Publication detail

Beams on Elastic Foundation Using Modified Bettis Theorem

BORÁK, L. MARCIÁN, P.

Original Title

Beams on Elastic Foundation Using Modified Bettis Theorem

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

BORÁK, L.; MARCIÁN, P.

RIV year

2014

Released

1. 11. 2014

Publisher

ELSEVIER

Location

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

ISBN

0020-7403

Periodical

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Year of study

88

Number

2014

State

United Kingdom of Great Britain and Northern Ireland

Pages from

17

Pages to

24

Pages count

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"
}