AUTHOR(S): 

Shuangshuang Li, Jinjun Fan, Ge Chen

TITLE

Passable Motions and Stick Motions of Friction-Induced Oscillator with 2-DOF on a Speed-Varying Belt

KEYWORDS

friction-induced oscillator, two-degree of freedom, discontinuous dynamical system, stick motion

ABSTRACT

In this paper, a two-degree friction-induced oscillator system is presented for passable motions and stick motions. The system consists of two masses moving on a speed-varying traveling belt, which are connected with three linear springs, three dampers and exerted by two periodic excitations. The oscillator system experiences friction between the masses and the traveling belt, and the friction will cause the stick and nonstick motions between the masses and the belt. The dynamical behaviors of passable motions and stick motions of such oscillator system are investigated by using the flow switchability theory of discontinuous dynamical systems. The onset and vanishing conditions for the stick motions between the oscillator and belt are given, and the analytical conditions for the passable motions will also be obtained, from which it can been seen that such oscillator has more complicated and rich dynamical behaviors. There are more theories about such oscillator to be discussed in future.

Cite this paper

Shuangshuang Li, Jinjun Fan, Ge Chen. (2016) Passable Motions and Stick Motions of Friction-Induced Oscillator with 2-DOF on a Speed-Varying Belt. Theoretical and Applied Mechanics, 1, 218-227