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Stabilité et dynamique d'un oscillateur endommageable

Challamel, Noël / Pijaudier-Cabot, Gilles

This paper deals with stability of a simple damage oscillator, loaded by a constant traction force. Understanding such an elementary model concerns the seismic behavior of concrete structures. The associated dynamic system is a complex hysteretic system: very few results are available in the literature. Using appropriate internal variables, the dynamic system can be written as a singular autonomous system. Liapounov stability of the numerous solutions is then studied. The differences with the “equivalent” non-linear elastic system are highlighted. The unloading part of the anelastic system has a stabilizing effect.

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Stabilité et dynamique d'un oscillateur endommageable

Challamel, Noël / Pijaudier-Cabot, Gilles

This paper deals with stability of a simple damage oscillator, loaded by a constant traction force. Understanding such an elementary model concerns the seismic behavior of concrete structures. The associated dynamic system is a complex hysteretic system: very few results are available in the literature. Using appropriate internal variables, the dynamic system can be written as a singular autonomous system. Liapounov stability of the numerous solutions is then studied. The differences with the “equivalent” non-linear elastic system are highlighted. The unloading part of the anelastic system has a stabilizing effect.

Stabilité et dynamique d'un oscillateur endommageable

Challamel, Noël / Pijaudier-Cabot, Gilles

This paper deals with stability of a simple damage oscillator, loaded by a constant traction force. Understanding such an elementary model concerns the seismic behavior of concrete structures. The associated dynamic system is a complex hysteretic system: very few results are available in the literature. Using appropriate internal variables, the dynamic system can be written as a singular autonomous system. Liapounov stability of the numerous solutions is then studied. The differences with the “equivalent” non-linear elastic system are highlighted. The unloading part of the anelastic system has a stabilizing effect.

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Title:

Stabilité et dynamique d'un oscillateur endommageable

Contributors:

Challamel, Noël (author) / Pijaudier-Cabot, Gilles (author)

Published in:

Revue Française de Génie Civil ; 8 ; 483-505

Publication date:

2004-05-01

Size:

23 pages

ISSN:

DOI:

https://doi.org/10.1080/12795119.2004.9692616

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

non-linear dynamics , damage , stability , autonomous system , simple oscillator , concrete , seismic behaviour , dynamique non linéaire , endommagement , stabilité , système autonome , oscillateur simple , béton , comportement au séisme

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