Beams on Elastic Foundation Using Modified Bettis Theorem

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F14%3APU109542" target="_blank" >RIV/00216305:26210/14:PU109542 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0020740314002422" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0020740314002422</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijmecsci.2014.06.014" target="_blank" >10.1016/j.ijmecsci.2014.06.014</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Beams on Elastic Foundation Using Modified Bettis Theorem

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Beams on Elastic Foundation Using Modified Bettis Theorem

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

<a href="/cs/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

ISSN

0020-7403

e-ISSN

1879-2162

Svazek periodika

88

Číslo periodika v rámci svazku

2014

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

8

Strana od-do

17-24

Kód UT WoS článku

000344428000003

EID výsledku v databázi Scopus

2-s2.0-84905571737