STICKING MOTIONS OF IMPACT OSCILLATORS

The present paper is devoted to the study of impact oscillators subjec ted to harmonic excitation. The interest is essentially centred on a f amily of behaviours which has never been systematically investigated b efore: the class of sticking periodic responses of impact oscillators. A formulation of this kind of motion is presented and a Poincare appl ication is built. A method is defined in order to produce its characte ristics and an analytic differentiation of the responses is used to ev aluate local stability. A methodology of analysis, based on a Predicto r-Corrector method, is presented and applied to single and multiple de gree of freedom systems: bifurcation diagrams and parameter space part itionings are developed. (C) Elsevier, Paris.