Detail publikace
Nosníky na pružném podkladu řešené pomocí modifikované Bettiho věty
BORÁK, L. MARCIÁN, P.
Český název
Nosníky na pružném podkladu řešené pomocí modifikované Bettiho věty
Anglický název
Beams on Elastic Foundation Using Modified Bettis Theorem
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
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.
Český abstrakt
Článek se zabývá principem kvazi práce tzv. modifikovaného Bettiho teorému. Uveden je stručný přehled tohoto principu spolu s Winklerovým modelem. Metodika je založena na výpočtu průhybu nosníku na pružném podkladu z průhybu referenčního nosníku, který je topologicky ekvivalentní.
Anglický 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 česky
Prut na pružném podkladu; modifikovaný Bettiho teorém; princip kvazi prací; Winklerův model
Klíčová slova anglicky
Beam on elastic foundation; modified Bettis Theorem; Principle of quasi work; Winklers model
Rok RIV
2014
Vydáno
01.11.2014
Nakladatel
ELSEVIER
Místo
THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN
0020-7403
Ročník
88
Číslo
2014
Strany od–do
17–24
Počet stran
8
BIBTEX
@article{BUT108236,
author="Libor {Borák} and Petr {Marcián},
title="Beams on Elastic Foundation Using Modified Bettis Theorem",
year="2014",
volume="88",
number="2014",
month="November",
pages="17--24",
publisher="ELSEVIER",
address="THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND",
issn="0020-7403"
}