often used in many areas of technical practice including civil engineering, aerospace engineering etc; thus, the presented alternative way of its analytical solution might be found helpful, mainly for quick calculation and for its simple algorithmization.

Klíčová slova

Beam on elastic foundation; modified Bettis Theorem; Principle of quasi work; Winklers model

Autoři

BORÁK, L.; MARCIÁN, P.

Rok RIV

2014

Vydáno

1. 11. 2014

Nakladatel

ELSEVIER

Místo

THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND

ISSN

0020-7403

Periodikum

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Ročník

88

Číslo

2014

Stát

Spojené království Velké Británie a Severního Irska

Strany od

17

Strany do

24

Strany počet

8

URL

http://www.sciencedirect.com/science/article/pii/S0020740314002422

BibTex

@article{BUT108236,
  author="Libor {Borák} and Petr {Marcián}",
  title="Beams on Elastic Foundation Using Modified Bettis Theorem",
  journal="INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES",
  year="2014",
  volume="88",
  number="2014",
  pages="17--24",
  doi="10.1016/j.ijmecsci.2014.06.014",
  issn="0020-7403",
  url="http://www.sciencedirect.com/science/article/pii/S0020740314002422"
}