Low-frequency resonances in the dynamic interaction of an elastic solid with a semi-bounded medium

The vibration of an elastic rod with a large point mass at one end to which a given harmonic load is applied is investigated. The other end of the rod is connected to a rigid punch in continuous contact with a semi-bounded elastic medium. Some lemmas are proved on systems with simplified boundary conditions with properties which majorize the characteristics of the initial system. The effect of the system parameters on the conditions under which an unbounded resonances occur is thereby determined. Analytic relations for determining the number of resonance frequences are obtained. (C) 1999 Elsevier Science Ltd. All rights reserved.