Abstract:
On the basis of a refined mathematical model, the stability of a cylindrical hydrodynamic suspension is investigated with full consideration of the dependence of the velocity distribution profile of the liquid on the radial coordinate in the supporting layer. A suspension with a light internal body is stable over a large range of changes in relative eccentricity, and when overloads change by an amount of about a dozen accelerations of free fall, it moves from one equilibrium state to another. A suspension with a heavy inner body is unstable. The use of a refined mathematical model leads to a greater margin of stability of the suspension.
Keywords:cylindrical hydrodynamic suspension, viscous incompressible fluid, combined dynamic systems, frequency stability criterion, boundary value problems.