Abstract

ABSTRACT 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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