Место издания:Wydawnictwo Politechniki Lodzkiej Lodz, Poland
Первая страница:277
Последняя страница:282
Аннотация:The motion of autorotating body in resisting media is a classic problem of mechanics. Interaction of such bodies with the flow leads to rotation. We consider a motion of a four-blade axisymmetric vane with fixed point in the flow of medium. in The fixed point is positioned on the axis of symmetry The vane contains an axisymmetric cavity filled by viscous fluid filling. For simplicity's sake, suppose that symmetry axes of the rotor and the cavity coincide. We assumed that aerodynamic forces are applied to rotor blades only, and aerodynamic load is modeled by means of the quasi steady approach. We assumed that the interior friction is reduced to resultant couple, moment of which depends linearly on the difference between the fluid vorticity vector and the angular velocity of body. We used the Helmholtz type equations for vortex motion of ideal liquid and modernized the dynamic system by introduction of model moment of the interior friction between cavity walls and the viscous filling. Stability of the permanent rotation of vane in medium flow is studied. We obtained the stability conditions for disturbances of angular speed. We compared these conditions with stability condition for disturbances of angular speed of autorotation of a body without filling. We showed that the stability of steady solution for disturbances of angular speed depends only on aerodynamic characteristics of the system.