Consider Saint-Venant's principle by means of chain model

Authors
Citation
Jx. Wu, Consider Saint-Venant's principle by means of chain model, APP MATH ME, 21(7), 2000, pp. 775-782
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
0253-4827 → ACNP
Volume
21
Issue
7
Year of publication
2000
Pages
775 - 782
Database
ISI
SICI code
0253-4827(200007)21:7<775:CSPBMO>2.0.ZU;2-R
Abstract
A precise background theory of computational mechanics is formed. Saint-Ven ant's principle is discussed in chain model by means of this precise theory . The classical continued fraction is developed into operator continued fra ction to be the constrictive formulation of the chain model. The decay of e ffect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of S aint-Venant's principle is described as the convergence of operator continu ed fraction. III case of divergence the effect of a self-equilibrated syste m of forces may be non-zero at even infinite distant sections, so Saint-Ven ant's principle is not a common principle.