Multiple Equilibrium States of Nonlinearly Elastic Strings

DOI10.1137/0137043zbMath0434.73017OpenAlexW2017767450MaRDI QIDQ3873642

Stuart S. Antman

Publication date: 1979

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0137043

zbMATH Keywords

existencemultiplicityequilibrium statesqualitative behaviornonlinear elastic stringsconcave equilibrium statesdifferent loading systemsunique convex equilibriumvertically loaded strings

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Thin bodies, structures (74K99)

Related Items (15)

Étude d'un modèle hyperbolique en dynamique des câbles ⋮ Hanging cables with small bending stiffness ⋮ Shallow arch models. An asymptotic approach ⋮ Elastic arches with large elevation. Singularly perturbed problem of nonlinear elasticity ⋮ Multiple equilibria of elastic strings under central forces: Highly singular nonlinear boundary value problems of the Bernoullis ⋮ The effect of bending stiffness on inextensible cables ⋮ An exact, closed-form solution for equilibrium of traveling, sagged, elastic cables under uniformly distributed loading ⋮ Nonlinear eigenvalue problems for the whirling of heavy elastic strings, II: new methods of global bifurcation theory ⋮ A Nonlinear Theory for Traveling and Spinning, Sagged, Elastic Cables ⋮ Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings ⋮ On the topological structure of the set of generalized solutions of the catenary problem ⋮ Asymptotic shapes of inflated noncircular elastic rings ⋮ Vibration of translating cables. ⋮ Asymptotic models for a long, elastic cylinder ⋮ Exotic equilibrium states of the elastic string

This page was built for publication: Multiple Equilibrium States of Nonlinearly Elastic Strings