Extensibility Effects on Euler Elastica’s Stability

Autor:	Z. B. Bao, Ming Jin
Rok vydání:	2012
Předmět:	Critical load Quantitative Biology::Tissues and Organs Mechanical Engineering Mathematical analysis Rotation Stability (probability) Extensibility symbols.namesake Buckling Mechanics of Materials Inflection point Euler's formula symbols General Materials Science Calculus of variations Mathematics
Zdroj:	Journal of Elasticity. 112:217-232
ISSN:	1573-2681 0374-3535
DOI:	10.1007/s10659-012-9407-0
Popis:	Based on the conjugate point theory in calculus of variations, the extensibility effects on the stability of Euler elasticas with one clamped end and the other clamped in rotation in the post-buckling are investigated. For a slender rod, it is shown that: (1) the buckling load is a little bigger than Euler critical load, (2) the addition of extensibility to the elastica does not affect its stability in the post-buckling, in the sense that those Euler elasticas with one inflexion point are stable while those Euler elasticas with more than one inflexion point are unstable.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a8890f643145af901bf469ac184be4c https://doi.org/10.1007/s10659-012-9407-0 Zobrazit plný text záznamu Full text from SpringerLink