具有间隙动力系统的自激振动

ON SELF-EXCITED OSCILLATION OF DYNAMIC SYSTEM WITH GAP

工程机械中不少部件除受弹性力及摩擦力外,在连接或支承处还出现间隙.当间隙很小时略去不计是可以的.但当间隙较大时,它将使部件在运转时产生相当强烈的自激振动,有时甚至造成部件损坏.例如轧钢厂中轧钢机的轧辊就常出现这种情况.在此情况下间隙就不能再略去不计而必需加以考虑.这种将间隙考虑在内的动力系统我们称为具有间隙的动力系统.如上所述对这种系统自激振动的研究有着重要的实际意义.

In mechanical engineering there are many problems belonging to dynamical systems withgap. This kind of systems usually produce self-excited,oscillation (limit cycle) during opera-tion process. In this paper the existence, uniqueness and stability of such self-excited oscil-lation are proved.