✍ Scribed by D.G. Karr; A.W. Troesch; R. Levi
No coin nor oath required. For personal study only.
A study is presented of the vibration of a mechanical oscillator which is subjected to intermittent contact with a series of elastic-brittle teeth. This mechanical system models in a fundamental way the process of an ice sheet impinging against an elastic structure. The relative displacement of the elastic tooth is an important indicator variable; characteristic values of this indicator establish the breakage of an elastic tooth and the separation of the oscillator from a tooth, thereby controlling the dynamics of the system. The Poincareḿ appings derived for a particular system of this type are presented. It is found that two types of singularities in the indicator variable functions result in discontinuities and inaccessible subsets in the Poincare´sections. These discontinuities provide a basis for establishing limitations of the system's response. The effects of these singularities on a more realistic system with random uncertainties is then presented.
📜 SIMILAR VOLUMES