TRANSIENT-RESPONSE OF AN IMPULSIVELY LOADED PLASTIC STRING ON A PLASTIC FOUNDATION

Citation
M. Mihailescusuliciu et al., TRANSIENT-RESPONSE OF AN IMPULSIVELY LOADED PLASTIC STRING ON A PLASTIC FOUNDATION, Quarterly of applied mathematics, 54(2), 1996, pp. 327-343
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0033569X
Volume
54
Issue
2
Year of publication
1996
Pages
327 - 343
Database
ISI
SICI code
0033-569X(1996)54:2<327:TOAILP>2.0.ZU;2-Q
Abstract
The problem of an impulsive loading of a long rigid-plastic string res ting on a rigid-plastic foundation is studied. A closed form solution is obtained by disregarding the longitudinal motion and considering an arbitrarily large transversal motion. Expressions for the final shape of the string are derived in terms of the magnitude of the applied im pulse. It is found that the stress and the foundation reaction force a re not uniquely determined, while the shape of the string is.