z-logo
Premium
Stability Analysis of a Nonlinear Viscoelastic Column
Author(s) -
Distéfano J. N.,
Sackman J. L.
Publication year - 1967
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19670470602
Subject(s) - viscoelasticity , nonlinear system , column (typography) , mathematics , stability (learning theory) , deflection (physics) , gravitational singularity , mathematical analysis , materials science , geometry , physics , classical mechanics , composite material , computer science , connection (principal bundle) , quantum mechanics , machine learning
A Volterra‐Fréchet functional expansion is used to represent the stress‐strain relation of a general nonlinear viscoelastic material. Application is made to the investigation of the stability of a centrally loaded nonlinear viscoelastic column. By investigating the singularities of the integral equation governing the deflection of the column subjected to a small perturbation, general conditions for instantaneous stability are derived. Asymptotic stability of the column is also investigated, and by the use of a general Tauberian theorem, conditions which ensure long time stability of the column are obtained.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here