Journal of Theoretical
and Applied Mechanics

14, 4, pp. 519-534, Warsaw 1976

O stateczności wzajemnego oddziaływania oscylatora i cięgna w ruchu względnym

Roman Bogacz
The paper is devoted to stability analysis of the system consisting of an oscillator which moves along the unbounded tie (string). The tie and the surroundings are also in relative moticm. The velocities of motion are assumed to be constant. The criterions of instability are given. Existence of instability regions in the case of one and two points of interactions between the oscillator and the tie is proved. The configuration of instability regions in the case of single oscillator is fundamentally different from that occurring in the case of the set of oscillators which moves along the string or in the case of electrons interacting with surface waves.