Sticking motions of impact oscillators

C Toulemonde (1) , C Gontier (2)

1 EDF R&D MMC - Matériaux et Mécanique des Composants
2 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

The present paper is devoted to the study of impact oscillators subjected to harmonic excitation. The interest is essentially centred on a family of behaviours which has never been systematically investigated before: the class of sticking periodic responses of impact oscillators. A formulation of this kind of motion is presented and a Poincaré application is built. A method is defined in order to produce its characteristics and an analytic differentiation of the responses is used to evaluate local stability. A methodology of analysis, based on a Predictor-Corrector method, is presented and applied to single and multiple degree of freedom systems: bifurcation diagrams and parameter space partitionings are developed.

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Dynamique, vibrations; Structures

C Toulemonde, C Gontier. Sticking motions of impact oscillators. European Journal of Mechanics - A/Solids, 1998, 17 (2), pp.339-366. ⟨10.1016/S0997-7538(98)80090-9⟩. ⟨hal-01508925⟩