ON ASYMPTOTIC PROPERTIES OF SYSTEMS WITH STRONG AND VERY STRONG HIGH-FREQUENCY EXCITATION

The affect of high-frequency excitation on the low-frequency motions of dynamic systems is considered. It is suggested to differentiate between weak, strong and very strong high-frequency excitations. Several approaches and difficulties connected with the analysis of these systems are shown. Systems with strong excitation are examined in a general form. As an example, the responses of a one-degree-of-freedom system to strong and very strong, high-frequency external and parametric excitations are compared. It is indicated, how the results achieved could be generalized for mechanical systems with very strong excitation.