Dynamical systems as models for flow-induced vibrations

In this paper a number of oscillators with two degrees of freedom is considered. The oscillators are of the mass-spring-pendulum type and of the double-pendulum type. Attention is paid to the case in which only one degree of freedom interacts with a flowing medium. For the modeling of the flow-induced vibrations use is made of a quasi-steady theory. As model equations systems of nonlinearly coupled harmonic oscillators are obtained. The analysis of these equations is restricted to special periodic and quasi-periodic solutions. The physical interpretation may be of relevance for the understanding of a number of technical problems