On the periodic motions of a one-degree-of-freedom oscillator
article
We present a mechanical model for an oscillator with one degree of freedom under the
influence of a flowing medium. Under fairly general conditions we show that the ensuing
differential equation has at most two limit cycles and we give examples where exactly two
limit cycles will occur. The implications of this result are that it is possible for a system of this kind to exhibit galloping even when the so-called Den Hartog criterion of local instability is not satisfied.
influence of a flowing medium. Under fairly general conditions we show that the ensuing
differential equation has at most two limit cycles and we give examples where exactly two
limit cycles will occur. The implications of this result are that it is possible for a system of this kind to exhibit galloping even when the so-called Den Hartog criterion of local instability is not satisfied.
TNO Identifier
1003398
Source
SeMA Journal, 81, pp. 479-494.
Pages
479-494